Angular Acceleration Calculator

Find angular acceleration from the change in angular velocity over time.

Initial angular velocity (rad/s)

Final angular velocity (rad/s)

Time

Angular acceleration (rad/s²) 2

Formula: α = (ω₂ − ω₁) ÷ t

Step-by-step with your numbers:

1. Values used:

2. Initial angular velocity = 2 rad/s

3. Final angular velocity = 10 rad/s

4. Time = 4

6. Angular acceleration = 2rad/s²

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Angular acceleration is how quickly an object's spin rate changes.

The math behind it

α = Δω ÷ Δt, the rotational analog of linear acceleration.

From 2 to 10 rad/s in 4 s → 2 rad/s².

How does it relate to torque?

Torque = moment of inertia × angular acceleration (τ = Iα).