Chapter 12.8, Problem 160P

A radar gun at O rotates with the angular velocity of $\stackrel{\dot{}}{\theta }=0.1\text{rad/s}$ and angular acceleration of $\ddot{\theta }=0.025{\text{rad/s}}^2$, at the instant θ = 45°, as it follows the motion of the car traveling along the circular road having a radius of r = 200 m. Determine the magnitudes of velocity and acceleration of the car at this instant.