Equations

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The Math & Science Equation API delivers a robust suite of RESTful endpoints tailored for scientific, engineering, and academic applications. Designed with developers in mind, this API offers a reliable and programmatic interface for solving a wide range of standardized equations across physics, mathematics, and other technical disciplines. With support for domains such as classical mechanics,…

100 endpoints
The in-depth APIMemo review for this API hasn't been published yet — the data below comes straight from the public marketplace listing.

Equations endpoints

MethodEndpointDescription
POST /physics/spherical-capacitor
/physics/spherical-capacitor 		Calculates the capacitance of a spherical capacitor with a dielectric. Note- Function uses k * ε₀ as a single input (`kEpsilon`).
POST /physics/intensity-level
/physics/intensity-level 		Calculates the intensity level (sound intensity level) relative to a reference intensity.
POST /physics/escape-speed
/physics/escape-speed 		Calculates the minimum speed needed to escape the gravitational pull of a mass from a given distance.
POST /physics/periodic-wave-velocity
/physics/periodic-wave-velocity 		Calculates the speed of a periodic wave based on its frequency and wavelength.
POST /physics/equivalent-dose
/physics/equivalent-dose 		Calculates the equivalent dose, accounting for the biological effectiveness of different types of radiation. Note- Uses `DValue` for absorbed dose.
POST /physics/internal-energy-change
/physics/internal-energy-change 		Calculates the change in internal energy for a monatomic ideal gas undergoing a temperature change.
POST /physics/plate-capacitor
/physics/plate-capacitor 		Calculates the capacitance of a parallel plate capacitor with a dielectric. Note- Function uses k * ε₀ as a single input (`kEpsilon`).
POST /physics/gravitational-potential
/physics/gravitational-potential 		Calculates the gravitational potential at a distance from a point mass.
POST /physics/gravitational-pe
/physics/gravitational-pe 		Calculates the gravitational potential energy of a system of two point masses.
POST /physics/effective-dose
/physics/effective-dose 		Calculates the effective dose, accounting for the sensitivity of different tissues/organs to radiation. Note- Uses `HValue` for equivalent dose.
POST /physics/centripetal-acceleration-angular
/physics/centripetal-acceleration-angular 		Calculates the centripetal acceleration vector component using angular velocity and radius. The negative sign indicates direction towards the center.
POST /physics/half-life
/physics/half-life 		Calculates the remaining quantity of a substance after a time based on its half-life. Note- Uses `tValue` for time and `Thalf` for half-life.
POST /physics/universal-gravitation
/physics/universal-gravitation 		Calculates the attractive gravitational force between two point masses. Note- returns a negative value indicating attraction.
POST /physics/parallel-wires
/physics/parallel-wires 		Calculates the magnitude of the force per unit length between two long, parallel conductors carrying currents.
POST /physics/solenoid
/physics/solenoid 		Calculates the magnitude of the magnetic field inside a long ideal solenoid.
POST /physics/doppler-effect
/physics/doppler-effect 		Calculates the velocity factor portion of the Doppler effect equation (f' = f * factor). Positive velocities for observer moving towards source, source moving towards observer.
POST /physics/field-and-potential
/physics/field-and-potential 		Calculates the magnitude of a uniform electric field based on the potential difference across a distance. Note- Function name "Field and Potential" is misleading; it calculates…
POST /physics/gravitational-field
/physics/gravitational-field 		Calculates the gravitational field strength at a distance from a point mass. Note- returns a negative value indicating direction towards the mass.
GET /info/find-equations/{subject}/{search_term}/{language_code}
/info/find-equations/{subject}/{search_term}/{language_code} 		Retrieves summary information on endpoints in the API that contain a specific term.
POST /physics/coulombs-law
/physics/coulombs-law 		Calculates the electric force between two point charges. Returns signed force (positive for repulsion, negative for attraction).
POST /physics/absorbed-dose
/physics/absorbed-dose 		Calculates the absorbed dose of radiation based on the energy absorbed by a mass. Note- Uses `EValue` for energy and `mValue` for mass.
POST /physics/cylindrical-capacitor
/physics/cylindrical-capacitor 		Calculates the capacitance of a cylindrical capacitor with a dielectric. Note- Function uses k * ε₀ as a single input (`kEpsilon`).
POST /physics/capacitance
/physics/capacitance 		Calculates capacitance based on the charge stored and the voltage across a capacitor.
POST /physics/electric-current
/physics/electric-current 		Calculates electric current based on the amount of charge passing through a point per unit time.
POST /physics/electric-potential
/physics/electric-potential 		Calculates the electric potential (voltage) based on the change in electric potential energy per unit charge. Note- Function name `calculateElectricPotential` is correct, but…
POST /physics/electric-field
/physics/electric-field 		Calculates the electric field strength based on the force exerted on a test charge.
POST /physics/mach-angle
/physics/mach-angle 		Calculates the angle of the Mach cone formed by an object moving faster than the speed of sound. Returns angle in radians.
POST /physics/intensity
/physics/intensity 		Calculates the intensity of a wave (power per unit area).
POST /physics/capacitive-pe
/physics/capacitive-pe 		Checks if the three common equations for potential energy stored in a capacitor are equivalent for the given Q, V, and C. Returns boolean. Note- Uses strict equality (===) which…
POST /physics/pressure-level
/physics/pressure-level 		Calculates the sound pressure level relative to a reference pressure change.
POST /physics/angular-impulse
/physics/angular-impulse 		Calculates angular impulse from torque and time interval.
POST /physics/ohms-law
/physics/ohms-law 		Calculates resistance based on voltage and current. Note- The function calculates Resistance R from V and I.
POST /physics/current-density
/physics/current-density 		Calculates electric current density (current per unit cross-sectional area).
GET /info/equation-summaries/{language_code}
/info/equation-summaries/{language_code} 		Retrieves summary information on all endpoints in the API.
POST /physics/electric-resistance
/physics/electric-resistance 		Calculates the resistance of a conductor based on its resistivity, length, and cross-sectional area. Note- Uses `rhoValue` for resistivity.
POST /physics/resistors-in-series
/physics/resistors-in-series 		Calculates the total equivalent resistance for multiple resistors connected in series.
POST /physics/capacitors-in-series
/physics/capacitors-in-series 		Calculates the total equivalent capacitance for multiple capacitors connected in series.
POST /physics/resistors-in-parallel
/physics/resistors-in-parallel 		Calculates the total equivalent resistance for multiple resistors connected in parallel.
POST /physics/moment-of-inertia
/physics/moment-of-inertia 		Calculates the moment of inertia for a single point mass relative to an axis.
POST /physics/charge-density
/physics/charge-density 		Calculates the average charge density (charge per unit volume).
POST /physics/biot-savart-law
/physics/biot-savart-law 		Calculates the magnitude of the magnetic field contribution from a differential current element perpendicular to the radius vector. Note- The function implements `(μ₀ * I * ds) /…
POST /physics/2nd-law-rotation
/physics/2nd-law-rotation 		Calculates torque based on moment of inertia and angular acceleration.
POST /physics/resistivity-conductivity
/physics/resistivity-conductivity 		Calculates conductivity (σ) from resistivity (ρ).
POST /physics/rotational-power
/physics/rotational-power 		Calculates instantaneous rotational power based on torque, angular velocity, and the angle between them.
POST /physics/rotation-omega2
/physics/rotation-omega2 		Calculates final angular velocity squared using rotational kinematic equation. Note- returns ω^2, not ω.
POST /physics/angular-momentum
/physics/angular-momentum 		Calculates angular momentum for a point mass moving relative to a point.
POST /physics/angular-velocity
/physics/angular-velocity 		Calculates angular velocity based on change in angle and time.
POST /physics/torque
/physics/torque 		Calculates torque based on radius, force, and the angle between them.
POST /physics/rotation-theta
/physics/rotation-theta 		Calculates final angular position using rotational kinematic equation.
POST /physics/electric-power
/physics/electric-power 		Checks if the three common equations for electric power are equivalent for the given V, I, and R. Returns boolean. Note- Uses strict equality (===) which may be sensitive to…
+ 50 more endpoints on the provider's documentation.

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