A playground merry-go-round has a radius of 4.40 m and a moment of inertia of 25
ID: 2264274 • Letter: A
Question
A playground merry-go-round has a radius of 4.40m and a moment of inertia of 250kg?m2 and turns with negligible friction about a vertical axle through its center. Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part A A child applies a 25.0N force tangentially to the edge of the merry-go-round for 22.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 22.0s interval? Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?
Part B How much work did the child do on the merry-go-round? Part C What is the average power supplied by the child?
Part C What is the average power supplied by the child?
Explanation / Answer
We know that
Torque T = I alpha
where alpha is angular acceleration
Torque T = F*r
F*r = I alpha = I (wf