When a ceiling fan rotating with an angular speed of 3.56 rad/s is turned off, a frictional torque of 0.105 n⋅m slows it to a stop in 31.3 s?

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Physics

Jorge Lara

1 November, 07:51

When a ceiling fan rotating with an angular speed of 3.56 rad/s is turned off, a frictional torque of 0.105 n⋅m slows it to a stop in 31.3 s?

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Khalil Turner · Answer 1

Angular Speed of Ceiling Fan, w = 3.56 rad/s Fictional Torque when turned off, T = 0.105 N. m The Time elapsed i. e., total time of fan rotating, t = 31.3 s We have an equation for the Moment of inertia i. e., J = (T x t) / w J = (0.105 x 31.3) / 3.56 = > J = 3.286 / 3.56 = 0.92 So Moment of inertia J = 0.923