A particle is performing uniform circular motion. If ' $\theta^{\prime},{ }^{\prime} \omega^{\prime},{…
A particle is performing uniform circular motion. If ' $\theta^{\prime},{ }^{\prime} \omega^{\prime},{ }^{\prime} \propto^{\prime}$ and 'a' are its
angular displacement, angular velocity, angular acceleration and centripetal
acceleration respectively, then which of the following is 'WRONG'?
(' $\mathrm{v}$ ' is its linear velocity )
For a particle performing uniform circular motion, the following relationships hold true:
1. Angular displacement $\theta$ is related to the angle through which the particle moves.
2. Angular velocity $\omega$ is the rate of change of angular displacement.
3. Angular acceleration $\alpha$ is the rate of change of angular velocity.
4. Centripetal acceleration $a_c=\frac{v^2}{R}$, where $v$ is the linear velocity and $R$ is the radius of the circular path.
The incorrect statement is:
- Option (3): This is identified as the wrong statement in the solution.