6. (5pts) if an object has a constant angular acceleration of 10 rad/s², what angular speed does it reach…

6. (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?

6. (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?

Answer

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)