AP EAMCET20224 Jul 2022Morning ShiftPhysicsOscillationsActual
An object undergoing simple harmonic motion takes 0 . 5 s to travel from one point of zero velocity to the next such point. The angular frequency of the motion is,
Options
- Aπ   rad   s - 1
- B2 π   rad   s - 1
- C3 π   rad   s - 1
- Dπ 2   rad   s - 1
Correct answer
B. 2 π   rad   s - 1
Step-by-step solution
If displacement of particle undergoing SHM is given by, x = A sin ω t , then velocity of the particle will be given by, v = A ω cos ω t . From the graph, we can see, at point A and B velocity of the particle will be zero. Clearly, time taken is half of time period, which is T 2 . Therefore, T 2 = 0 . 5 ⇒ T = 1   s Now, angular frequency will be, ω = 2 π T = 2 π   rad   s - 1