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A simple pendulum of length 90 cm is oscillating with an angular amplitude of 4o ,Then the maximum velocity of its bob is (Takeg=10m/s2)

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a
π15m/s
b
π30m/s
c
π10m/s
d
π5m/s

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detailed solution

Correct option is A

Angular amplitudeϕ=4×π180rad=π45rad.∴Linear amplitude A=ϕdAngular frequency, w=gl∴Vmax=w.A=gl×ϕl=ϕgl=π45×10×0.9m/s=π15m/s


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