For the complete documentation index, see llms.txt.
84 endpoints

Science API

Same bearer token, same credit pool, same JSON envelope as every other endpoint — drop them into apps, sites, workflows, or agents without rebuilding formulas, validation, or docs.

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Astronomy
Astronomical Unit Converterastronomical-unit-converter
Convert astronomical distances among AU, light-time, parsecs, kilometers, and miles.
1cr · v2026-04-22
Chemical Calculators
Dilution Calculatordilution-calculator
Solve M1V1 = M2V2 for stock concentration, stock volume, final concentration, or final volume.
1cr · v2026-04-22
Empirical Formula Calculatorempirical-formula-calculator
Empirical formula from element mass percentages or masses, with optional molecular formula when a molecular mass is supplied.
1cr · v2026-04-22
Molality Calculatormolality-calculator
Calculate molality and colligative freezing and boiling point shifts.
1cr · v2026-04-22
Molar Mass Calculatormolar-mass-calculator
Molar mass of a chemical formula with per-element atom count, contribution, and percentage composition, supporting nested parentheses.
1cr · v2026-04-22
Molarity Calculatormolarity-calculator
Calculate molarity, solute mass, or solution volume from mass, molar mass, and volume.
1cr · v2026-04-22
Mole/Gram/Particle Convertermole-gram-particle-converter
Convert among moles, grams, and particles using molar mass and Avogadro's constant.
1cr · v2026-04-22
Nernst Equation Calculatornernst-equation-calculator
Calculate electrochemical cell potential under non-standard conditions.
1cr · v2026-04-22
Osmotic Pressure Calculatorosmotic-pressure-calculator
Calculate osmotic pressure from molarity, temperature, and van't Hoff factor.
1cr · v2026-04-22
pKa to Ka Converterpka-to-ka-converter
Convert between pKa, Ka, pKb, and Kb for an acid-base conjugate pair.
1cr · v2026-04-22
Chemistry
Beer-Lambert Law Calculatorbeer-lambert-law-calculator
Solve A = epsilon l c for absorbance, molar absorptivity, concentration, or path length.
1cr · v2026-04-22
Boiling Point Elevation Calculatorboiling-point-elevation-calculator
Calculate boiling point elevation from molality, Kb, and van't Hoff factor.
1cr · v2026-04-22
Freezing Point Depression Calculatorfreezing-point-depression-calculator
Freezing point depression (delta-Tf = i * Kf * m) from molality or from solute/solvent mass, with a van't Hoff factor for ionic solutes.
1cr · v2026-04-22
Henderson-Hasselbalch Calculatorhenderson-hasselbalch-calculator
Buffer pH from pKa and the conjugate base/acid ratio, or solve for the ratio or the pKa, via the Henderson-Hasselbalch equation.
1cr · v2026-04-22
Percent Yield Calculatorpercent-yield-calculator
Solve percent yield, actual yield, or theoretical yield.
1cr · v2026-04-22
pH Calculatorph-calculator
pH, pOH, [H+], and [OH-] from any one of them, with acidity classification at 25 C.
1cr · v2026-04-22
Electrical
Parallel Resistor Calculatorparallel-resistor-calculator
Calculate equivalent resistance and current sharing for resistors in parallel.
1cr · v2026-04-22
Power Factor Calculatorpower-factor-calculator
Calculate power factor, reactive power, or capacitor correction values.
1cr · v2026-04-22
RC Time Constant Calculatorrc-time-constant-calculator
Calculate RC circuit time constant, cutoff frequency, and charging or discharging levels.
1cr · v2026-04-22
Electronics
555 Timer Calculator555-timer-calculator
Calculate 555 timer astable frequency, period, duty cycle, or monostable pulse width.
1cr · v2026-04-22
Capacitor Calculatorcapacitor-calculator
Calculate capacitor charge, stored energy, reactance, RC timing, or decode ceramic capacitor codes.
1cr · v2026-04-22
Decibel (dB) Calculatordecibel-db-calculator
Calculate power dB, voltage dB, dB ratios, and dBm/dBW/watt conversions.
1cr · v2026-04-22
Ohm's Law Calculatorohm-s-law-calculator
Calculate voltage, current, resistance, and power from any two known values.
1cr · v2026-04-22
Parallel Capacitor Calculatorparallel-capacitor-calculator
Calculate equivalent capacitance for capacitors in parallel.
1cr · v2026-04-22
Resistor Color Code Calculatorresistor-color-code-calculator
Calculate 4-band, 5-band, and 6-band resistor values from color bands.
1cr · v2026-04-22
Resonant Frequency Calculatorresonant-frequency-calculator
Calculate LC/RLC resonant frequency, inductance, capacitance, impedance, Q factor, and bandwidth.
1cr · v2026-04-22
Series Resistor Calculatorseries-resistor-calculator
Calculate equivalent resistance for resistors in series.
1cr · v2026-04-22
Fluid Mechanics
Bernoulli Equation Calculatorbernoulli-equation-calculator
Solve one Bernoulli streamline pressure, velocity, or height term.
1cr · v2026-04-22
Reynolds Number Calculatorreynolds-number-calculator
Reynolds number with laminar/transitional/turbulent classification using geometry-specific thresholds for pipes, plates, and channels.
1cr · v2026-04-22
Mechanics
Belt Length Calculatorbelt-length-calculator
Calculate open or crossed belt length, wrap angles, and optional belt speed.
1cr · v2026-04-22
Bolt Torque Calculatorbolt-torque-calculator
Recommended bolt tightening torque and preload for metric sizes and ISO grades, by the short-form K method and VDI 2230.
1cr · v2026-04-22
Gear Ratio Calculator (Mechanical)gear-ratio-calculator-mechanical
Calculate gear ratio, output RPM, torque, and mechanical advantage.
1cr · v2026-04-22
Physics
Angular Velocity Calculatorangular-velocity-calculator
Convert angular velocity between rad/s, RPM, Hz, deg/s, and period, or derive it from linear speed and radius with tangential and centripetal results.
1cr · v2026-04-22
Density Calculatordensity-calculator
Solve density, mass, or volume with common unit conversions.
1cr · v2026-04-22
Doppler Effect Calculatordoppler-effect-calculator
Observed frequency shift for moving sources and observers, classical for sound or relativistic for light.
1cr · v2026-04-22
Falling Through Earth Calculatorfalling-through-earth-calculator
Calculate idealized uniform-density gravity-train travel time and speed.
1cr · v2026-04-22
Force Calculatorforce-calculator
Solve Newton's second law for force, mass, or acceleration with common unit conversions.
1cr · v2026-04-22
Heat Transfer Calculatorheat-transfer-calculator
Calculate heat transfer by conduction, convection, or radiation.
1cr · v2026-04-22
Kinetic Energy Calculatorkinetic-energy-calculator
Solve kinetic energy, mass, or velocity with KE = 1/2 m v^2 and unit conversions.
1cr · v2026-04-22
Lens Equation Calculatorlens-equation-calculator
Thin-lens equation solver for image distance, focal length, or object distance with magnification and image properties.
1cr · v2026-04-22
Moment of Inertia Calculatormoment-of-inertia-calculator
Area moment of inertia (rectangle, circle, hollow circle, triangle) or mass moment of inertia (rod, cylinder, sphere, hollow cylinder), in SI units.
1cr · v2026-04-22
Momentum Calculatormomentum-calculator
Calculate linear momentum and kinetic energy from mass and velocity.
1cr · v2026-04-22
Pendulum Period Calculatorpendulum-period-calculator
Simple pendulum solver for period, length, gravity, or frequency with planet presets and a large-amplitude correction.
1cr · v2026-04-22
Potential Energy Calculatorpotential-energy-calculator
Calculate gravitational or elastic potential energy and solve for missing variables.
1cr · v2026-04-22
Projectile Motion Calculatorprojectile-motion-calculator
Projectile range, max height, flight time, and impact speed/angle from launch speed, angle, height, and gravity.
1cr · v2026-04-22
Snell's Law Calculatorsnell-s-law-calculator
Refraction angles, indices, critical angle, and Brewster angle from Snell's law with a built-in material library.
1cr · v2026-04-22
Specific Heat Capacity Calculatorspecific-heat-capacity-calculator
Solve Q = m*c*dT for heat, mass, specific heat, or final temperature with a substance library and mixed units.
1cr · v2026-04-22
Spring Constant Calculatorspring-constant-calculator
Hooke's law solver for force, spring constant, or displacement, plus elastic energy and oscillation period.
1cr · v2026-04-22
Stopping Distance Calculatorstopping-distance-calculator
Vehicle reaction + braking stopping distance by road condition (dry/wet/snow/ice), km/h or mph.
1cr · v2026-04-22
Terminal Velocity Calculatorterminal-velocity-calculator
Terminal velocity from mass, drag coefficient, area, and fluid density, with object presets and approach-time milestones.
1cr · v2026-04-22
Thermal Expansion Calculatorthermal-expansion-calculator
Calculate linear, area, or volume thermal expansion for common materials.
1cr · v2026-04-22
Torque Calculatortorque-calculator
Solve torque, force, lever arm distance, or angle using tau = F r sin(theta).
1cr · v2026-04-22
Velocity Calculatorvelocity-calculator
Calculate average velocity, distance, time, or relative velocity with distance, time, and speed units.
1cr · v2026-04-22
Work and Power Calculatorwork-and-power-calculator
Calculate mechanical work and power with common unit conversions.
1cr · v2026-04-22
Work Calculatorwork-calculator
Calculate mechanical work from force, distance, and angle.
1cr · v2026-04-22
Physics Calculators
Buoyancy Calculatorbuoyancy-calculator
Calculate buoyant force, object density, apparent weight, and float/sink verdict.
1cr · v2026-04-22
Coulomb's Law Calculatorcoulomb-s-law-calculator
Electrostatic force between two point charges via Coulomb's law, solving for force, charge, or distance with dielectric media.
1cr · v2026-04-22
de Broglie Wavelength Calculatorde-broglie-wavelength-calculator
Calculate a particle's de Broglie wavelength from velocity or kinetic energy.
1cr · v2026-04-22
E=mc² Calculatore-mc-calculator
Convert mass and energy using E=mc² with configurable conversion efficiency.
1cr · v2026-04-22
Electricity Calculatorelectricity-calculator
Solve voltage, current, resistance, and power from any two known Ohm's law values.
1cr · v2026-04-22
Escape Velocity Calculatorescape-velocity-calculator
Calculate escape velocity for preset or custom celestial bodies.
1cr · v2026-04-22
Gravitational Force Calculatorgravitational-force-calculator
Solve Newton's universal gravitation equation for force, mass, or distance.
1cr · v2026-04-22
Ideal Gas Law Calculatorideal-gas-law-calculator
Solve PV=nRT for pressure, volume, moles, or temperature with unit conversion.
1cr · v2026-04-22
Kepler's Third Law Calculatorkepler-s-third-law-calculator
Calculate orbital period and mean velocity from semi-major axis and central mass.
1cr · v2026-04-22
Photon Energy Calculatorphoton-energy-calculator
Convert photon wavelength, frequency, and energy using E=hf=hc/lambda.
1cr · v2026-04-22
Time Dilation Calculatortime-dilation-calculator
Relativistic time dilation, Lorentz factor, clock rate, and optional length contraction at any sub-light speed.
1cr · v2026-04-22
Pressure
Bar to PSI Converterbar-to-psi-converter
Convert bar and PSI, including kPa, MPa, atm, torr, inHg, and Pa.
1cr · v2026-04-22
psi to kPa Converterpsi-to-kpa-converter
Convert pounds per square inch to kilopascals and related pressure units.
1cr · v2026-04-22
Temperature
Celsius to Fahrenheit Calculatorcelsius-to-fahrenheit-calculator
Convert Celsius to Fahrenheit and related temperature scales.
1cr · v2026-04-22
Celsius to Kelvin Convertercelsius-to-kelvin-converter
Convert Celsius to Kelvin and related temperature scales.
1cr · v2026-04-22
Celsius to Rankine Convertercelsius-to-rankine-converter
Convert Celsius to Rankine and related temperature scales.
1cr · v2026-04-22
Fahrenheit to Celsius Calculatorfahrenheit-to-celsius-calculator
Convert Fahrenheit to Celsius and related temperature scales.
1cr · v2026-04-22
Fahrenheit to Kelvin Converterfahrenheit-to-kelvin-converter
Convert Fahrenheit to Kelvin and related temperature scales.
1cr · v2026-04-22
Fahrenheit to Rankine Converterfahrenheit-to-rankine-converter
Convert Fahrenheit to Rankine and related temperature scales.
1cr · v2026-04-22
Kelvin to Celsius Converterkelvin-to-celsius-converter
Convert Kelvin to Celsius and related temperature scales.
1cr · v2026-04-22
Kelvin to Fahrenheit Converterkelvin-to-fahrenheit-converter
Convert Kelvin to Fahrenheit and related temperature scales.
1cr · v2026-04-22
Rankine to Celsius Converterrankine-to-celsius-converter
Convert Rankine to Celsius and related temperature scales.
1cr · v2026-04-22
Rankine to Fahrenheit Converterrankine-to-fahrenheit-converter
Convert Rankine to Fahrenheit and related temperature scales.
1cr · v2026-04-22
Unit Converters
Energy Converterenergy-converter
Convert energy between joules, calories, BTU, watt-hours, electronvolts, ergs, and therms.
1cr · v2026-04-22
Power Converterpower-converter
Convert power among watts, kilowatts, horsepower, BTU per hour, refrigeration tons, and related units.
1cr · v2026-04-22
Ultimate Frequency & Wavelength Converterultimate-frequency-wavelength-converter
Convert between frequency and wavelength using a configurable propagation speed and identify the spectrum band.
1cr · v2026-04-22
Weather
Dew Point Calculatordew-point-calculator
Calculate dew point temperature from air temperature and relative humidity using the Magnus formula.
1cr · v2026-04-22
Heat Index Calculatorheat-index-calculator
Calculate the NWS heat index (apparent temperature) from air temperature and relative humidity.
1cr · v2026-04-22
Wind Chill Calculatorwind-chill-calculator
Calculate NWS wind chill and frostbite risk from air temperature and wind speed.
1cr · v2026-04-22