1) A teenager pushes tangentially on a small hand-driven merry-go-round and is a

Question

1) A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 14.2 rpm in 11.8 s. Assume the merry-go-round is a uniform disk of radius 2.44 m and has a mass of 740 kg, and two children (each with a mass of 23.8 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? 2) http://imgur.com/gpY18Cc The wheel shown above has a moment of inertia of 0.27 kg

Explanation / Answer

1) alfa = (14.2*2*pi/60)/11.8 = 0.126 rad/s62

I = 0.5*M*R^2 + 2*m*R^2 = 2486 kg.m^2

Torque = I*alfa = 313 N

2) Torque = 0.24*18 + 0.12*35*sin(45) - 0.24*28 = 0.57 N.m

Torque = I*alfa = I*w/t

==> t = I*w/Torque = 402 s

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