A car drives at a constant $15\mathrm{m}/\mathrm{s}$ along a curve on city street with a radius of $70\mathrm{m}$. What is the acceleration of the car?

(II) The angular acceleration of a wheel, as a function of time, is α = 4.2 t² ― 9.0 t , where α is in rad/s² and t in seconds. If the wheel starts from rest (θ = 0 , ω = 0, at t = 0), determine a formula for

(b) the angular position θ, both as a function of time.

(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.