Q.The Moon orbits the Earth approximately once in 27 days. What is the angle traversed by the Moon per day?

For a particle moving on a circle of radius $r$ about a centre O, the angle $\theta=\angle AOB$ swept out at the centre as the particle moves from position A to position B is its angular displacement, measured in radians, related to the arc length travelled by $\theta=s/r$ (equivalently $s=r\theta$). For a body rotating at a constant rate, the angular displacement after time $t$ is simply $\theta=\omega t$ (angular speed times time) when starting from $\theta=0$; more generally, under constant angular acceleration, $\theta=\omega_0t+\tfrac12\alpha t^2$ (the angular counterpar …