Rotation of a Rigid Body and Angular Momentum: Study Notes and Worked Examples

A solid disk of radius $0.10\ \mathrm{m}$ and mass $2.0\ \mathrm{kg}$ is spinning at $1200\ \mathrm{rpm}$ at $t=0$. It is then subjected to a constant frictional torque, causing it to stop in $20.0\ \mathrm{s}$. What is the total number of revolutions made before it comes to rest?

Consider a point on the edge of a $0.10\ \mathrm{m}$ radius disk rotating at $1200\ \mathrm{rpm}$. What is the magnitude of the tangential acceleration of the point as the disk slows to a stop in $20.0\ \mathrm{s}$?

What is the magnitude of the disk's rotational torque if its moment of inertia is $I = \frac{1}{2}MR^2$ and it slows from $1200\ \mathrm{rpm}$ to rest in $20.0\ \mathrm{s}$?