Question

1. (5pts) if an object has a constant angular acceleration of 10 rad/s², what angular speed does it reach after 10 s if it starts from rest?

Explanation:

Step1: Recall the angular - motion formula

The formula for angular velocity in angular - motion with constant angular acceleration is \(\omega=\omega_0+\alpha t\).

Step2: Substitute the given values

Given that \(\omega_0 = 0\) (starts from rest), \(\alpha=10\space rad/s^{2}\), and \(t = 10\space s\).
Substitute into the formula: \(\omega=0+(10\space rad/s^{2})\times(10\space s)\)

Answer:

\(100\space rad/s\)