Next:
Worked example 8.3: Moment
Up:
Rotational motion
Previous:
Worked example 8.1: Balancing
Worked example 8.2: Accelerating a wheel
Question:
The net work done in accelerating a wheel from rest to an angular speed of
is
. What is the moment of inertia of the wheel?
Answer:
The final angular speed of the wheel is
Assuming that all of the work
performed on the wheel goes to increase its rotational kinetic energy, we have
where
is the wheel's moment of inertia. It follows that
Richard Fitzpatrick 2006-02-02