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
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
Section: Chapter Questions
Problem 3WUE
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bc418ab-5051-450d-ba5a-1e906e0fb9c9%2F9038c921-663f-40db-8466-8c6e4b32b11a%2Fnhu5be_processed.jpeg&w=3840&q=75)
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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