### Circular Motion Problem**Question:**A child is sitting on the outer edge of a merry-go-round that is 18 meters in diameter. If the merry-go-round makes 5.4 revolutions per minute, what is the velocity of the child in meters per second (m/s)?**Answer Choices:**- ⬤ 3.6 m/s- ⬤ 10.2 m/s- ⬤ 0.8 m/s- ⬤ 5.1 m/s### ExplanationTo solve this problem, we need to determine the linear velocity (v) of the child sitting on the edge of the merry-go-round.1. **Calculate the Radius:** The diameter of the merry-go-round is given as 18 meters. The radius (r) is half of the diameter. \[ r = \frac{d}{2} = \frac{18 \text{ m}}{2} = 9 \text{ m} \]2. **Convert Revolutions per Minute to Revolutions per Second:** The merry-go-round makes 5.4 revolutions per minute. We need to convert this to revolutions per second (rps). \[ \text{Revolutions per second} = \frac{\text{Revolutions per minute}}{60} = \frac{5.4}{60} = 0.09 \text{ rps} \]3. **Calculate the Circumference:** The circumference (C) of a circle is given by: \[ C = 2 \pi r = 2 \cdot \pi \cdot 9 \text{ m} = 18 \pi \text{ m} \]4. **Determine the Linear Velocity:** The linear velocity (v) is calculated by multiplying the circumference by the number of revolutions per second (rps): \[ v = C \cdot \text{rps} = 18 \pi \text{ m} \cdot 0.09 \text{ rps} = 1.62 \pi \text{ m/s} \approx 5.1 \text{ m/s} \]**Correct Answer:**- ⬤ 5.1 m/s

Name: ### Circular Motion Problem**Question:**A child is sitting on the out
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Description: ### Circular Motion Problem**Question:**A child is sitting on the outer edge of a merry-go-round that is 18 meters in diameter. If the merry-go-round makes 5.4 revolutions per minute, what is the velocity of the child in meters per second (m/s)?**An

Determine the angular velocity.

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A child is sitting on the outer edge of a merry-go-round that is 18 m in diameter. If makes 5.4 rev/min, what is the velocity of the child in m/s? the merry-go-round 3.6 m/s 10.2 m/s 0.8 m/s 5.1 m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around...

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