A solid disk, spinning counter-clockwise, has a mass of #8 kg# and a radius of #5/2 m#. If a point on the edge of the disk is moving at #5/8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
Because a point on the outside of the disk moves along the circumference with
The angular velocity,
As a side note, you could obtain this immediately if you are familiar with the expression
The angular momentum of the disk is
For a uniform disk,
Done, but if you wanted to solve for the inertia on your own without looking it up, you would have to integrate.
Assume the disk has uniform density