A merry-go-round is a common piece of playground

Chapter 12, Problem 81P

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QUESTION:

Problem 81P

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. John runs tangent to the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John’s mass is 30 kg. What is the merry-go-round’s angular velocity, in rpm, after John jumps on?

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QUESTION:

Problem 81P

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round with a mass of 250 kg is spinning at 20 rpm. John runs tangent to the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John’s mass is 30 kg. What is the merry-go-round’s angular velocity, in rpm, after John jumps on?

ANSWER:

Step 1 of 5

 

In this question, we need to find velocity of merry go round in rpm after John jumps on after running tangentially to merry-go-round

Data given

Diameter of merry-go-round

        Radius

Mass of merry-go-round

Initial angular velocity of merry go round

                        

                        

                        

Tangential velocity of John

Mass of John

 

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