Question

Calculate the net torque needed to accelerate this merry go round

A merry-go-round accelerates from rest to 0.78rad/s in 32 s. Assuming the merry-go-round is a uniform disk of radius 8.0m and mass 3.20 Times 104kg , calculate the net torque required to accelerate it. Express your answer to two significant figures and include the appropriate units.

Answer 1

Answer 2

the angular acceleration of merry-go-round is

A = (w - w_o/t)

where w = 0.78 rad/s,w_o = 0 and t = 32 s

the torque needed to accelerate it is

T = I x A

where I = (1/2)mr^2,m = 3.20 x 10^4 kg and r = 8.0 m