Physics Calculators

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Physics constants and formula sheet →

Mechanics

Newton's Second Law

F = m × a

Acceleration

a = (v₁ − v₀) / t

Momentum

p = m × v

Projectile Motion

R = v₀² · sin(2θ) / g

Free Fall

t = √(2h/g), v = √(2gh)

Free Fall From Time

d = ½·g·t², v = g·t

Torque

τ = r × F × sin(θ)

Terminal Velocity

v = √(2mg / (ρ·A·Cd))

Tension

T = m × (g + a)

Atwood Machine

a = (m₁ − m₂)g / (m₁ + m₂), T = 2·m₁·m₂·g / (m₁ + m₂)

Incline Tension

T = m·g·(sin θ + μ·cos θ)

Two-Rope Tension

T = m·g / (2·sin θ)

Impact Force

F = m·v² / (2·d)

Horizontal Projectile

R = v·√(2h/g)

Hooke's Law

F = k × x

Mechanics calculators →

Energy

Kinetic Energy

KE = ½ × m × v²

Potential Energy

PE = m × g × h

Work

W = F × d × cos(θ)

Power

P = W / t

Watts to Joules

E = P × t

Energy calculators →

Electricity & Waves

Ohm's Law

I = V / R, P = V² / R

Wavelength

λ = v / f

Watts to Amps

I = P / V

Electricity & Waves calculators →

Thermodynamics

Specific Heat

Q = m × c × ΔT

Thermal Expansion

ΔL = α × L₀ × ΔT

Ideal Gas Law

P = n·R·T / V

Thermodynamics calculators →

Fluids

Pressure

P = F / A

Density

ρ = m / V

Fluids calculators →

Optics

Lens Equation

1/f = 1/dₒ + 1/dᵢ

Snell's Law

n₁ · sin(θ₁) = n₂ · sin(θ₂)

Optics calculators →

Everyday Life

Electricity Cost

Cost = (W / 1000) × hours × price per kWh

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