All rigid motion formulae
Physics
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7 stepsHere are the common formulae for rigid motion:
Linear Displacement (d)
The change in position of an object.
d = v₀t + (1/2)at²
d = vt - (1/2)at²
v² = v₀² + 2adLinear Velocity (v)
The rate of change of displacement.
v = v₀ + atLinear Acceleration (a)
The rate of change of velocity.
a = (v - v₀) / tAngular Displacement (θ)
The change in angular position of an object.
θ = ω₀t + (1/2)αt²
θ = ωt - (1/2)αt²
ω² = ω₀² + 2αθAngular Velocity (ω)
The rate of change of angular displacement.
ω = ω₀ + αtAngular Acceleration (α)
The rate of change of angular velocity.
α = (ω - ω₀) / tRelationship between Linear and Angular Motion
v = rω
a_t = rα (tangential acceleration)
a_c = v²/r = rω² (centripetal acceleration)Where:
- v₀ = initial linear velocity
- v = final linear velocity
- d = linear displacement
- a = linear acceleration
- t = time
- ω₀ = initial angular velocity
- ω = final angular velocity
- θ = angular displacement
- α = angular acceleration
- r = radius
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