angular acceleration

Question

A wheel starting from rest attains an angular velocity of 20 rad/s in 4 seconds. What is the angular acceleration?

RankGuru · Accepted Answer

1. **Definition**: Angular acceleration ($\alpha$) is the rate of change of angular velocity.
2. **Formula**: $\alpha = \frac{\omega_f - \omega_i}{t}$.
3. **Identify Data**:
   - Initial velocity $\omega_i = 0$.
   - Final velocity $\omega_f = 20$ rad/s.
   - Time $t = 4$ s.
4. **Calculation**: $\alpha = 20 / 4 = 5$ rad/s$^2$.
5. **Result**: The wheel accelerates at **5 rad/s$^2$**.

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More angular acceleration Practice Questions

Tangential acceleration a_t relates to angular acceleration α by: