PhysRefPhysics reference
Category
Mechanics

Rotational Kinematic 1

Rotational analog of v = v₀ + at. Relates angular velocity to time under constant angular acceleration.

Variables

ω
Final angular velocity
Angular velocity at time t
rad/s
ω₀
Initial angular velocity
Angular velocity at t=0
rad/s
α
Angular acceleration
Constant angular acceleration
rad/s²
t
Time
Elapsed time
s

Derivation

From α = (ω - ω₀)/t, solving for ω gives ω = ω₀ + αt.

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