The maximum speed of a body vibrating under S.H.M. with time period of $π / 4$ s amplitude 7 cm is

488 cm/s

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56 cm/s

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38.5 cm/s

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5.5 cm/s

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Solution

The correct option is B 56 cm/s
$T = \frac{π}{4}$
$ω = \frac{2 π}{T} = 8 \frac{r a d}{s e c}$
$v_{m a x} = ω A = 8 \times 7 = 56 \frac{c m}{s}$

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The maximum speed of a body vibrating under S.H.M. with time period of π/4 s amplitude 7 cm is

The correct option is B 56 cm/sT=π4ω=2πT=8radsecvmax=ωA=8×7=56cms

The maximum speed of a body vibrating under S.H.M. with time period of $π / 4$ s amplitude 7 cm is

The correct option is B 56 cm/s
$T = \frac{π}{4}$
$ω = \frac{2 π}{T} = 8 \frac{r a d}{s e c}$
$v_{m a x} = ω A = 8 \times 7 = 56 \frac{c m}{s}$