Mechanics
Torque Calculator
Torque from force and lever arm (τ = F·r), solving for any variable, in N·m and lb·ft.
τ = F × r × sin θ (θ = 90° for maximum to…
Also called torque formula · moment of force
Science · 10 calculators
Mechanics Calculators
Torque, momentum, impulse, mechanical advantage, efficiency, friction, centripetal force and rotational motion.
Mechanics
Momentum Calculator
Linear momentum p = mv — solve for momentum, mass or velocity, with the impulse needed to stop it.
p = m × v
Also called p = mv · linear momentum
Mechanics
Impulse Calculator
Impulse (J = FΔt) and the change in momentum it produces, or the force needed for an impulse.
J = F × Δt = m × Δv
Also called impulse momentum theorem · impulse formula
Mechanics
Mechanical Advantage Calculator
Mechanical advantage of levers, pulleys, ramps and gears — ideal and actual, with efficiency.
MA = load ÷ effort = effort arm ÷ load arm
Also called ma calculator · lever advantage
Mechanics
Efficiency Calculator
Efficiency as output ÷ input × 100 — for machines, energy conversion, processes or work.
Efficiency = Useful output ÷ Total input …
Also called efficiency formula · machine efficiency
Mechanics
Friction Calculator
Friction force from the normal force and coefficient of friction, on the flat or on a slope.
f = μ × N, N = mg·cos θ
Also called friction force · coefficient of friction
Mechanics
Centripetal Force Calculator
Centripetal force and acceleration for circular motion from mass, speed and radius.
F = mv² / r
Also called circular motion force · centrifugal force calculator
Mechanics
Moment of Inertia Calculator
Moment of inertia for common shapes — rod, disc, sphere, hoop and rectangular plate.
I = k·m·r² (k depends on the shape)
Also called rotational inertia · second moment of mass
Mechanics
Angular Velocity Calculator
Angular velocity from angle and time, or from RPM — with the linear speed at a radius.
ω = θ / t
Also called omega calculator · rad/s from rpm
Mechanics
Angular Acceleration Calculator
Angular acceleration from the change in angular velocity over time (α = Δω/t).
α = Δω / t
Also called alpha calculator · rotational acceleration
Key mechanics formulas
| Torque | τ = F × r × sin θ (θ = 90° for maximum torque) |
|---|---|
| Momentum | p = m × v |
| Impulse | J = F × Δt = m × Δv |
| Mechanical Advantage | MA = load ÷ effort = effort arm ÷ load arm |
| Efficiency | Efficiency = Useful output ÷ Total input × 100 |
| Friction | f = μ × N, N = mg·cos θ |
| Centripetal Force | F = mv² / r · a = v² / r |
| Moment of Inertia | I = k·m·r² (k depends on the shape) |
| Angular Velocity | ω = θ / t · ω = 2π × RPM / 60 |
| Angular Acceleration | α = Δω / t · τ = Iα |