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

Question

A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15rpm in 11.0s. Assume the merry-go-round is a uniform disk of radius 2 5 m and has a mass of 560 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Calculate the torque required to produce the accelerator neglecting frictional torque. Express your answer to two significant figures and include the appropriate units. What force is required at the edge? Express your answer to two significant figures and include the appropriate units. Assume that a 1.20 kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, the figure The ball is accelerated uniformly from rest to 8.0m/s in 0.30s, at which point it is released. Assume that the forearm has a mass of 3.7 kg and rotates like a uniform rod about an axis at its end. Calculate the angular acceleration of the arm. Express your answer to two significant figures and include Calculate the force required of the triceps muscle. Express your answer to two significant figures and

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A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 16rpm in 10.0s . Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 560 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge.

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

B.What force is required at the edge?

Answer

a) w = w0 + alpha t

alpha = 16*2*pi/60/10=0.168 rad/s^2

torque = I alpha = (1/2 mr^2 + 2 mchild r^2) alpha = (0.5*560*2.5^2 + 2*25*2.5^2)*0.168=346.5 Nm

B) torque = r F

F = torque/r = 346.5/2.5= 138.6 N

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