Question

In: Physics

A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from...

A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 18 rpm in 12.5 s . Assume the merry-go-round is a uniform disk of radius 2.6 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.

part A Calculate the torque required to produce the acceleration, neglecting frictional torque.

part B What force is required at the edge?

Solutions

Expert Solution

Given,

mass of the merry-go-round

mass of the child

radius of the merry-go-round

Initiall the system is at rest. . It acquires a frequency of 18rpm in . The angular velocity of the system is

  .

Therefore, the angular acceleration is given by,

  .

The total moment of inertia of the system is the summ of moment of inertia of the merr-go-round and moment of inertia of the two children.

Thus,

  

So,   

(a) The torque applied to produce the given acceleration is,.

  .

(b) The required at the edge is given by,

genius_generous answered 2 years ago
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