A tire rotates at an angular velocity of 40 rad/s. What angular displacement will the tire undergo if it spins like this for 5 seconds? O 100 rad O 8 rad O200 rad O 120 rad

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Rotational Dynamics
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**Question:**

A tire rotates at an angular velocity of 40 rad/s. What angular displacement will the tire undergo if it spins like this for 5 seconds?

- [ ] 100 rad
- [ ] 8 rad
- [ ] 200 rad
- [ ] 120 rad

**Explanation:**

Angular displacement (\(\theta\)) can be calculated using the formula:
\[ \theta = \omega \cdot t \]
where \(\omega\) is the angular velocity and \(t\) is the time.

In this case:
- \(\omega = 40 \text{ rad/s}\)
- \(t = 5 \text{ s}\)

Therefore:
\[ \theta = 40 \text{ rad/s} \times 5 \text{ s} = 200 \text{ rad} \]

The correct answer is:
- [ ] 100 rad
- [ ] 8 rad
- [X] 200 rad
- [ ] 120 rad
Transcribed Image Text:**Question:** A tire rotates at an angular velocity of 40 rad/s. What angular displacement will the tire undergo if it spins like this for 5 seconds? - [ ] 100 rad - [ ] 8 rad - [ ] 200 rad - [ ] 120 rad **Explanation:** Angular displacement (\(\theta\)) can be calculated using the formula: \[ \theta = \omega \cdot t \] where \(\omega\) is the angular velocity and \(t\) is the time. In this case: - \(\omega = 40 \text{ rad/s}\) - \(t = 5 \text{ s}\) Therefore: \[ \theta = 40 \text{ rad/s} \times 5 \text{ s} = 200 \text{ rad} \] The correct answer is: - [ ] 100 rad - [ ] 8 rad - [X] 200 rad - [ ] 120 rad
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