Two turbines, A and B, are rotating at constant angular speeds. Turbine A has an angular speed of $\omega =2.0$ rad/s, and turbine B has an angular speed of $\omega =3.0$ rad/s. If both start at the same time, which turbine takes less time to rotate through an angular displacement of $1.0$ radian?

A circular coil of radius $R$ and moment of inertia $I$ is placed in a uniform magnetic field $B$. The coil is free to rotate about its axis, which is perpendicular to the magnetic field. If a current $I$ (current, not moment of inertia) is suddenly started in the coil, what is the initial angular acceleration $\alpha$ of the coil just after the current is started?

A block of mass $m$ is attached to a light string wound around a solid cylinder of mass $M$ and radius $R$. The cylinder rotates freely about its horizontal axis. When the block is released and descends, what is the magnitude $\alpha$ of the angular acceleration of the cylinder?

When solid sphere 4 m in diameter spins around its central axis at 120 RPM, it has 1,000 kg m² / s in angular momentum. Calculate the sphere's mass.

Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle? Consult Appendix E and the astronomical data in Appendix F

(a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle? Consult Appendix E and the astronomical data in Appendix F

A hollow, thin-walled sphere of mass $12.0\mathrm{kg}$ and diameter $48.0\text{ cm}$ is rotating about an axle through its center. The angle (in radians) through which it turns as a function of time (in seconds) is given by $\theta \left(t\right)=A{t}^2+B{t}^4$, where A has numerical value $1.50$ and B has numerical value $1.10$. What are the units of the constants A and B?

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.0 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)