A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be:
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For a particle executing SHM, maximum acceleration is
α = Aw^2
A = Maximum amplitude
w = angular velocity.
Maximum Velocity is
β = Aw.
α/β = Aw^2/Aw = w = 2π/T
T - Time period of vibration.
=> T = 2πβ / α
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