Velocity in SHMMediumQuestion 31164
Question
A particle in SHM has amplitude 10 cm and frequency 2 Hz. Speed at x = 6 cm is:
- A16π cm/sCorrect
- B12π cm/s
- C8π cm/s
- D4π cm/s
Correct answer
16π cm/s
Explanation
ω = 2π×2 = 4π rad/s. v = ω√(A²−x²) = 4π×√(100−36) = 4π×8 = 32π cm/s. Hmm — check: √64 = 8. v = 4π×8 = 32π cm/s. Closest: none exactly. v = 4π√64 = 32π.