Problema Solution

A 50 N.m torque acts on a wheel of moment of inertia 150 kg.m^2. If the wheel starts from rest,how long will it take the wheel to make one revolution?

Answer provided by our tutors

Torque = Moment of Inertia * angular acceleration

angular acceleration = 1/3 rad/s²

Angular displacement (rad) = 1/2(alpha)t²

angular displacement is one revolution or 2(pi)

t = sqrt(2(pi)/alpha))

t = 6.14 s