The displacement of an oscillating particle varies with time in seconds according to the equation y cm -sin-2 t -2-1-3- The maximum acceleration of the particle is approximatelyA- 5-21 cm - s 2B- 3-62 cm - s 2C- 1-81 cm - s 2D- 0-62 cm - s 2

The correct option is D 0.62 cm/s2 a_max = ω^2 a = ( π/4)^2 = 0.62 cm/sec^2 [ ∵ a = 1 ] ...

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Question

The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin $\frac{π}{2} (\frac{t}{2} + \frac{1}{3})$ . The maximum acceleration of the particle is approximately

5.21 cm/s²

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3.62 cm/s²

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1.81 cm/s²

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0.62 cm/s²

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Solution

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Similar questions

y (c m) = s i n \frac{π}{2} (\frac{t}{2} + \frac{1}{3})

x = 2 c o s (0.5 π t + \frac{π}{3})

x = t^{3} - 2 t^{2}

0

2

a = (3 t^{2} + 2 t + 1) m / s^{2}

x = 2 t^{3} - 6 t

m

2 sec

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