Math & Science Equation API

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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,…

24 subscribers
100 endpoints
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Math & Science Equation API endpoints

MethodEndpointDescription
API Information
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.
Physics - Circular Motion
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/centripetal-acceleration
/physics/centripetal-acceleration 		Calculates the acceleration directed towards the center of a circular path using linear velocity and radius.
Physics - Electromagnetism
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/electric-field
/physics/electric-field 		Calculates the electric field strength based on the force exerted on a test charge.
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/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/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/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/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).
POST /physics/charge-density
/physics/charge-density 		Calculates the average charge density (charge per unit volume).
POST /physics/solenoid
/physics/solenoid 		Calculates the magnitude of the magnetic field inside a long ideal solenoid.
POST /physics/resistivity-conductivity
/physics/resistivity-conductivity 		Calculates conductivity (σ) from resistivity (ρ).
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/magnetic-force-current
/physics/magnetic-force-current 		Calculates the magnitude of the magnetic force exerted on a straight conductor carrying current in a magnetic field. Angle should be in radians.
POST /physics/capacitors-in-parallel
/physics/capacitors-in-parallel 		Calculates the total equivalent capacitance for multiple capacitors connected in parallel.
POST /physics/resistors-in-series
/physics/resistors-in-series 		Calculates the total equivalent resistance for multiple resistors 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/capacitive-reactance
/physics/capacitive-reactance 		Calculates the opposition of a capacitor to alternating current.
POST /physics/magnetic-force-charge
/physics/magnetic-force-charge 		Calculates the magnitude of the magnetic force exerted on a moving charged particle. Angle should be in radians.
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…
POST /physics/induced-emf
/physics/induced-emf 		Calculates the emf induced by a changing magnetic flux according to Faraday's Law of Induction.
POST /physics/magnetic-flux
/physics/magnetic-flux 		Calculates the magnetic flux through a flat surface in a uniform magnetic field. Angle should be between the magnetic field vector and the area vector, in radians.
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/inductive-reactance
/physics/inductive-reactance 		Calculates the opposition of an inductor to alternating current.
POST /physics/electric-flux
/physics/electric-flux 		Calculates the electric flux through a flat surface in a uniform electric field. Angle should be between the electric field vector and the area vector, in radians.
POST /physics/capacitors-in-series
/physics/capacitors-in-series 		Calculates the total equivalent capacitance for multiple capacitors connected in series.
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/straight-wire
/physics/straight-wire 		Calculates the magnitude of the magnetic field at a distance from a long, straight conductor carrying current.
POST /physics/motional-emf
/physics/motional-emf 		Calculates the magnitude of the emf induced in a conductor moving perpendicular to a magnetic field. Note- The function calculates the magnitude Blv, omitting the negative sign…
POST /physics/inductance-induced-emf
/physics/inductance-induced-emf 		Calculates the self-induced emf in an inductor due to a changing current. Note- The function is named `calculateInductance` but returns emf using this equation. Documenting what…
POST /physics/impedance
/physics/impedance 		Calculates the total opposition to current flow in an AC circuit containing resistance, inductive reactance, and capacitive reactance.
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/capacitance
/physics/capacitance 		Calculates capacitance based on the charge stored and the voltage across a capacitor.
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/electric-current
/physics/electric-current 		Calculates electric current based on the amount of charge passing through a point per unit time.
Physics - Fluids and Thermodynamics
POST /physics/bernoulli-equation
/physics/bernoulli-equation 		Validates if Bernoulli's equation holds true for the given fluid properties and conditions at two points. Returns boolean. Note- Uses strict equality (===) which may be sensitive…
POST /physics/froude-number
/physics/froude-number 		Calculates the Froude number, a dimensionless quantity used to indicate the influence of gravity on fluid motion.
POST /physics/drag
/physics/drag 		Calculates the drag force on an object moving through a fluid.
POST /physics/mass-flow-rate
/physics/mass-flow-rate 		Calculates the rate at which mass passes a point per unit time.
POST /physics/volume-flow-rate
/physics/volume-flow-rate 		Calculates the rate at which volume passes a point per unit time.
POST /physics/pressure-in-fluid
/physics/pressure-in-fluid 		Calculates the absolute pressure at a certain depth in a fluid.
POST /physics/surface-tension
/physics/surface-tension 		Calculates the surface tension of a liquid based on force and length.
POST /physics/density
/physics/density 		Calculates density based on mass and volume.
POST /physics/pressure
/physics/pressure 		Calculates pressure based on force applied over an area.
POST /physics/buoyancy
/physics/buoyancy 		Calculates the buoyant force exerted by a fluid on a submerged or partially submerged object (Archimedes' principle).
Physics - Gravitation
POST /physics/universal-gravitation
/physics/universal-gravitation 		Calculates the attractive gravitational force between two point masses. Note- returns a negative value indicating attraction.
Physics - Thermal Physics / Thermodynamics
POST /physics/thermal-conduction
/physics/thermal-conduction 		Calculates the rate of heat transfer by conduction through a material. Note- The function calculates Q, assuming a time interval is implied by the equation's usual use for rate.…
POST /physics/wien-law-f-max
/physics/wien-law-f-max 		Calculates the frequency at which the emission spectrum of a black body is maximum. Note- This version uses a modified Wien's constant b'.
+ 50 more endpoints on the provider's documentation.

Math & Science Equation API pricing

PlanPriceRate limitQuotas
BASIC Free —
  • Requests: 1,000 / monthly
PRO Recommended $5 / month 1000 / second
  • Requests: 250,000 / monthly (then $0.0003 each)
ULTRA $9.95 / month 10000 / second
  • Requests: 831,666 / monthly (then $0.0003 each)

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