The radius of a park merry-go-round is 2.2m. To start it rotating, you wrap a rope around it and pull with a force of 260N for 12s. During this time, the merry-go-round makes one complete rotation. a) Find the angular acceleration of the merry-go-round. b) What torque is exerted by the rope on the merry-go-round? c) What is the moment of inertia of the merry-go-round?(adsbygoogle = window.adsbygoogle || []).push({});

A)

The angular acceleration is alpha = Torque/I

I did conceder the merry-go-round as a solid cylinder so I =1/2(MR^2)

Torque = Fr

Acceleration = (260N * 2.2m)/(1/2(MR^2))

I don’t know how to get rid of the M?

B)

Torque = Fr = (260N * 2.2m) = 572 Nm

C) The moment of inertia of the merry-go-round is I =1/2(MR^2)

Can I get the M in the torque from F = ma (after I know the acceleration from a) )?

Thank you

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# Homework Help: Rotation homework question

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