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.
Given:
For wheel 1
Angular speed (ω1) =160 rev/min
Moment of inertia (I1) = 0.10 kg-m2
For wheel 2
New angular speed (ω2) =200 rev/min
Moment of inertia (I2) =?
When they are coupled ω =200 rev/min
Therefore, we can take two wheels as an isolated system
Total external torque will be zero
kg-m2