MasteringPhysics: Chapter 12-Google Chrome https//session.masteringphysics.com/m

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MasteringPhysics: Chapter 12-Google Chrome https//session.masteringphysics.com/myct/itemView?assignmentProblemiD-56100035 hys201-2016-Spring harter 12 Problem 12.81 « previous 14 of 15 Problem 12.81 Part A A merry-go-round is a common piece of play ground equipment. A 3.0-m-diameter merry-go-round with a mass of 300 kg is spinning at 15 rpm John runs tangent to the merry-go-round at 5.4 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 rpen after John jumps on? Express your answer to two significant figures and include the appropriate units. w.1 Value Units Submit My Answers Give up Contin

Explanation / Answer

diameter = 3 m

m = 300 kg

wi = 15 rpm   

apply anguler momentum conservation

Li = Lf

Li = Rm*V + I*wi

30 * 5.4 * 1.5 +1/2* 300 *1.5^2 * 15 *2pi /60 rad/s = ( 1/2* 300 *1.5^2 +30*1.5^2 ) *wf

wf = 1.909 rad/s

wf = 1.909 * 60/ (2*pi) = 18.229 RPM answer

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