At a playground you let your kid sister (30 kg) kneel on the surface (near the e

Question

At a playground you let your kid sister (30 kg) kneel on the surface (near the edge) of a 2.4 meter diameter merry-go-round. You push the merry-go-round so that it constantly accelerates from rest to a final speed of 1.1 rotations per second at the end of a 22 second interval. (please complete all questions using radians)
A. What is the final angular speed?
B. What is the constant angular acceleration (sign and magnitude)?
C. How many revolutions does the merry-go-round make during the 22 seconds interval?
D. After it comes up to speed, you stop pushing and the merry-go-round continues to run at a constant rate of 1.5 rotations per second. What is the magnitude of your sister's acceleration, if any?

Explanation / Answer

A. omega=1.1*2pi=6.91 B. acc=1.1*2pi/22=.314 C.s=.5*a*t^2 x*2pi=.5*.314*22^2 so x=12 rotation

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