A teenager pushes tangentially on a small hand-drivenmerry-go-round and is able to accelerate it from rest to afrequency of 20 rpm in 8.0s. Assume the

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-04-20

A teenager pushes tangentially on a small hand-drivenmerry-go-round and is able to accelerate it from rest to afrequency of 20 rpm in 8.0s. Assume the merry-go-round is auniform disk of radius 2.0m and has a mass of 600kg, and twochildren (each with a mass of 20kg) sit opposite each other on theedge.
A) Calculate the torque required to produce theacceleration, neglecting frictional torque.
B) What force is required at the edge?

Answer & Explanation

Laith Petty

Laith Petty

Skilled2021-04-22Added 103 answers

The initial angular frequency ω0=0
The Final angular frequency ωf=20r±
=20(2π60)rads
The time taken t = 8s
The radius of the merry-go-round R = 2m
Mass of merry-go-round M = 600kg
Mass of child m = 20kg
Therefore the angular acceleration α=ωt
The Torque required T=Isystemα
=(Imerry+Ichildren)α
=[(12)MmerryR2+2mchildR2]α
substitute the values and calculate the Torque.
b) The Force required at the edge is calculated from the torque
T=FperpendicarRadius
Or F=tR

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