#physics

Centre-of-mass and barycentre mechanics as an API, computed locally and deterministically. The point-masses endpoint computes the centre of mass of a system of point masses in one, two or three dimensions, applying x_com = Σ(m_i·x_i)/Σm_i to each axis from a list of masses and their x (and optional y and z) coordinates — masses of 1, 2 and 3 at positions 0, 1 and 2 give a centre of mass at 1.333, and four equal masses at the corners of a square sit at its centre. The two-body endpoint computes the barycentre of two masses separated by a distance, r1 = d·m2/(m1+m2) from the first body, which always lies closer to the heavier one — for the Earth-Moon system the barycentre is about 4 670 km from Earth’s centre, still inside the planet. Lists may be passed as comma-separated values (masses=1,2,3&x=0,1,2) or as JSON arrays in a POST body, and units are consistent and unit-agnostic. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics, engineering-statics, astronomy, robotics, game-physics and mechanics-education app developers, balance-point and barycentre tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 endpoints. This is the centre of mass; for the rotational moment of inertia use a moment-of-inertia API.

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Física de frenado de vehículos como API, calculada local y determinísticamente. El endpoint de distancia de frenado calcula la distancia total para detener un vehículo como la suma de la distancia de reacción que el vehículo recorre durante el tiempo de reacción del conductor, v·t, y la distancia de frenado v²/(2·μ·g) — que crece con el cuadrado de la velocidad, por lo que duplicar la velocidad cuadruplica la distancia de frenado — a partir de la velocidad, el coeficiente de fricción neumático-carretera, el tiempo de reacción y la pendiente de la carretera, junto con la desaceleración y el tiempo hasta detenerse. El endpoint de fuerza de frenado calcula la fuerza de frenado F = m·a y la desaceleración de un vehículo, ya sea a partir de una parada en una distancia dada (a = v²/2d) o del coeficiente de fricción (a = μ·g), con la energía cinética que debe disiparse como calor. El endpoint de velocidad de derrape reconstruye la velocidad al inicio de un derrape a partir de la longitud de la marca de derrape, v = √(2·μ·g·d), una estimación de límite inferior utilizada en reconstrucción de accidentes. La velocidad está en km/h por defecto (también m/s o mph), la masa en kg y las distancias en m; el asfalto seco tiene μ ≈ 0.7, mojado ≈ 0.4 y hielo ≈ 0.1. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones automotrices, de seguridad vial, flotas, telemática y reconstrucción de accidentes, herramientas de distancia de frenado y forenses, y educación en física. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es frenado de vehículos; para cinemática general use una API de cinemática y para un objeto en una pendiente use una API de plano inclinado.

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Uniform circular-motion physics as an API, computed locally and deterministically. The centripetal-force endpoint computes the centripetal acceleration a = v²/r = ω²·r — always pointing toward the centre — and the centripetal force F = m·a that holds a body on its circular path, from the mass, the radius and either the linear or the angular velocity, and reports the equivalent g-force. The angular endpoint converts between every way of describing rotation — angular velocity (rad/s), revolutions per minute, frequency, period and, given a radius, the linear (tangential) velocity — using ω = 2π·f = 2π/T = v/r. The centrifuge endpoint computes the relative centrifugal force (RCF, in g) of a centrifuge rotor from its speed in rpm and radius, RCF = ω²·r / g, or inverts it to give the rpm needed to reach a target RCF. Masses are in kg, radii in m (mm for the centrifuge), velocities in m/s, angular velocities in rad/s and forces in N. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, mechanical, automotive, lab-centrifuge and amusement-ride app developers, rotational-motion and g-force tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is uniform circular motion; for gravitational orbits use a gravitation API, for a vehicle on a banked curve a banked-curve API and for pendulum oscillation a pendulum API.

api.oanor.com/centripetal-api

Nuclear-physics maths as an API, computed locally and deterministically. The binding-energy endpoint computes a nucleus's mass defect, Δm = Z·m_H + N·m_n − M_atom, and its binding energy E = Δm·c² (1 u = 931.494 MeV) and binding energy per nucleon, from the proton and neutron counts and the measured atomic mass. The semf endpoint estimates the binding energy from the semi-empirical (Bethe-Weizsäcker) mass formula, breaking it into the volume, surface, Coulomb, asymmetry and pairing terms, from just the mass number and proton number. The q-value endpoint computes the energy released or absorbed in a nuclear reaction from the masses of the reactants and products, Q = (Σm_reactants − Σm_products)·c², classifying it as exothermic (fusion of light nuclei or fission of heavy ones) or endothermic. Masses are in atomic mass units and energies in MeV and joules. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, nuclear-engineering, astrophysics and science app developers, reactor and reaction tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is nuclear binding and reactions; for radioactive decay use a half-life API and for atomic energy levels a quantum API.

api.oanor.com/nuclear-api

Matemáticas de física cuántica y atómica como API, calculadas local y determinísticamente. El endpoint fotoeléctrico aplica la ecuación fotoeléctrica de Einstein, KE = hf − φ — a partir de la longitud de onda o frecuencia de la luz incidente y la función de trabajo de un metal, proporciona la energía del fotón, si se emiten electrones, su energía cinética máxima, la frecuencia y longitud de onda umbral (f₀ = φ/h), la velocidad máxima del electrón y el voltaje de frenado. El endpoint bohr calcula el nivel de energía del modelo de Bohr Eₙ = −13.606·Z²/n² eV y el radio orbital rₙ = 0.529·n²/Z Å de un átomo similar al hidrógeno, la energía de ionización y — dado un segundo nivel — la longitud de onda del fotón emitido o absorbido. El endpoint rydberg calcula la longitud de onda de una línea espectral a partir de la fórmula de Rydberg, 1/λ = R·Z²·(1/n₁² − 1/n₂²), y nombra su serie (Lyman, Balmer, Paschen …) y región espectral. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación en física, espectroscopía, astronomía y ciencia, herramientas de física atómica y espectral, y enseñanza STEM. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es física cuántica y atómica; para longitud de onda electromagnética y energía de fotones use una API de longitud de onda y para relatividad especial use una API de relatividad.

api.oanor.com/quantum-api

Gaussian-beam laser-optics maths as an API, computed locally and deterministically. The beam endpoint propagates a Gaussian beam from its wavelength and waist radius: the Rayleigh range z_R = π·w₀²/λ and depth of focus, the divergence half- and full-angle θ = λ/(π·w₀), and — for a given distance — the beam radius and diameter w(z) = w₀·√(1+(z/z_R)²); an optional M² beam-quality factor scales it for real beams. The focus endpoint computes the diffraction-limited focused spot of a lens, w_f = λ·f/(π·w_in), with the depth of focus and the f-number, so you can size the spot a lens will deliver. The irradiance endpoint turns a beam power and spot size into the beam area and the average and on-axis peak irradiance (power density) in W/m² and W/cm². Wavelengths are in nanometres, sizes in millimetres or micrometres, distances in metres and power in watts. Everything is computed locally and deterministically, so it is instant and private. Ideal for photonics, laser-engineering, materials-processing and optics app developers, beam-delivery and laser-safety tools, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is Gaussian-beam laser optics; for refraction use a Snell API and for thin-lens imaging a lens API.

api.oanor.com/laser-api

Matemáticas de relatividad especial como API, calculadas local y determinísticamente. El endpoint lorentz calcula el factor de Lorentz γ = 1/√(1 − β²) a partir de una velocidad (en m/s, km/s o como fracción de la velocidad de la luz β), y — dado un tiempo propio o una longitud propia — el tiempo dilatado Δt = γ·Δt₀ que mide un observador estacionario y la longitud contraída L = L₀/γ. El endpoint energy calcula la energía en reposo E₀ = mc², la energía total E = γmc², la energía cinética KE = (γ − 1)mc² y el momento relativista p = γmv de una masa que se mueve a una velocidad dada, reportando las energías tanto en julios como en electronvoltios. El endpoint mass-energy aplica la ecuación E = mc² de Einstein para convertir entre masa y energía en cualquier dirección, en julios, electronvoltios, megaelectronvoltios y kilovatios-hora. La velocidad de la luz es exactamente 299,792,458 m/s. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación en física, simulación, astronomía y comunicación científica, herramientas de relatividad y física de partículas, y enseñanza STEM. Cálculo puramente local — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es relatividad especial; para movimiento SUVAT cotidiano use una API de cinemática y para mecánica orbital una API orbital.

api.oanor.com/relativity-api

Matemáticas de Bernoulli y flujo incompresible como API, calculadas local y determinísticamente. El endpoint bernoulli aplica el principio de Bernoulli, P + ½ρv² + ρgh = constante a lo largo de una línea de corriente, tomando la presión, velocidad y altura en un punto y resolviendo la presión o velocidad desconocida en un segundo punto, e informando la presión de carga total. El endpoint dynamic-pressure calcula la presión dinámica q = ½ρv² a partir de una velocidad, o — la relación del tubo de Pitot — la velocidad del aire v = √(2q/ρ) a partir de una presión dinámica medida, más la presión de estancamiento (total) cuando se proporciona una presión estática. El endpoint venturi calcula el caudal y las velocidades de entrada y garganta de un venturi o contracción a partir de las áreas de entrada y garganta y la caída de presión, Q = Cd·A₂·√(2ΔP/(ρ(1−(A₂/A₁)²))), combinando continuidad con Bernoulli, con un coeficiente de descarga opcional. La densidad se toma de un valor o de un fluido nombrado (aire, agua, agua de mar, aceite). Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones aeroespaciales, HVAC, fontanería, procesos e hidráulica, herramientas de velocidad del aire y caudalímetros, y educación en mecánica de fluidos. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada se almacena. 3 endpoints. Este es flujo de Bernoulli/línea de corriente; para pérdida de carga por fricción en tuberías use una API Darcy y para medición con orificios una API de orificio.

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Kinematics (SUVAT) maths as an API, computed locally and deterministically. The solve endpoint takes any three of the five constant-acceleration variables — initial velocity u, final velocity v, acceleration a, time t and displacement s — and returns the other two, picking the right equation among v = u + at, s = ut + ½at², s = ½(u+v)t, v² = u² + 2as and s = vt − ½at² automatically. The freefall endpoint computes the fall time, distance and impact velocity for a vertical drop from a height (or over a given time), with an adjustable gravity and optional initial velocity, no air resistance. The stopping endpoint computes reaction, braking and total stopping distance and braking time for a vehicle from its speed and either a deceleration or a road-surface friction coefficient (a = μ·g), with an optional reaction time. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, engineering, simulation, automotive and game-development app developers, motion and braking-distance tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear-motion SUVAT; for projectile launch and trajectory use a projectile API and for momentum and collisions a momentum API.

api.oanor.com/kinematics-api

Gravity-driven pendulum maths as an API, computed locally and deterministically. The simple endpoint computes the period of a simple pendulum, T = 2π·√(L/g), together with its frequency and angular frequency, and solves for the length needed to give a target period — with an optional large-amplitude correction (the first two terms of the amplitude series) for swings where the small-angle approximation no longer holds. The physical endpoint handles a compound (physical) pendulum — any rigid body swinging about a pivot — from its moment of inertia about the pivot, its mass and the distance from the pivot to its centre of mass, T = 2π·√(I/(m·g·d)), and reports the equivalent simple-pendulum length I/(m·d). The conical endpoint solves a conical pendulum, a bob sweeping a horizontal circle, T = 2π·√(L·cosθ/g), giving the radius of the circle, the speed of the bob, the angular velocity and — with a mass — the string tension m·g/cosθ and the centripetal force. Everything is an idealised system under constant gravity with no air resistance or string mass, computed locally and deterministically, so it is instant and private. Ideal for physics-education and engineering tools, clock and metronome design, swing and amusement-ride dynamics, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is gravity-pendulum dynamics; for spring-mass-damper vibration use a vibration API, for rotational kinetic energy use a flywheel API.

api.oanor.com/pendulum-api

Ballistic projectile-motion maths as an API, computed locally and deterministically. The launch endpoint takes a launch speed and angle (and, optionally, a launch height above the landing plane and a custom gravity) and returns the full flight: the horizontal and initial vertical velocity components, the time of flight, the range, the maximum height, the time to the apex and the impact speed and angle — using R = v0²·sin(2θ)/g on flat ground and solving the full quadratic h0 + vy0·t − ½g·t² = 0 when launched from a height. The trajectory endpoint gives the exact state of the projectile — its x and y position, its horizontal and vertical velocity, its speed and its direction — at any given time t or at any given horizontal distance x. The range endpoint works backwards: from a target range it solves the two complementary launch angles that reach it for a given speed (the flat fast shot and the high lob), or the launch speed needed at a chosen angle, and reports the maximum achievable range. Everything is an idealised point mass under constant gravity with no air resistance, computed locally and deterministically, so it is instant and private. Ideal for physics-education and ballistics tools, game and simulation development, sports-trajectory and artillery-style calculators, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is ballistic projectile kinematics; for orbital mechanics use an orbital API, for universal gravitation use a gravitation API.

api.oanor.com/projectile-api

Newtonian gravitation as an API, computed locally and deterministically. The force endpoint applies Newton's law of universal gravitation, F = G·m1·m2/r² — the attractive force between two masses a distance apart, with G = 6.6743×10⁻¹¹ — and solves for whichever of the two masses, the separation or the force you leave out (the Earth and Moon pull on each other with about 2×10²⁰ newtons). The field endpoint gives the gravitational field strength g = G·M/r² at a distance from a mass, or the surface gravity of a built-in body (the Sun, the planets, the Moon and major moons), as a multiple of Earth gravity, and the weight of a test mass placed there. The weight endpoint tells you what something weighs on another world, W = m·g_body — your weight on the Moon, Mars or Jupiter — from a mass or your Earth weight, with the ratio to Earth. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and astronomy-education tools, space and planetary apps, science museums and games, and engineering. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is gravitational force, field and weight; for orbital speed, period and escape velocity use an orbital-mechanics API.

api.oanor.com/gravitation-api

Hooke's law and elastic potential energy as an API, computed locally and deterministically. The hooke endpoint applies F = k·x — the restoring force of a spring equals its spring constant times the extension — and solves for whichever of the force, the spring constant or the displacement you leave out, also returning the elastic potential energy ½·k·x². The energy endpoint computes the elastic potential energy E = ½·k·x² stored in a stretched or compressed spring, solves the extension from a stored energy, and finds the work done in stretching a spring from one extension to another, W = ½·k·(x2² − x1²). The combine endpoint combines springs: in series the assembly is softer, 1/k = Σ 1/kᵢ, and in parallel it is stiffer, k = Σ kᵢ — the spring equivalent of resistors in a circuit. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and mechanics-education tools, spring and suspension design, mechanism and gadget engineering, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the force-extension law and elastic energy; for the spring rate of a helical coil from its geometry use a spring-coil API and for spring-mass natural frequency use a vibration API.

api.oanor.com/hooke-api

Estática y dinámica de plano inclinado y fricción como una API, calculada local y determinísticamente. El endpoint de inclinación analiza un bloque en una rampa: a partir de una masa, el ángulo de inclinación y un coeficiente de fricción, devuelve la fuerza normal N = m·g·cosθ, la componente de la gravedad a lo largo de la pendiente m·g·sinθ, la fricción estática máxima μ·N, si el bloque permanece quieto o se desliza (se desliza cuando tanθ > μ) y, si se desliza, la fuerza neta y la aceleración a = g·(sinθ − μ·cosθ). El endpoint de fricción maneja una superficie plana: la fuerza de fricción f = μ·N (la fuerza normal dada directamente o a partir de una masa), el ángulo de reposo atan(μ), y — dada una fuerza aplicada — si el objeto se mueve y su aceleración. El endpoint de rampa proporciona la fuerza necesaria para mover una carga hacia arriba o hacia abajo por una rampa a velocidad constante, F = m·g·(sinθ ± μ·cosθ), la fuerza sin fricción, la eficiencia y si la rampa es autoblocante. La gravedad por defecto es 9.80665 m/s² y se puede anular. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de educación en física y mecánica, manejo de materiales, diseño de transportadores y rampas, y aplicaciones de estática en ingeniería. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es fuerzas de plano inclinado con fricción; para la ventaja mecánica ideal (sin fricción) de máquinas simples, use una API de palanca.

api.oanor.com/incline-api

Magnetic fields and forces as an API, computed locally and deterministically. The wire endpoint computes the magnetic field around a long straight current-carrying wire, B = μ0·I/(2π·r) — the field at a distance r from a wire carrying a current I — and solves for whichever of the current, the distance or the field you leave out, reporting the field in tesla, millitesla, microtesla and gauss. The solenoid endpoint gives the uniform field inside a long solenoid, B = μ0·n·I (n turns per metre, given directly or as a total number of turns over a length), or the field at the centre of a circular loop, B = μ0·N·I/(2R). The force endpoint computes the magnetic force on a moving charge, F = q·v·B·sin(θ) (the Lorentz force), or on a current-carrying wire in a field, F = B·I·L·sin(θ), with the force per metre. The vacuum permeability μ0 = 4π×10⁻⁷ is built in, with an optional relative permeability for a magnetic core. Everything is computed locally and deterministically, so it is instant and private. Ideal for electromagnetism-education tools, electromagnet, motor and inductor design, magnetic-sensor and physics-simulation apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is magnetostatics; for Coulomb electrostatics use a Coulomb API and for Ohm's-law circuits use an Ohm's-law API.

api.oanor.com/magnetic-api

Linear momentum, impulse and one-dimensional collisions as an API, computed locally and deterministically. The momentum endpoint computes the linear momentum p = m·v of a moving body, with its kinetic energy, and solves for whichever of the mass, velocity or momentum you leave out. The impulse endpoint applies the impulse-momentum theorem, J = F·Δt = m·Δv = Δp: from a force and a time it gives the impulse and, with a mass, the change in velocity; or from a mass and a velocity change it gives the impulse and the average force over a contact time — the physics of a bat hitting a ball or an airbag softening a crash. The collision endpoint solves a head-on collision between two bodies using conservation of momentum and a coefficient of restitution: e = 1 for a perfectly elastic collision (kinetic energy conserved), e = 0 for a perfectly inelastic one (the bodies stick together), or any value between for a partially inelastic collision — returning both final velocities, the conserved total momentum, the kinetic energy before and after, and the energy lost. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education and simulation tools, game and ballistics engines, vehicle-crash and sports apps, and engineering-dynamics software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear momentum and collisions; for rotational angular momentum and flywheel energy use a flywheel API.

api.oanor.com/momentum-api

Newton's law of cooling and convective heat transfer as an API, computed locally and deterministically. The convection endpoint applies the convective-heat-transfer rate Q = h·A·ΔT — the heat carried away from a surface equals the convection coefficient times the area times the temperature difference between the surface and the fluid — and solves for whichever of the heat rate, the coefficient, the area or the temperature difference you leave out, with typical coefficients for natural and forced air, water, boiling and condensing built in. The cooling endpoint applies Newton's law of cooling, T(t) = T_env + (T0 − T_env)·e^(−k·t): from an initial temperature, the ambient temperature and a cooling constant (or time constant τ = 1/k) it gives the temperature after a time, or the time to reach a target temperature, or it solves the cooling constant from a measured temperature at a known time — the maths behind how a hot drink, a forensic body or a cooling casting approaches room temperature. The coefficient endpoint links the cooling constant to the physical properties, k = h·A/(m·c), and the thermal time constant. Everything is computed locally and deterministically, so it is instant and private. Ideal for thermal-engineering and HVAC tools, food-safety and forensic cooling apps, electronics-cooling and process-control software, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is convection and transient cooling; for steady conduction through walls use a U-value API and for thermal radiation use a Stefan-Boltzmann API.

api.oanor.com/cooling-api

Coulomb's-law electrostatics as an API, computed locally and deterministically. The force endpoint computes the electrostatic force between two point charges, F = k·q1·q2/(εr·r²) — Coulomb's law, with k = 8.9876×10⁹ N·m²/C² — from the two charges, their separation and an optional relative permittivity for a dielectric medium, and tells you whether the force is attractive (opposite signs) or repulsive (like signs). The field endpoint gives the electric field of a point charge, E = k·q/(εr·r²), its direction (away from a positive charge, toward a negative one), and the force on a test charge placed there, F = q_test·E. The potential endpoint gives the electric potential V = k·q/(εr·r) and, for a pair of charges, the electrostatic potential energy U = k·q1·q2/(εr·r) in joules and electron-volts. Charges may be entered in coulombs, microcoulombs or nanocoulombs. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and electrical-engineering education tools, electrostatics and field-theory apps, and laboratory and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is electrostatics; for Ohm's law and DC/AC circuits use an Ohm's-law API.

api.oanor.com/coulomb-api

Aerodynamic drag and terminal-velocity maths as an API, computed locally and deterministically. The drag endpoint computes the drag force on a body moving through a fluid, F_d = ½·ρ·Cd·A·v² — half the fluid density times the drag coefficient, the reference area and the velocity squared — together with the dynamic pressure ½·ρ·v², from a fluid (air, water, seawater, oil and more, or a custom density), a drag coefficient (given directly or from a built-in shape table) the area and the speed. The terminal endpoint computes the terminal velocity of a falling object, v_t = √(2·m·g/(ρ·Cd·A)) — the steady speed at which drag balances gravity — from the mass and area, or for a sphere from its diameter and material density, in metres per second, km/h and mph (a belly-down skydiver reaches about 55 m/s, 200 km/h). The shapes endpoint lists typical drag coefficients for spheres, cubes, cylinders, flat plates, streamlined bodies, skydivers, cars, parachutes and more. Everything is computed locally and deterministically, so it is instant and private. Ideal for aerodynamics and ballistics tools, skydiving, model-rocketry and motorsport apps, sphere-settling and sedimentation calculators, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is drag and terminal velocity; for vacuum projectile and SUVAT kinematics use a physics API and for pipe friction pressure drop use a Darcy-Weisbach API.

api.oanor.com/drag-api

Wave-optics diffraction and interference as an API, computed locally and deterministically. The double-slit endpoint applies Young's two-slit interference, d·sinθ = m·λ: from a wavelength and the slit separation it returns the angle of the m-th bright fringe and, given the screen distance, the fringe spacing Δy = λ·L/d and the position of any maximum — the classic experiment that proved light is a wave. The grating endpoint handles a diffraction grating, d·sinθ = m·λ with d = 1/lines: from a wavelength and the grating density (lines per millimetre) it gives the diffraction angle of each order and the maximum observable order ⌊d/λ⌋, flagging orders that do not exist. The single-slit endpoint computes single-slit diffraction, a·sinθ = m·λ for the dark fringes (minima), and, given the screen distance, the width of the bright central maximum 2·λ·L/a. Wavelengths may be entered in metres, nanometres or micrometres. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and optics-education tools, spectroscopy and grating design, laser and photonics apps, and laboratory software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is wave-optics diffraction; for thin-lens imaging use a lens API and for Snell's-law refraction use a Snell API.

api.oanor.com/diffraction-api

Thin-lens and mirror imaging optics as an API, computed locally and deterministically. The lens endpoint applies the thin-lens equation, 1/f = 1/do + 1/di, and solves for whichever of the focal length, object distance or image distance you leave out, then returns the magnification m = −di/do and the full description of the image — real or virtual, upright or inverted, enlarged, reduced or the same size — and whether the lens is converging (convex, f > 0) or diverging (concave, f < 0). The mirror endpoint does the same for a spherical mirror, taking the focal length or the radius of curvature (f = R/2), classifying it as concave or convex and describing the image. The power endpoint converts between focal length in metres and optical power in diopters, D = 1/f, and combines several thin lenses placed in contact by adding their powers, D_total = ΣD, returning the combined focal length. Distances use whatever consistent unit you supply. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and optics-education tools, lens and optical-system design, eyewear and vision apps, and photography learning. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is geometric-optics imaging; for Snell's-law refraction angles use a Snell API and for camera depth of field and field of view use a photography API.

api.oanor.com/lens-api

Coriolis and centrifugal forces in a rotating frame as an API, computed locally and deterministically. The coriolis endpoint computes the Coriolis acceleration a = 2·Ω·v·sin(θ) and, given a mass, the Coriolis force F = m·a, for an object moving at a speed in a frame rotating at a given rate — supplied directly in radians per second, as rpm, or as planet=earth (Ω = 7.2921×10⁻⁵ rad/s) — with the angle taken as the latitude for motion over the Earth or an explicit angle to the rotation axis. The centrifugal endpoint computes the centrifugal acceleration a = ω²·r = v²/r and force from a radius and an angular speed (rad/s, rpm or a tangential velocity), and reports the g-force, handy for centrifuges, rotating machinery and amusement rides. The earth endpoint gives the rotation effects at a latitude: the Coriolis parameter f = 2·Ω·sin(lat), the inertial-oscillation period 2π/|f|, the eastward speed of the Earth's surface, the centrifugal acceleration, and which way moving objects are deflected (right in the Northern Hemisphere, left in the Southern). Everything is computed locally and deterministically, so it is instant and private. Ideal for meteorology, oceanography and geophysics tools, centrifuge and rotating-machinery design, ballistics and physics-education apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotating-frame dynamics; for projectile and SUVAT kinematics use a physics API and for banked-curve cornering use a banked-curve API.

api.oanor.com/coriolis-api

Stefan-Boltzmann thermal radiation and Wien's displacement law as an API, computed locally and deterministically. The power endpoint computes the radiant exitance of a surface, M = ε·σ·T⁴ — how much power a body radiates per unit area at a temperature, from its emissivity (1 for a black body) and absolute temperature — and, given the area, the total radiant power in watts and kilowatts; it also solves the temperature from a measured exitance. Temperatures may be entered in kelvin, Celsius or Fahrenheit. The exchange endpoint computes the net radiative heat transfer between an object and its surroundings, Q = ε·σ·A·(T_object⁴ − T_surroundings⁴), telling you whether the object is losing or gaining heat by radiation. The wien endpoint applies Wien's displacement law, λmax = b/T, to give the peak wavelength and frequency of the thermal spectrum and which band it falls in (the Sun at 5778 K peaks in visible green light, a room at 300 K in the infrared), and solves the temperature from a peak wavelength. The Stefan-Boltzmann constant 5.670×10⁻⁸ and Wien constant 2.898×10⁻³ are built in. Everything is computed locally and deterministically, so it is instant and private. Ideal for heat-transfer and building-physics tools, astronomy, infrared-thermography and solar apps, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is thermal-radiation physics; for the RGB colour of a black body at a colour temperature use a colour-temperature API.

api.oanor.com/radiation-api

Standing-wave and resonance maths for strings and air columns as an API, computed locally and deterministically. The string endpoint models a string fixed at both ends: from its length and the wave speed — given directly or as the tension and the linear mass density (which you can supply directly, or have computed from a mass and length, or from a wire diameter and material density) — it returns the wave speed v = √(T/μ), the fundamental frequency f₁ = v/(2L) and the harmonic series f_n = n·f₁, each with its wavelength and node and antinode count; it can also solve the tension needed to tune the string to a target fundamental. The pipe endpoint does the same for an air column: an open pipe (both ends open) resonates at all harmonics f_n = n·v/(2L) while a closed (stopped) pipe resonates only at the odd harmonics f_n = (2n−1)·v/(4L), with the speed of sound given directly or worked out from the air temperature, v = 331.3·√(1 + θ/273.15). The harmonics endpoint generates the harmonic series from a fundamental frequency, or from a wave speed and a length, for a string, an open pipe or a closed pipe. Everything is computed locally and deterministically, so it is instant and private. Ideal for musical-instrument and luthier tools, acoustics and audio apps, organ-pipe and wind-instrument design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is mechanical standing waves and resonance; for note-to-frequency music theory use a music-note API and for electromagnetic wavelength λ = c/f use a wavelength API.

api.oanor.com/standingwave-api

Calor latente y entalpía de cambio de fase como una API, calculados local y determinísticamente. El endpoint de calor latente aplica Q = m·L — el calor para fundir, congelar, hervir o condensar una sustancia es igual a su masa multiplicada por el calor latente — y resuelve para cualquiera de los valores (calor, masa o calor latente) que omitas, tomando el calor latente de fusión o vaporización directamente o de una tabla de sustancias incorporada (agua, etanol, mercurio, plomo, aluminio, hierro, nitrógeno, oxígeno). El endpoint de cambio de fase calcula la entalpía total de calentar o enfriar una sustancia de una temperatura a otra, combinando automáticamente el calor sensible m·c·ΔT dentro de cada fase con el calor latente en cada transición de fusión y ebullición que cruce, y devuelve un desglose paso a paso — por lo que puede decirte, por ejemplo, la energía total para convertir hielo a −10 °C hasta vapor a 110 °C, usando el calor específico correcto para el sólido, el líquido y el gas. El endpoint de sustancias enumera los calores latentes y los calores específicos por fase. El calor se reporta en julios, kilojulios, vatios-hora y kilocalorías. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de termodinámica y HVAC, refrigeración, calefacción y aplicaciones de ingeniería de procesos, ciencia de alimentos y materiales, y educación en física. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es calor latente y cambio de fase; para calor sensible solo (Q = m·c·ΔT sin cambio de fase) usa una API de calor específico.

api.oanor.com/enthalpy-api

Flywheel and rotational-energy dynamics as an API, computed locally and deterministically. The energy endpoint computes the rotational kinetic energy stored in a spinning body, E = ½·I·ω², together with its angular momentum L = I·ω, in joules, kilojoules and watt-hours — from a moment of inertia (given directly, or worked out from a shape, mass and dimension) and an angular speed given as rpm, radians per second or hertz, which it reports in all three. The inertia endpoint returns the moment of inertia about the central axis for the common shapes — solid disk and cylinder (½·m·r²), thin ring and hoop (m·r²), hollow cylinder (½·m·(r_out²+r_in²)), solid sphere (⅖·m·r²), hollow sphere (⅔·m·r²) and a rod about its centre (1/12·m·L²) or end (⅓·m·L²) — from a mass and a radius, diameter or length. The flywheel endpoint sizes a flywheel: give a target energy and an operating speed and it returns the required inertia I = 2E/ω², or give an inertia and a maximum and minimum rpm and it returns the energy delivered between them, ΔE = ½·I·(ω₁²−ω₂²), with the coefficient of fluctuation. Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical-engineering and energy-storage tools, motor, engine and powertrain design, kinetic-energy-recovery and physics-education apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotational energy and inertia; for bolt tightening torque use a torque API and for power-screw mechanics use a screw-jack API.

api.oanor.com/flywheel-api

Banked-curve and circular-motion dynamics as an API, computed locally and deterministically. The speed endpoint takes the radius of a curve and its banking (bank) angle and returns the frictionless ideal (design) speed at which the banking alone supplies the centripetal force, v = √(r·g·tanθ); give a coefficient of friction as well and it also returns the maximum safe speed before the vehicle slides outward up the bank, v = √(r·g·(tanθ+μ)/(1−μ·tanθ)), and the minimum speed before it slides inward down the bank — every speed in metres per second, km/h, mph and knots, plus the centripetal acceleration. The bank-angle endpoint inverts this: from a design speed and radius it returns the ideal banking angle θ = atan(v²/(r·g)) and the equivalent superelevation as a ratio and a percentage, the cant a road or railway needs so no side friction is used at that speed. The flat-curve endpoint handles an unbanked curve from the coefficient of friction: the maximum cornering speed v = √(μ·r·g) for a given radius and the minimum radius v²/(μ·g) for a given speed. Gravity defaults to standard 9.80665 m/s² and can be overridden. Everything is computed locally and deterministically, so it is instant and private. Ideal for road and racetrack design tools, vehicle-dynamics and driving-simulator apps, civil and transportation engineering, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is curve banking and cornering dynamics; for projectile and SUVAT kinematics use a physics API.

api.oanor.com/bankedcurve-api

Thermal-expansion maths as an API, computed locally and deterministically. The linear endpoint computes how much a solid grows or shrinks when its temperature changes, ΔL = α·L0·ΔT, returning the change in length and the new length from an original length, a temperature change (given directly or as an initial and final temperature) and the linear expansion coefficient α — taken from a built-in material table (steel, aluminium, copper, concrete, glass, invar and more) or supplied directly; lengths accept metres, centimetres, millimetres, feet or inches. The volume endpoint computes volumetric expansion, ΔV = β·V0·ΔT, where for a solid the volumetric coefficient is β ≈ 3α and for a liquid (water, ethanol, mercury, petrol and others) β is taken directly; volumes accept cubic metres, litres, millilitres or cubic feet. The materials endpoint lists the coefficients. A negative temperature change gives contraction. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and mechanical engineering tools, rail, pipe and bridge expansion-gap design, manufacturing-tolerance and HVAC apps, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is thermal expansion; for heat energy and temperature change use a specific-heat API.

api.oanor.com/thermalexpansion-api

Doppler-effect maths as an API, computed locally and deterministically. The sound endpoint computes the acoustic Doppler shift, f' = f·(v + vo) / (v − vs), where v is the speed of sound (given directly, derived from an air temperature, or the default 343 m/s at 20 °C), vs is the source velocity and vo the observer velocity, with positive velocities meaning approaching: it returns the observed frequency and the frequency shift, and refuses a supersonic source. The light endpoint computes the relativistic Doppler effect for light, f' = f·√((1+β)/(1−β)), from a velocity in metres per second or as a fraction of the speed of light and a direction (approaching blue-shifts, receding red-shifts), returning the frequency and wavelength factor, the observed frequency or wavelength, and the redshift z. The radial-velocity endpoint reverses it: from a measured redshift, or an observed and rest wavelength, it recovers the radial velocity with the exact relativistic relation and the simple v ≈ z·c estimate. Frequencies are in hertz, wavelengths in nanometres, velocities in metres per second. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and astronomy education, radar, sonar and lidar tools, audio and acoustics apps, and spectroscopy and redshift calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the Doppler effect; for sound levels and decibels use an acoustics API.

api.oanor.com/doppler-api

Snell's-law refraction optics as an API, computed locally and deterministically. The refraction endpoint applies Snell's law, n1·sin(θ1) = n2·sin(θ2): from the refractive indices of two media (given directly or by material — vacuum, air, water, glass, diamond and more) and the angle of incidence it returns the angle of refraction, or solves for the incidence angle from a refraction angle; when light passes into a less dense medium beyond the critical angle it reports total internal reflection instead of a refracted ray. The critical-angle endpoint gives the threshold for total internal reflection, θc = asin(n2/n1) for n1 > n2 — the principle behind optical fibres — defaulting the exit medium to air. The speed endpoint gives the speed of light in a medium, v = c/n, as a fraction of c, and — with a vacuum wavelength — the shorter wavelength inside the medium (the frequency is unchanged). Angles are in degrees, wavelengths in nanometres. Everything is computed locally and deterministically, so it is instant and private. Ideal for optics and photonics tools, fibre-optic and lens-design apps, photography and physics education, and AR/VR and rendering software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is Snell's-law refraction; for camera depth of field and field of view use a photography API.

api.oanor.com/snell-api

Calorimetry (specific-heat) maths as an API, computed locally and deterministically. The heat endpoint applies the sensible-heat equation Q = m·c·ΔT — the heat energy equals the mass times the specific heat times the temperature change — and solves for whichever of the four quantities you leave out, taking the temperature change directly or as the difference of an initial and final temperature, and the specific heat directly or from a built-in material (water, ice, aluminium, copper, steel, glass, ethanol and more); it reports the heat in joules, kilojoules, calories, kilocalories and watt-hours. The mix endpoint finds the equilibrium temperature when two bodies at different temperatures are brought into thermal contact, Tf = (m1·c1·T1 + m2·c2·T2) / (m1·c1 + m2·c2), with the heat transferred, for the same or different materials. The materials endpoint lists typical specific heats. Use SI units — mass in kilograms, specific heat in joules per kilogram-kelvin, temperatures in °C or K (the difference is the same). Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and chemistry education, thermal-engineering and HVAC tools, cooking and brewing apps, and material-science calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is calorimetry; for the ideal gas law use a gas-law API.

api.oanor.com/specificheat-api

Radioactive (exponential) decay maths as an API, computed locally and deterministically. The decay endpoint computes how much of a substance remains after a given time, N(t) = N0·(1/2)^(t/T½) = N0·e^(−λt): from a half-life (or a decay constant or mean lifetime), an elapsed time and an optional initial amount, it returns the fraction and percent remaining, the remaining and decayed amounts, the number of half-lives elapsed, and — if you give an initial activity — the remaining activity, which decays by the same factor. The constant endpoint converts freely between the half-life T½, the decay constant λ = ln2/T½ and the mean lifetime τ = 1/λ = T½/ln2. The age endpoint reverses the decay to find the elapsed time from the fraction remaining, t = T½·log₂(1/fraction) — the basis of radiometric (carbon-14) dating — and accepts either a fraction or a remaining and initial amount. Time and half-life share one unit, and the results come out in that unit. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and chemistry education, nuclear-medicine and dosimetry tools, archaeology and geology dating, and pharmacokinetics and science apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is exponential decay; for the ideal gas law use a gas-law API and for the chemical elements use an elements API.

api.oanor.com/halflife-api

Wind-turbine power maths as an API, computed locally and deterministically. The power endpoint applies the wind-power equation P = ½ · ρ · A · v³ · Cp: from the wind speed, the rotor (given as swept area, diameter or blade length) and an optional air density and power coefficient, it returns the total power in the wind, the Betz maximum (the theoretical 16/27 ≈ 59.3 % limit) and the power actually extracted at the chosen coefficient — in watts, kilowatts, megawatts and horsepower. The energy endpoint multiplies power by time and an optional capacity factor to give the energy produced in watt-, kilowatt- and megawatt-hours, taking the power directly or deriving it from the wind and rotor. The sweptarea endpoint is a geometry helper: swept area from a diameter, radius or blade length, plus the blade-tip speed and tip-speed ratio from an rpm. Wind speed accepts metres per second, km/h, mph or knots; air density defaults to 1.225 kg/m³ at sea level. Because power scales with the cube of wind speed and the square of rotor diameter, small changes move it a lot — the API shows every intermediate value. Everything is computed locally and deterministically, so it is instant and private. Ideal for renewable-energy and engineering tools, education and physics apps, site-assessment and feasibility calculators, and STEM projects. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is wind-turbine power physics; for the Beaufort wind scale use a wind-scale API and for solar arrays use a solar API.

api.oanor.com/windpower-api

Ideal-gas-law maths as an API, computed locally and deterministically. The ideal endpoint solves PV = nRT for whichever quantity you leave out: provide any three of pressure, volume, amount of substance (moles) and temperature, and it returns the fourth in several units. The combined endpoint applies the combined gas law, P₁V₁/T₁ = P₂V₂/T₂: give a first state and two quantities of the second state and it finds the missing one — handy for "what happens to the volume if I double the pressure" questions. The density endpoint computes the density of an ideal gas from the pressure, temperature and molar mass (ρ = P·M / R·T). Pressure accepts pascals, kPa, bar, atm, psi, mmHg and Torr; volume accepts m³, litres, mL and cubic feet; temperature accepts kelvin, Celsius and Fahrenheit; and the gas constant R is 8.314462618 J/(mol·K). Everything is computed in SI internally and is instant and private. Ideal for chemistry and physics education, lab and process tools, HVAC and scuba calculations, and engineering software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is ideal-gas thermodynamics; for the chemical elements and periodic-table data use an elements API.

api.oanor.com/gaslaw-api

Electromagnetic-wave maths as an API, computed locally and deterministically. The convert endpoint converts between wavelength and frequency (λ = c ÷ f) and also reports the period, the wavenumber, the photon energy and the part of the spectrum — optionally for light travelling in a medium of a given refractive index, where the wavelength scales by 1/n while the frequency stays the same. The energy endpoint gives the photon energy in joules, electron-volts and kilo-electron-volts from a wavelength or frequency (E = h·f = h·c ÷ λ). The band endpoint classifies a wavelength or frequency into the electromagnetic spectrum — radio, microwave, infrared, visible, ultraviolet, X-ray or gamma — and adds the ITU radio sub-band (ELF through EHF) and the approximate colour for visible light. Frequencies accept Hz/kHz/MHz/GHz/THz and wavelengths m/cm/mm/µm/nm/pm/ångström. Everything is computed locally and deterministically, so it is instant and private. Ideal for RF and antenna tools, optics and photonics, spectroscopy and lab software, physics and astronomy education, and amateur radio. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is electromagnetic-wave physics; for general unit conversion use a unit-conversion API.

api.oanor.com/wavelength-api

Classical-mechanics maths as an API. The kinematics endpoint is a full SUVAT solver: give any three of initial velocity (u), final velocity (v), acceleration (a), time (t) and displacement (s) and it computes the rest using the standard constant-acceleration equations. The projectile endpoint takes a launch speed and angle (and an optional launch height and gravity) and returns the horizontal and vertical velocity components, the time to the peak, the maximum height, the total flight time, the range and the impact speed. The free-fall endpoint computes a vacuum fall from a height or for a time, with an optional initial velocity, returning the fall time, distance and impact velocity. Gravity defaults to standard 9.80665 m/s² but can be set for the Moon, Mars or any body. Everything is computed locally and deterministically in SI units, so it is instant and private. Ideal for physics education and homework, engineering and simulation, game and ballistics development, and motion tools. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 4 endpoints. This is motion physics; for planetary data use a planets API and for unit conversion use a unit API.

api.oanor.com/physics-api

Acoustics and decibel maths as an API. The decibel endpoint converts between a linear ratio and decibels, in either the power convention (10·log₁₀) or the amplitude/pressure convention (20·log₁₀), in both directions. The combine endpoint adds sound levels the way real (incoherent) sources combine — by energy summation, so two equal 80 dB sources give 83 dB, not 160 — and can also subtract a known source from a measured total. The distance endpoint applies the inverse-square law to a point source in a free field (−6 dB per doubling of distance) to find the level at a new distance. The wavelength endpoint converts between frequency and wavelength for sound, deriving the speed of sound from the air temperature (or a value you provide). Everything is computed locally and deterministically, so it is instant and private. Ideal for audio engineering and live sound, room and architectural acoustics, noise assessment and environmental monitoring, and physics teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 5 endpoints. This is acoustics maths; for electrical circuits use an Ohm's-law API and for general unit conversion use a unit API.

api.oanor.com/soundlevel-api

Matemática de circuitos eletrônicos como uma API. O endpoint ohms-law recebe quaisquer dois dos parâmetros tensão, corrente, resistência e potência e retorna todos os quatro (V = IR, P = VI = I²R = V²/R). O endpoint combine calcula o total de resistores, capacitores ou indutores ligados em série ou paralelo — resistores e indutores somam em série e combinam-se reciprocamente em paralelo, enquanto capacitores fazem o oposto. O endpoint voltage-divider calcula a tensão de saída de um divisor de dois resistores e a corrente através dele. O endpoint reactance calcula a reatância capacitiva (Xc = 1/2πfC), a reatância indutiva (XL = 2πfL), a frequência de ressonância LC e a constante de tempo RC ou RL. Tudo é calculado localmente com fórmulas exatas em unidades SI, portanto é instantâneo e privado. Ideal para design e educação em eletrônica, engenharia embarcada e de hardware, projetos de hobby e bancada, e ensino de física. Cálculo local puro — sem chave, sem serviço de terceiros, instantâneo. Ao vivo, nada armazenado. 5 endpoints. Isto é matemática de circuitos; para códigos de cores de resistores use uma API de resistores e para conversão geral de unidades use uma API de unidades.

api.oanor.com/ohmslaw-api

A 2D, 3D and n-dimensional vector maths toolkit. The op endpoint performs the operation you ask for on one or two vectors: add and subtract, scale by a factor, negate, the dot product, the cross product (a vector in 3D, the scalar z-component in 2D), the magnitude (length), the unit (normalized) vector, the Euclidean distance and the angle between two vectors (in both radians and degrees), linear interpolation (lerp) between two vectors, and the projection of one vector onto another. The info endpoint analyses a single vector — its dimension, magnitude, unit vector and, for 2D, its heading angle from the x-axis. Vectors are just comma-separated components like 3,4 or 1,2,3, and operations work in any dimension up to 32 (cross product is 2D/3D only). Everything is exact local maths, so it is instant and deterministic. Ideal for game and physics engines, graphics and WebGL/canvas, robotics and navigation, data-visualisation, simulations and engineering tools. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This does vector algebra; for plane-angle unit conversion use the Angle API and for shape area/perimeter use the Geometry API.

api.oanor.com/vector-api

Las constantes físicas fundamentales NIST CODATA 2022 como una API — 355 cantidades utilizadas en toda la física e ingeniería. Busque cualquier constante por nombre o slug (por ejemplo, velocidad de la luz en el vacío → 299792458 m/s, exacto; constante de Planck, carga elemental, constante de Avogadro, constante de Boltzmann, constante de gravitación newtoniana), busque por palabra clave, o enumérelas todas. Cada registro lleva el valor recomendado, la incertidumbre estándar, la unidad SI y si el valor es exacto (por definición desde la redefinición del SI de 2019). Ideal para calculadoras científicas, software de física/ingeniería, educación y herramientas de laboratorio.

api.oanor.com/constants-api