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SHM expression

A particle ex...

Question

A particle executes S.H.M with a period of 6 seconds. If the maximum speed is 3.14 cm/sec, then what is its amplitude?

A

3 cm

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B

5 cm

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C

6 cm

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D

9 cm

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Solution

The correct option is A 3 cm

$M a x . v e l o c i t y (V_{m a x}) = a ω$
$(ω = \frac{2 π}{T})$
$a = \frac{V}{ω}$
$a = \frac{v T}{2 π}$
$a = 3 c m$

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