College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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need assistance with solving letter C
![**Questions:**
a) Which of these **cannot** tell you the angular velocity of a wheel (by itself)?
- A) "The wheel spins around ten times."
- B) "The wheel takes 4 seconds to turn around once."
- C) "The wheel turns around 8 times in a minute."
b) If a wheel spins around 5 times, the angular displacement \( \Delta \theta \) is
- A) 0.80 rad
- B) 1.6 rad
- C) 5 rad
- D) 16 rad
- E) 31 rad
c) If a wheel has \( \omega = -3 \, \text{rad/s} \) and \( \alpha = +2 \, \text{rad/s}^2 \), then what is the wheel doing?
- A) ![Circle with 'speeding up' inside and arrow pointing right]
- B) ![Circle with 'speeding up' inside and arrow pointing left]
- C) ![Circle with 'slowing down' inside and arrow pointing right]
- D) ![Circle with 'slowing down' inside and arrow pointing left]
d) A turntable has a radius of 0.8 m and is spinning at 5 rad/s. How fast is a dot moving on the edge of the turntable?
- A) 0.8 m/s
- B) 4 m/s
- C) 5 m/s
- D) 6.25 m/s
- On the same turntable, in what direction is the dot moving?
- D) ![Arrow pointing left]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9150cb0-c0bc-425f-af9e-d612c3f65210%2Ffb250cca-5987-4531-b8a3-4d172fcbce08%2F1u5xxq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Questions:**
a) Which of these **cannot** tell you the angular velocity of a wheel (by itself)?
- A) "The wheel spins around ten times."
- B) "The wheel takes 4 seconds to turn around once."
- C) "The wheel turns around 8 times in a minute."
b) If a wheel spins around 5 times, the angular displacement \( \Delta \theta \) is
- A) 0.80 rad
- B) 1.6 rad
- C) 5 rad
- D) 16 rad
- E) 31 rad
c) If a wheel has \( \omega = -3 \, \text{rad/s} \) and \( \alpha = +2 \, \text{rad/s}^2 \), then what is the wheel doing?
- A) ![Circle with 'speeding up' inside and arrow pointing right]
- B) ![Circle with 'speeding up' inside and arrow pointing left]
- C) ![Circle with 'slowing down' inside and arrow pointing right]
- D) ![Circle with 'slowing down' inside and arrow pointing left]
d) A turntable has a radius of 0.8 m and is spinning at 5 rad/s. How fast is a dot moving on the edge of the turntable?
- A) 0.8 m/s
- B) 4 m/s
- C) 5 m/s
- D) 6.25 m/s
- On the same turntable, in what direction is the dot moving?
- D) ![Arrow pointing left]
Expert Solution

Step 1
Given data:
The angular velocity is:
The angular acceleration is:
To find:
The correct pictorial depiction of the motion.
In angular mechanics, a rotation in the counterclockwise direction is considered to be a positive rotation. A rotation in the clockwise direction is considered to be a negative rotation.
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