Physics Calculators

Classical mechanics, electricity and heat transfer — solve for any variable with automatic unit conversion.

Physics laws covered

Transport laws share one form

Fick's law (mass), Fourier's law (heat), Ohm's law (charge) and Darcy's law (fluid flow) all have the same structure: flux = −conductivity × gradient. Once you understand one, you understand them all. That is why this site places diffusion alongside the wider laws of physics and chemistry.

Physics laws at a glance

The key equations behind every physics calculator.

Open the laws library
Physics

Ohm's Law

The current through a conductor is directly proportional to the voltage across it, with resistance as the constant of proportionality. (Georg Simon Ohm, 1827)

Open the Ohm's Law calculator →
V = I · R    P = V · I
Physics

Newton's Second Law of Motion

The net force on a body equals its mass times its acceleration; equivalently, force equals the rate of change of momentum. (Isaac Newton, 1687)

Open the Newton's Second Law calculator →
F = m · a = dpdt
Physics

Kinetic Energy

The energy of motion of a body equals one half its mass times the square of its speed.

Open the Kinetic Energy calculator →
KE = 12 m v²
Physics

Gravitational Potential Energy

Near a planet's surface, the potential energy gained by raising a mass equals its weight times the height raised.

Open the Gravitational Potential Energy calculator →
PE = m · g · h
Physics

Hooke's Law

The force needed to stretch or compress a spring is proportional to the displacement from its natural length. (Robert Hooke, 1678)

Open the Hooke's Law calculator →
F = k · x    U = 12kx²
Physics

Coulomb's Law

The electrostatic force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. (Charles-Augustin de Coulomb, 1785)

Open the Coulomb's Law calculator →
F = ke q1 q2r²
Physics

Newton's Law of Universal Gravitation

Every mass attracts every other mass with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centres. (Isaac Newton, 1687)

Open the Newton's Law of Universal Gravitation calculator →
F = G m1 m2r²
Physics

Fourier's Law of Heat Conduction

The rate of heat flow through a material is proportional to the negative temperature gradient and to the area through which heat flows. (Joseph Fourier, 1822)

Open the Fourier's Law of Heat Conduction calculator →
q = −k dTdx  ⇒  Q̇ = k A ΔTL
Physics

Density

Density is mass per unit volume, an intrinsic property of a material at a given temperature and pressure.

Open the Density calculator →
ρ = mV
Physics

Pressure

Pressure is the force acting perpendicular to a surface divided by the area over which it acts.

Open the Pressure calculator →
P = FA