Acceleration of a Particle in Circular Motion – Rankers Physics
Topic: Circular Motion
Subtopic: Uniform Circular Motion

Acceleration of a Particle in Circular Motion

A particle moves in a circle of radius \(10\text{ cm}\) with constant speed and time period \(\pi\text{ s}\). The acceleration of the particle is :
\(10\text{ cm/s}^2\)
\(20\text{ cm/s}^2\)
\(40\text{ cm/s}^2\)
\(50\text{ cm/s}^2\)

Solution:

The angular frequency is \(\omega = \frac{2\pi}{T} = \frac{2\pi}{\pi} = 2\text{ rad/s}\). The centripetal acceleration is \(a = \omega^2 R = 2^2 \times 10 = 40\text{ cm/s}^2\).

Leave a Reply

Your email address will not be published. Required fields are marked *