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A teenager pushes tangentially on a small hand-driven
Chapter 2, Problem 36P(choose chapter or problem)
Problem 36P
A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 760 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Calculate the torque required to produce the acceleration, neglecting frictional torque. What force is required at the edge?
Questions & Answers
QUESTION:
Problem 36P
A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 760 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Calculate the torque required to produce the acceleration, neglecting frictional torque. What force is required at the edge?
ANSWER:
Step 1 of 2
The torque needed is the moment of inertia of the system (merry-go-round and children) times the angular acceleration of the system. Let the subscript represent the merry-go-round.
Change in angular frequency is
The torque is calculated by
Substitute ,
,
,