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409–432 di 1117 API

Rocket Equation API

Rocket-propulsion maths as an API, computed locally and deterministically. The delta-v endpoint applies the Tsiolkovsky rocket equation, Δv = ve·ln(m0/mf) with the exhaust velocity ve = Isp·g0, to give the velocity change a stage can produce from its wet (fuelled) mass, dry (burnout) mass and specific impulse — the delta-v budget that determines which manoeuvres are possible. The mass-ratio endpoint inverts the equation to give the mass ratio m0/mf = exp(Δv/ve) and the propellant mass fraction required to achieve a target delta-v, and, given a dry mass, the wet mass and propellant needed — revealing the steep, exponential tyranny of the rocket equation. The burn endpoint computes the propellant mass-flow rate ṁ = thrust/ve, the burn time and the total impulse from the thrust and propellant mass, and the delta-v if the wet mass is given. Masses are in kilograms, specific impulse in seconds, exhaust velocity and delta-v in metres per second and thrust in newtons, with standard gravity g0 = 9.80665 m/s². Everything is computed locally and deterministically, so it is instant and private. Ideal for aerospace, model-rocketry, spaceflight-simulation and orbital-mission app developers, stage-sizing and trajectory tools, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rocket propulsion; for orbital velocity and escape velocity use an orbital-mechanics API.

#rocket #tsiolkovsky #delta-v
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api.oanor.com/rocket-api

Soundproofing API

Building-acoustics soundproofing maths as an API, computed locally and deterministically. The mass-law endpoint computes the sound-transmission loss of a single partition from its surface mass density and the frequency using the field-incidence mass law, TL = 20·log10(m·f) − 47 dB — transmission loss rises about 6 dB for every doubling of mass or of frequency — and also gives the normal-incidence value. The composite endpoint combines the transmission losses of several elements that make up one wall, such as a heavy wall with a window or a door, by area-weighting their transmission coefficients, TL = −10·log10(Σ(Ai·τi)/ΣAi) — which shows how the weakest element, like a small gap or a thin window, dominates and wrecks an otherwise good wall. The transmission endpoint computes the received sound level on the far side of a partition, the source level minus the transmission loss, with an optional room-to-room correction that adds 10·log10(partition area / receiving-room absorption). Surface density is in kg/m², frequency in Hz, levels and transmission losses in dB and areas in m². Everything is computed locally and deterministically, so it is instant and private. Ideal for architecture, building-acoustics, studio-design, HVAC-noise and construction app developers, partition and noise-control tools, and acoustics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is sound insulation; for room reverberation use a reverberation API and for sound pressure level a sound-level API.

#soundproofing #acoustics #transmission-loss
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api.oanor.com/soundproof-api

Transmission Line API

Transmission-line RF maths as an API, computed locally and deterministically for a lossless line. The input-impedance endpoint transforms a complex load impedance along a line, Zin = Z0·(ZL + jZ0·tanβl)/(Z0 + jZL·tanβl), from the characteristic impedance, the load resistance and reactance and the electrical length in degrees — a quarter-wave (90°) line inverts the load to Z0²/ZL while a half-wave (180°) line repeats it, which is the basis of impedance matching. The quarter-wave endpoint computes the characteristic impedance Z0 = √(Z1·Z2) of a quarter-wave transformer that matches two real impedances, exact at one frequency. The electrical-length endpoint converts a physical line length to its electrical length in wavelengths, degrees and radians at a frequency, using the on-line wavelength λ = vf·c/f with a velocity factor for the dielectric. Impedances are in ohms (the load split into resistance and reactance), electrical length in degrees, physical length in metres and frequency in hertz. Everything is computed locally and deterministically, so it is instant and private. Ideal for RF, antenna-matching, PCB, radar and microwave app developers, stub-matching and transformer-design tools, and electromagnetics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is line impedance transformation; for SWR and return loss use a VSWR API and for microstrip trace geometry a PCB API.

#transmission-line #rf #impedance-matching
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api.oanor.com/transmissionline-api

Waveguide API

Rectangular-waveguide microwave maths as an API, computed locally and deterministically. The cutoff endpoint computes the cutoff frequency fc = (c/2)·√((m/a)²+(n/b)²) and cutoff wavelength of any TEmn or TMmn mode of a rectangular waveguide of inner width a and height b — below the cutoff a mode is evanescent and cannot propagate, and for the usual a > b the dominant mode is TE10 with fc = c/(2a). The guide-wavelength endpoint computes, at an operating frequency, the free-space wavelength, the guide wavelength λg = λ0/√(1−(fc/f)²) which is longer than free space, and the phase velocity (greater than c) and group velocity (the energy speed, below c). The modes endpoint lists every mode that propagates at a given frequency, sorted by cutoff, and identifies the dominant mode — so single-mode operation needs the frequency between the first and second cutoffs. Dimensions are in millimetres and frequencies in gigahertz, with c = 299,792,458 m/s. Everything is computed locally and deterministically, so it is instant and private. Ideal for RF, microwave, radar, satellite and antenna-feed app developers, waveguide-band and component-design tools, and electromagnetics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is metallic rectangular waveguide; for optical-fibre guiding use a fibre API and for SWR a VSWR API.

#waveguide #microwave #rf
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api.oanor.com/waveguide-api

Optical Fiber API

Optical-fibre photonics maths as an API, computed locally and deterministically. The numerical-aperture endpoint computes a step-index fibre's numerical aperture NA = √(n1² − n2²) from the core and cladding refractive indices, the acceptance angle θa = arcsin(NA) — the half-angle of the cone of light the fibre can capture — the full acceptance cone and the relative index difference Δ = (n1 − n2)/n1. The v-number endpoint computes the normalized frequency V = 2π·a·NA/λ from the core radius, the numerical aperture (or the indices) and the wavelength, classifies the fibre as single-mode when V is below the 2.405 cutoff or multimode above it, and gives the cutoff wavelength for single-mode operation. The modes endpoint estimates the number of guided modes — about V²/2 for a step-index fibre and V²/4 for a graded-index one — and confirms single-mode operation below the cutoff. Core radius and wavelength are in metres (1310 nm = 1.31×10⁻⁶ m) and refractive indices are dimensionless. Everything is computed locally and deterministically, so it is instant and private. Ideal for telecom, photonics, datacenter, sensor and laser app developers, fibre-link and waveguide-design tools, and optics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is optical-fibre guiding; for thin lenses and mirrors use a lens API and for refraction at a surface a Snell API.

#optical-fiber #photonics #numerical-aperture
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api.oanor.com/fiber-api

Inductance API

Inductor-design electromagnetics as an API, computed locally and deterministically. The solenoid endpoint computes the inductance of a straight coil with the long-solenoid formula L = μ₀·μr·N²·A/l, from the number of turns, the coil length, the cross-sectional area (or diameter) and the relative permeability of the core — a ferromagnetic core multiplies the inductance. The toroid endpoint computes the inductance of a doughnut-shaped coil of rectangular cross-section, L = μ₀·μr·N²·h·ln(b/a)/(2π), from the turns, the axial height and the inner and outer radii; the toroidal shape confines the magnetic flux so there is little stray field. The energy endpoint computes the magnetic energy stored in an inductor, E = ½·L·I², and the flux linkage Φ = L·I, from the inductance and current — the energy released when the current is interrupted causes the inductive kick. Lengths are in metres, area in square metres, inductance in henries (millihenries and microhenries also returned) and current in amps, with μ₀ = 4π×10⁻⁷ H/m. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, RF, power-supply, filter and motor-design app developers, coil-winding and inductor-sizing tools, and electromagnetics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is inductance from geometry; for the resonant frequency and reactance use a resonance API and for full AC impedance an impedance API.

#inductance #solenoid #toroid
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api.oanor.com/inductance-api

Blast Effects API

Blast-effects and TNT-equivalence maths as an API for safety engineering and education, computed locally and deterministically. The energy endpoint converts between a TNT charge mass and the energy it releases using the conventional 4.184 MJ per kilogram, in both directions, including the kiloton equivalent. The scaled-distance endpoint computes the Hopkinson-Cranz scaled distance Z = R / W^(1/3) from a standoff distance and a charge weight — the cube-root scaling law means two blasts with the same Z produce the same overpressure — and inverts it to give the standoff distance for a target Z, which is how safety distances are set for a given charge. The overpressure endpoint estimates the peak side-on overpressure with the Brode (1955) correlation from the scaled distance (or from distance and charge), in kilopascals, bar and psi, with a qualitative damage assessment from shattered glass to structural collapse. Charge is in kilograms of TNT, distance in metres and energy in joules. Everything is computed locally and deterministically, so it is instant and private. Ideal for blast-resistant design, demolition, mining, process-safety and emergency-planning app developers, standoff-distance and overpressure tools, and engineering education; for engineering use, consult the applicable standards. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is explosive blast effects; for earthquake magnitude and energy use an earthquake-magnitude API.

#blast #tnt #overpressure
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api.oanor.com/tnt-api

Combinatorics API

Combinatorics maths as an API, computed locally and deterministically with exact arbitrary-precision integers. The factorial endpoint computes n! = 1·2·3···n (with 0! = 1) and returns it exactly as a string together with its digit count, so even very large factorials stay precise. The permutations endpoint counts ordered arrangements: without repetition nPr = n!/(n−r)! arrangements of r items chosen from n, and with repetition n^r, where each of the r positions may be any of the n items. The combinations endpoint counts unordered selections: without repetition the binomial coefficient nCr = n!/(r!·(n−r)!), and with repetition (multisets) C(n+r−1, r), where repeats are allowed. All results are computed with BigInt so they are exact no matter how large, returned as a string with the number of digits and a floating-point approximation when it fits. n and r are non-negative integers up to 100000. Everything is computed locally and deterministically, so it is instant and private. Ideal for probability, statistics, lottery, game-design, cryptography and education app developers, counting and odds tools, and discrete-maths teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is counting combinatorics; for modular arithmetic use a modular API and for descriptive statistics a statistics API.

#combinatorics #permutations #combinations
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api.oanor.com/combinatorics-api

API de Calculadora de Inflación

Matemáticas de economía de inflación como API, calculadas local y determinísticamente. El endpoint adjust expresa un valor a lo largo del tiempo de dos maneras: mediante una tasa de inflación anual durante un número de años, V = monto·(1+r)^años, o mediante una relación de índices de precios al consumidor, V = monto·IPC_fin/IPC_inicio, de modo que un precio antiguo pueda expresarse en dinero actual, con la inflación total del período. El endpoint real-rate calcula la tasa de interés o inversión real (ajustada por inflación) a partir de una tasa nominal y una tasa de inflación utilizando la ecuación de Fisher, 1 + real = (1 + nominal)/(1 + inflación), junto con la aproximación aproximada de nominal menos inflación. El endpoint purchasing-power muestra cómo la inflación erosiona el dinero con el tiempo: el poder adquisitivo futuro de una cantidad actual, monto/(1+r)^años, el valor perdido y la cantidad mayor necesaria para mantener el mismo poder adquisitivo. Las tasas pueden ingresarse como porcentaje o fracción y los montos en cualquier moneda. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de finanzas personales, presupuestos, salarios, planificación de jubilación y economía, herramientas de costo de vida y rendimiento real, y educación financiera. Cálculo local puro: sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es ajuste por inflación; para pagos de préstamos use una API de préstamos y para crecimiento de inversiones una API de inversiones.

#inflation #cpi #real-rate
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api.oanor.com/inflation-api

Colligative Properties API

Colligative-properties chemistry maths as an API, computed locally and deterministically. The freezing-point endpoint computes the freezing-point depression ΔTf = i·Kf·m and the resulting lowered freezing point of a solution, from the molality, the cryoscopic constant (1.86 °C·kg/mol for water) and the van 't Hoff factor i — which is 1 for a non-electrolyte like sugar, about 2 for sodium chloride and about 3 for calcium chloride. The boiling-point endpoint computes the boiling-point elevation ΔTb = i·Kb·m and the raised boiling point, with the ebullioscopic constant (0.512 °C·kg/mol for water). The osmotic-pressure endpoint computes the van 't Hoff osmotic pressure Π = i·M·R·T from the molarity, the temperature and the van 't Hoff factor, the pressure that drives osmosis across a semipermeable membrane, returned in atmospheres, kilopascals and bar. Molality is in mol per kg of solvent, molarity in mol per litre of solution and temperature in kelvin. Everything is computed locally and deterministically, so it is instant and private. Ideal for chemistry-education, food-science, antifreeze, desalination and biology app developers, solution and de-icing tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is colligative properties of solutions; for a compound's molar mass use a molar-mass API and for dilution concentrations a dilution API.

#colligative #chemistry #osmotic-pressure
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api.oanor.com/colligative-api

Material Fatigue API

Mechanical-fatigue engineering maths as an API, computed locally and deterministically. The stress-cycle endpoint decomposes a cyclic load given by its maximum and minimum stress into the alternating stress σa = (σmax − σmin)/2, the mean stress σm = (σmax + σmin)/2, the stress range and the stress ratio R = σmin/σmax, and names the loading (fully reversed at R = −1, repeated at R = 0). The criteria endpoint computes the infinite-life safety factor against fatigue using the three classic mean-stress theories — Goodman (1/n = σa/Se + σm/Sut, standard and safe), Soderberg (uses the yield strength, conservative) and Gerber (a parabola, least conservative) — from the alternating and mean stress, the endurance limit Se, the ultimate strength Sut and an optional yield strength. The endurance-limit endpoint estimates the corrected endurance limit Se = ka·kb·kc·kd·ke·Se' from the ultimate strength, with Se' = 0.5·Sut for steel and the Marin modifying factors for surface finish, size, load type, temperature and reliability. Stresses and strengths use any one consistent unit (MPa is typical). Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical, structural, automotive and aerospace-design app developers, durability and safety-factor tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fatigue and endurance; for static stress transformation use a Mohr-circle API and for column buckling a buckling API.

#fatigue #goodman #endurance-limit
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api.oanor.com/fatigue-api

Hydropower API

Hydroelectric-power engineering maths as an API, computed locally and deterministically. The power endpoint computes the electrical power a hydro plant generates with P = ρ·g·Q·H·η, from the water flow rate, the net head (the effective drop), the overall turbine-generator efficiency (typically 0.80–0.92) and the water density, returning both the gross power at 100 % efficiency and the net electrical output. The sizing endpoint inverts the relation to size a scheme — given a target power it solves the flow rate needed at a known head, or the head needed at a known flow, Q = P/(ρ·g·H·η). The annual-energy endpoint computes the yearly energy from the rated power and a capacity factor (typically 0.3–0.6 for hydro, accounting for water availability and downtime), E = P × 8760 h × capacity factor, and an optional revenue from an electricity price. Flow is in cubic metres per second, head in metres, efficiency 0–1, power in watts, kilowatts and megawatts. Everything is computed locally and deterministically, so it is instant and private. Ideal for renewable-energy, micro-hydro, civil-engineering, feasibility and sustainability app developers, run-of-river and reservoir tools, and energy education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is hydroelectric generation; for wind-turbine power use a wind-power API, for solar resource a solar API and for pump (energy-consuming) duty a pump API.

#hydropower #hydroelectric #renewable-energy
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api.oanor.com/hydropower-api

API de números romanos

Conversión de números romanos como API, calculada local y determinísticamente. El endpoint de codificación convierte un entero del 1 al 3999 en su número romano usando notación sustractiva estándar, por lo que 1994 se convierte en MCMXCIV y 2024 en MMXXIV. El endpoint de decodificación convierte un número romano de vuelta a un entero con validación estricta: rechaza formas mal formadas como IIII o VV y también devuelve la forma canónica de escribir el mismo valor, aceptando cualquier caso de letras. El endpoint aritmético suma, resta o multiplica dos valores dados como enteros o números romanos y devuelve el resultado como número romano y como entero, siempre que el resultado se mantenga dentro del rango clásico de 1 a 3999. Los pares sustractivos estándar son IV, IX, XL, XC, CD y CM. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de tipografía, publicación, educación, esferas de reloj, juegos y procesamiento de documentos, herramientas de numeración y capítulos, y enseñanza de historia. Cálculo local puro: sin clave, sin servicio de terceros, instantáneo. En vivo, no se almacena nada. 3 endpoints. Esto es conversión de números romanos; para conversión de bases numéricas binarias, octales y hexadecimales, use una API de conversión de bases.

#roman-numerals #converter #encoding
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api.oanor.com/roman-api

API de la Escala de Viento Beaufort

La escala de viento Beaufort como API, calculada local y determinísticamente. El endpoint classify convierte una velocidad de viento medida — en metros por segundo, kilómetros por hora, nudos, millas por hora o pies por segundo — en su fuerza Beaufort (0 calma a 12 huracán), con el nombre descriptivo (brisa ligera, vendaval, tormenta…), el estado del mar correspondiente y la altura media de las olas en mar abierto, además de la velocidad expresada en cada unidad. El endpoint force busca un número Beaufort y devuelve su rango de velocidad de viento en todas las unidades, su descripción, condición del mar y altura de las olas. El endpoint convert convierte una velocidad de viento entre metros por segundo, kilómetros por hora, nudos, millas por hora y pies por segundo e informa la fuerza Beaufort coincidente (1 nudo = 0.514444 m/s). Las velocidades usan la altura de referencia estándar de 10 metros y las alturas de olas son medias en mar abierto. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de navegación, marina, aviación, drones, clima y exteriores, herramientas de advertencia de viento y estado del mar, y educación en meteorología. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esta es la escala de viento Beaufort; para la sensación térmica por viento use una API de sensación térmica y para observaciones de viento en vivo una API de datos meteorológicos.

#beaufort #wind #marine
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api.oanor.com/beaufort-api

Feels-Like Temperature API

Feels-like (apparent) temperature meteorology as an API, computed locally and deterministically. The wind-chill endpoint computes how cold the air feels when wind carries body heat away, using the Environment Canada formula WC = 13.12 + 0.6215·T − 11.37·V^0.16 + 0.3965·T·V^0.16 from the air temperature (°C) and wind speed (km/h), valid at 10 °C or below with wind of at least 4.8 km/h. The heat-index endpoint computes how hot it feels in warm, humid air with the US National Weather Service Rothfusz regression from temperature and relative humidity, since high humidity slows sweat evaporation, with the low-/high-humidity adjustments. The apparent-temperature endpoint computes the Australian Bureau of Meteorology apparent temperature, AT = Ta + 0.33·e − 0.70·ws − 4.00, which combines the warming effect of humidity (through the vapour pressure e) and the cooling effect of wind (ws in m/s) in a single feels-like value. Temperatures are in °C (Fahrenheit also returned), humidity in %, wind in km/h for wind chill and m/s for apparent temperature. Everything is computed locally and deterministically, so it is instant and private. Ideal for weather, outdoor-activity, sports, smart-home and wearable app developers, comfort and safety tools, and meteorology education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the feels-like temperature calculator; for the occupational WBGT heat-stress index use a WBGT API and for live weather observations a weather data API.

#feels-like #wind-chill #heat-index
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api.oanor.com/feelslike-api

API de Magnitud de Terremotos

Sismología de magnitud de terremotos como API, calculada local y determinísticamente. El endpoint de energía calcula la energía sísmica radiada liberada por un terremoto de una magnitud dada utilizando la relación de Gutenberg-Richter, log10(E) = 1.5·M + 4.8 con E en julios, y la convierte a un equivalente de TNT en toneladas y kilotones (una tonelada de TNT ≈ 4.184×10⁹ J), con una clasificación de sensación/daño. El endpoint de comparación cuantifica cuánto más grande es un terremoto que otro: cada unidad de magnitud significa aproximadamente diez veces la amplitud del movimiento del suelo en un sismógrafo y aproximadamente 31.6 veces (10^1.5) la energía, por lo que devuelve tanto la relación de amplitudes como la relación de energía entre dos magnitudes. El endpoint de momento-magnitud convierte entre el momento sísmico M0 (en newton-metros, M0 = rigidez × área de ruptura × deslizamiento) y la magnitud de momento con la relación de Hanks-Kanamori Mw = (2/3)·log10(M0) − 6.07, en cualquier dirección. Las magnitudes son adimensionales, la energía está en julios y el momento sísmico en newton-metros. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para educación en sismología, modelado de desastres, seguros, riesgo estructural y desarrolladores de aplicaciones científicas, herramientas de energía y magnitud de terremotos, y enseñanza STEM. Cálculo puramente local — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esta es la calculadora de magnitud de terremotos; para feeds de eventos sísmicos en tiempo real e históricos, use una API de datos de terremotos.

#earthquake #seismology #richter
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api.oanor.com/richter-api

API de Resonador Helmholtz

Acústica de resonador Helmholtz como API, calculada local y determinísticamente. El endpoint de frecuencia calcula la frecuencia de resonancia de un resonador Helmholtz — una cavidad con un cuello, como una botella o una caja de altavoz portada — a partir del área del cuello (o diámetro), la longitud del cuello y el volumen de la cavidad, f = (c/2π)·√(A/(V·L_eff)), añadiendo la corrección acústica de extremo (aproximadamente 0.85·radio para un extremo con brida y 0.61·radio para un extremo libre) de modo que un cuello corto o abierto resuena más bajo de lo que sugiere su longitud física. El endpoint de diseño invierte la relación, V = A·c²/(L_eff·ω²), para dar el volumen de cavidad necesario para sintonizar un resonador o una cámara de silenciador a una frecuencia objetivo. El endpoint de sintonización de puerto dimensiona un puerto de caja bass-reflex (altavoz ventilado) en unidades de audio prácticas — a partir del volumen de la caja en litros y el diámetro del puerto en centímetros da la frecuencia de sintonización para una longitud de puerto dada, o la longitud de puerto requerida para una frecuencia de sintonización objetivo, usando la corrección de extremo de 0.732·diámetro. Los endpoints principales usan unidades SI; la velocidad del sonido por defecto es 343 m/s. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de audio, diseño de altavoces, instrumentos musicales, silenciadores y tratamiento acústico, herramientas de bass-reflex y resonadores, y educación en acústica. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es resonancia Helmholtz; para reverberación de sala use una API de reverberación y para ondas estacionarias en cuerdas y tubos una API de ondas estacionarias.

#helmholtz #acoustics #resonator
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api.oanor.com/helmholtz-api

Solar Position API

Solar-position astronomy as an API, computed locally and deterministically with the NOAA solar-calculator algorithm. The position endpoint gives the sun's elevation (altitude above the horizon), azimuth (clockwise from true north), zenith angle and hour angle for any latitude, longitude, date and local time with a UTC offset — telling you exactly where the sun is in the sky and whether it is above the horizon. The declination endpoint gives the solar declination — the sun's angle north or south of the equator, about +23.44° at the June solstice and −23.44° in December — and the equation of time, the difference between apparent and mean solar time, for any date. The solar-noon endpoint gives the local clock time of solar noon, the peak (noon) elevation 90 − |latitude − declination| and the day length, handling polar day and polar night. Latitudes and longitudes are in degrees (north and east positive), dates are YYYY-MM-DD and times HH:MM:SS local. Everything is computed locally and deterministically, so it is instant and private. Ideal for solar-tracking, PV-panel-orientation, photography golden-hour, agriculture, shading-analysis and astronomy app developers, sun-path and daylight tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the sun's position in the sky; for sunrise and sunset clock times use a sunrise API and for solar irradiance and PV resource a solar-resource API.

#solar-position #sun #azimuth
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api.oanor.com/solarposition-api

Load Cell API

Load-cell (weighing-transducer) maths as an API, computed locally and deterministically. The output endpoint computes the bridge output voltage a strain-gauge load cell produces under a given load, Vout = (load/capacity)·sensitivity·excitation, where the full-scale output FSO = sensitivity(mV/V)·excitation(V) is reached at the rated capacity — it returns the output in millivolts, the equivalent mV/V at that load and the capacity utilization, and flags overload. The load endpoint inverts this to recover the applied load from a measured bridge output, load = (Vout/FSO)·capacity. The array endpoint sizes a multi-cell weighing platform: from the number of identical cells, the per-cell capacity and the live and dead (tare) load it returns the evenly distributed per-cell load, its output and utilization and the total system capacity, so cells can be chosen to stay under capacity in the worst case. Sensitivity is in mV/V, excitation in volts (default 10), output in millivolts; load and capacity share any consistent unit. Everything is computed locally and deterministically, so it is instant and private. Ideal for industrial-weighing, scale, force-measurement, silo and process-control app developers, load-cell sizing and calibration tools, and instrumentation education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is load-cell transducer output; for the underlying Wheatstone-bridge and strain maths use a Wheatstone-bridge API.

#load-cell #weighing #force
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api.oanor.com/loadcell-api

API de Impedancia CA

Matemáticas de impedancia compleja CA como una API, calculada local y determinísticamente. El endpoint en serie calcula la impedancia de un circuito R-L-C en serie a una frecuencia dada — la reactancia inductiva X_L = 2πf·L, la reactancia capacitiva X_C = 1/(2πf·C), la impedancia compleja Z = R + j(X_L − X_C), su magnitud |Z| = √(R²+X²) y el ángulo de fase φ = atan(X/R) — y clasifica el circuito como inductivo (la corriente se retrasa), capacitivo (la corriente adelanta) o resistivo. El endpoint en paralelo calcula una impedancia R-L-C en paralelo a través de su admitancia Y = 1/R + j(ωC − 1/ωL) y Z = 1/Y, con magnitud y fase. El endpoint ac-ohm aplica la ley de Ohm para CA, I = V / |Z|, para dar la corriente RMS y la potencia aparente a partir de un voltaje RMS y una impedancia especificada ya sea como resistencia y reactancia o como una magnitud, y la potencia real cuando se conoce la fase. La resistencia y la reactancia están en ohmios, la inductancia en henrios, la capacitancia en faradios, la frecuencia en hercios y el voltaje RMS en voltios; la fase está en grados. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de electrónica, audio, filtros RF, fuentes de alimentación y control de motores, herramientas de circuitos CA y fasores, y educación en ingeniería eléctrica. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es impedancia compleja CA; para la frecuencia de resonancia y la reactancia sola use una API de resonancia y para la corrección del factor de potencia una API de factor de potencia.

#impedance #ac-circuit #rlc
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api.oanor.com/impedance-api

Circular Motion API

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.

#centripetal #circular-motion #angular-velocity
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api.oanor.com/centripetal-api

NTC Thermistor API

NTC-thermistor sensor maths as an API, computed locally and deterministically. The steinhart-hart endpoint converts between resistance and temperature using the Steinhart-Hart equation, 1/T = A + B·ln R + C·(ln R)³ — the most accurate NTC model — in both directions, solving the resistance at a given temperature with Cardano's cubic formula. The beta endpoint uses the simpler two-point Beta model, 1/T = 1/T0 + (1/β)·ln(R/R0) and R = R0·exp(β·(1/T − 1/T0)), to convert resistance to temperature or back from a reference resistance R0 at T0 (default 25 °C) and the beta coefficient. The divider endpoint recovers the thermistor's resistance from a voltage-divider reading — low-side R = Rs·Vout/(Vsupply − Vout) or high-side — so an ADC voltage can be turned into a resistance and then a temperature. Resistance is in ohms, temperature in °C (kelvin also returned), voltages in volts and beta in kelvin. Everything is computed locally and deterministically, so it is instant and private. Ideal for embedded, IoT, HVAC-control, 3D-printer and battery-management app developers, temperature-sensing and calibration tools, and electronics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is NTC thermistor conversion; for a generic resistive divider use an LED-resistor or voltage-drop API and for thermal expansion a thermal-expansion API.

#thermistor #ntc #steinhart-hart
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api.oanor.com/thermistor-api

API de Estequiometría de Reacciones

Matemáticas de estequiometría de reacciones químicas como API, calculadas local y determinísticamente. El endpoint de reactivo limitante toma dos reactivos con sus cantidades en moles y sus coeficientes de ecuación balanceada y determina cuál se agota primero — el reactivo limitante — comparando la relación moles/coeficiente (el avance de la reacción), y devuelve cuánto del reactivo en exceso sobra. El endpoint de rendimiento calcula el rendimiento teórico de un producto, en moles y gramos, a partir del reactivo limitante y el coeficiente estequiométrico y la masa molar del producto, n_producto = n_limitante·(coef_producto/coef_limitante), y — dado el rendimiento real — el rendimiento porcentual. El endpoint de mol-masa convierte entre moles, masa y número de partículas para una masa molar dada, usando moles = masa / masa_molar y N = moles · número de Avogadro (6.02214076e23). Las cantidades están en moles, las masas en gramos y las masas molares en g/mol. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación química, laboratorio, farmacéuticas e ingeniería química, herramientas de planificación de reacciones y rendimiento, y enseñanza STEM. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es estequiometría de reacciones; para la masa molar de un compuesto a partir de su fórmula use una API de masa molar y para concentraciones de soluciones una API de dilución.

#stoichiometry #chemistry #limiting-reagent
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api.oanor.com/stoichiometry-api