Mechanics

Angular Acceleration

α=ΔωΔt\alpha = \frac{\Delta\omega}{\Delta t}

Rate of change of angular velocity.

Variables

α
Angular acceleration
Rate of change of ω
rad/s²
Δω
Change in angular velocity
Final - initial ω
rad/s
Δt
Time interval
Elapsed time
s

Derivation

Angular analog of acceleration: α = dω/dt.

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Common questions

What is the Angular Acceleration formula?

Angular Acceleration is written α= Δω/Δt. Rate of change of angular velocity. It belongs to Mechanics, under Rotational Motion.

What are the units in α= Δω/Δt?

In SI units, α is angular acceleration, measured in rad/s²; Δω is change in angular velocity, measured in rad/s; Δt is time interval, measured in s.

How is the Angular Acceleration formula derived?

Angular analog of acceleration: α = dω/dt. The result is α= Δω/Δt.