A solid disk, spinning counter-clockwise, has a mass of #4 kg# and a radius of #3 m#. If a point on the edge of the disk is moving at #8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
#omega=8/3 1/s# #L=96pi (kg*m^2)/s#
For this equation, we need to find two things: 1. the angular velocity of the disk and 2. the angular momentum of the disk
If we substitute our linear velocity of
We now have the answer to part 1.
Part 2. is asking about angular momentum. One equation used to calculate this is
The moment of inertia is an objects resistance to angular acceleration, and its calculation changes on the shape of the object. For a solid disk, the equation is
If we substitute in this value into our first equation, we see that