Question

The flywheel of an engine has a mass of 200 kg and radius of gyration equal to 1 m. The average torque on the flywheel is 1200 Nm. Find the angular acceleration of flywheel and the angular speed after 10 seconds starting from rest.

(a) 3 rad/s

(b) 4 rad/s

(c) 5 rad/s

(d) 6 rad/s

This question was addressed to me in an international level competition.

My doubt is from Wilson-Hartnell and Pickering Governor in chapter Governors of Machine Dynamics

Answer 1

Correct choice is (d) 6 rad/s

The best explanation: I = mk^2 = 2000 kgm^2

T = Iα

α = T/I = 1200/2000 = 0.6 rad/s^2

ω = ω0 + αt = 0 + 0.6 x 10 = 6 rad/s.