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A merry-go-round accelerates from rest to 0.68 rad/s in 24 s. Assuming the merry-go-round is a uniform disk of radius...

A merry-go-round accelerates from rest to 0.68 rad/s in 24 s.
Assuming the merry-go-round is a uniform disk of radius 7 m and mass 31000 kg, calculate the net torque required to accelerate it.

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Answer #1

As we nw that


Torque = I*alpha


= (0.5*m*r^2)*(w/t)


= 0.5*31000*7^2*(0.68/24)


= 21519.1667 N.m


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Answer #2

Step Moment of Inertia of disc = MR^2 /2 = (1/2) x31000x7x7

Step2 Angular acceleration = ? -?o/t = .68/24

Step3 Torque = Moment of Inertia x Angular acceleration

Step4 =(1/2) x31000x7x7x (.68/24) N-m

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