A wheel of radius 75cm is rotating with a frequency of 3.0Hz about a fixed axis of rotation. What is the speed of a piece of chewing gum stuck to the rim? A) 2.3 m/s B) 0.25 m/s C) 7.2 m/s D) 11 m/s E) 14 m/s

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Chapter1: Units, Trigonometry. And Vectors
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**Question 18:** A wheel of radius 75 cm is rotating with a frequency of 3.0 Hz about a fixed axis of rotation. What is the speed of a piece of chewing gum stuck to the rim?

**Options:**

A) 2.3 m/s  
B) 0.25 m/s  
C) 7.2 m/s  
D) 11 m/s  
E) 14 m/s  

**Explanation:**  
To find the speed of the piece of chewing gum stuck to the rim, we can use the formula for linear speed \( v = 2 \pi r f \), where \( r \) is the radius (0.75 m) and \( f \) is the frequency (3.0 Hz).

Thus, the speed \( v = 2 \pi \times 0.75 \, \text{m} \times 3.0 \, \text{Hz} = 14.137 \, \text{m/s} \).

The closest answer is E) 14 m/s.
Transcribed Image Text:**Question 18:** A wheel of radius 75 cm is rotating with a frequency of 3.0 Hz about a fixed axis of rotation. What is the speed of a piece of chewing gum stuck to the rim? **Options:** A) 2.3 m/s B) 0.25 m/s C) 7.2 m/s D) 11 m/s E) 14 m/s **Explanation:** To find the speed of the piece of chewing gum stuck to the rim, we can use the formula for linear speed \( v = 2 \pi r f \), where \( r \) is the radius (0.75 m) and \( f \) is the frequency (3.0 Hz). Thus, the speed \( v = 2 \pi \times 0.75 \, \text{m} \times 3.0 \, \text{Hz} = 14.137 \, \text{m/s} \). The closest answer is E) 14 m/s.
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