11 # Physics Problem 12.81: Angular Velocity of a Merry-Go-Round## Problem Description:A merry-go-round is a common piece of playground equipment. A 3.0-meter-diameter merry-go-round, which can be modeled as a disk with a mass of 250 kg, is spinning at 25 revolutions per minute (rpm). John runs tangent to the merry-go-round at 4.6 meters per second (m/s), in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg.### Part A:**Question:** What is the merry-go-round's angular velocity, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures.**Answer Attempt:** Typed in: 23 rpm**Feedback:** ❌ Incorrect; Try Again, 5 attempts remaining### Explanation:You need to calculate the new angular velocity of the system after John jumps onto the merry-go-round. This involves applying the principle of conservation of angular momentum. The initial angular momentum of the system (merry-go-round + John) will equal the angular momentum after John jumps on.#### Given Data:- Diameter of the merry-go-round: 3.0 m- Mass of the merry-go-round: 250 kg- Initial angular velocity of the merry-go-round: 25 rpm- Velocity of John: 4.6 m/s- Mass of John: 30 kg#### Required:Calculate the new angular velocity in rpm.**Considerations for Calculation:**1. Determine the initial angular momentum of the merry-go-round.2. Calculate the angular momentum contributed by John as he jumps onto the merry-go-round.3. Apply the conservation of angular momentum to find the new angular velocity.Use these considerations to arrive at a correct answer and try submitting again.

Answered: Image /qna-images/answer/11e8fa76-d8ad-45ab-bbe5-c4aae6aa4851.jpg

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 250 kg, is spinning at 25 rpm. John runs tangent to the merry-go-round at 4.6 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. Part A What is the merry-go-round's angular velocity, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures. VE ΑΣΦ 1 W= 23 Submit In ? rpm

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 250 kg, is spinning at 25 rpm. John runs tangent to the merry-go-round at 4.6 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. Part A What is the merry-go-round's angular velocity, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures. VE ΑΣΦ 1 W= 23 Submit In ? rpm

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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