The dwarf planet Ceres has a radius of $476\mathrm{km}$, a mass of $9.5\times {10}^{20}\mathrm{kg}$, and a free fall acceleration due to gravity of $0.28\mathrm{m}/{\mathrm{s}}^2$. What speed will a rock have if it is orbiting Ceres, right on the surface? Ceres has no atmosphere – so there are no issues with air resistance – but assume that there are no mountains or large boulders to impede the orbit.

(II) Suppose the force Fₜ in the cord hanging from the pulley of Example 10–10, Fig. 10–22, is given by the relation Fₜ = 3.00 t ― 0.20 t² (newtons) where t is in seconds. If the pulley starts from rest, what is the linear speed of a point on its rim 9.0 s later? Ignore friction and use the moment of inertia, calculated in Example 10–10.

Calculate the rotational velocity (in rad/s) of a clock's minute hand. 

EXTRA:Calculate the rotational velocity (in rad/s) of a clock's hour hand.

A wheel of radius 5 m accelerates from 60 RPM to 180 RPM in 2 s. Calculate its angular acceleration.