A horizontal uniform solid disk of mass 3 kilogram and radius 2 meter starts from rest and rotates, about a vertical axis through its center, with a fix angular acceleration. At 0.5 second, it is rotating with an angular speed of 4 rad/s.
1. Compute through what angle has the disk turned during the first 0.5 second?
2. Calculate the angular acceleration of the disk?
3. Calculate how fast is a point on the rim moving at 0.5 second?
4. Calculate the angular momentum of the disk at 0.5 second?
5. Calculate what torque is being applied to the disk?