Question

A wheel of moment of inertia 0.10 kg-m² is rotating about a shaft at an angular speed of 160 rev/minute. A second wheel is set into rotation at 300 rev/minute and is coupled to the same shaft so that both the wheels finally rotate with a common angular speed of 200 rev/minute. Find the moment of inertia of the second wheel.

Answer 1

Given that after they are coupled, ω = 200 rev/min
Therefore if we take the two wheels to bean isolated system
Total external torque = 0