A classical mechanics problem by Abdullah Faysal

Classical Mechanics Level 1

An inventor designs a pendulum clock using a bob with mass 200 g at the end of a thin wire of length 23 cm. Instead of swinging back and forth, the bob is to move in a horizontal circle, making a fixed angle 27° with the vertical. This is called a conical pendulum because the suspending wire traces out a cone. Find the period \(T\) of this pendulum.

Note: Use \(\pi = 3.1416\) and \(g = 9.81\) m/s\(^2\).