c) If a wheel has @ = - 3rad/s and a = + 2rad/s², then what is the wheel doi A) B) D) speeding up speeding up slowing down sloa dc

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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]
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: ω=-3 rad/s
The angular acceleration is: α=+2 rad/s2

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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