Dynamics of Circular Motion: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dynamics of Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

Concept: Centripetal acceleration in uniform circular motion.
Formula: \(a = \omega^2 r\), where \(\omega = 2\pi f\) and \(f\) is frequency.
Solution: Frequency \(f = 22 \text{ rev}/44 \text{ s} = 0.5 \text{ Hz}\). Angular velocity \(omega = 2\pi(0.5) = \pi \text{ rad/s}\). Radius \(r = 1 \text{ m}\). So, \(a = (\pi)^2 (1) = \pi^2 \text{ m/s}^2\). Direction is always towards the centre.