The angular velocity of a stone being rotated is 11 rad/s. What is the angular displacement covered in 5 s?

1. Break Down the Problem

To find the angular displacement $\theta$, we need to use the formula:
$\theta = \omega \times t$
where:

• $\theta$ is the angular displacement in radians
• $\omega$ is the angular velocity in radians per second
• $t$ is the time in seconds

2. Relevant Concepts

We have the following information:

• $\omega = 11 \, \text{rad/s}$
• $t = 5 \, \text{s}$

3. Analysis and Detail

Now we will substitute the known values into the formula:
$\theta = 11 \, \text{rad/s} \times 5 \, \text{s}$

4. Verify and Summarize

Calculating:
$\theta = 55 \, \text{rad}$
Thus, the angular displacement covered in 5 seconds is 55 radians.

Final Answer

The angular displacement covered in 5 seconds is $55 \, \text{radians}$.