angular kinematics

Question

A wheel starts from rest with constant angular acceleration 4 rad/s². Angular velocity after 5 s?

RankGuru · Accepted Answer

1. **Angular Kinematic Equation**: For constant angular acceleration ($\alpha$), the final angular velocity is $\omega = \omega_0 + \alpha t$.
2. **Given Data**:
   - Initial angular velocity $\omega_0 = 0$ (starts from rest).
   - Angular acceleration $\alpha = 4 	ext{ rad/s}^2$.
   - Time $t = 5 	ext{ s}$.
3. **Calculation**:
   - $\omega = 0 + (4 	imes 5) $
   - $\omega = 20 	ext{ rad/s}$.
4. **Conclusion**: The angular velocity after 5 seconds is **$20$ rad/s**.

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angular kinematics

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