Question

A torque of 10Nm is applied to a flywheel of mass 1kg and radius of gyration 50cm. What is the resulting angular acceleration?

(a) 4 rad/s^2

(b) 2 rad/s^2

(c) 5 rad/s^2

(d) 6 rad/s^2

Answer 1

Correct option is (a) 4 rad/s^2

For explanation: τ=10Nm, M = 10kg, K = 0.50m

As τ=I×α = MK^2 α

α=τ/(MK^2 )=10/(10×0.50^2)=4 rad/s^2.