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 $\omega$ in angular motion with constant angular acceleration is $\omega=\omega_0+\alpha t$, where $\omega_0$ is the initial angular velocity, $\alpha$ is the angular acceleration, and $t$ is the time.

Step2: Substitute the given values

Given that the object starts from rest, so $\omega_0 = 0\ rad/s$, $\alpha=10\ rad/s^{2}$, and $t = 10\ s$. Substituting these into the formula: $\omega=0+(10)(10)$.

Answer:

$100\ rad/s$