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A body is vibrating in SHM. If its acceleration is 12\: cm/s^{2} at a displacement 3\: cm from the mean position, then the time period is 

  • Option 1)

    6.28 s

  • Option 2)

    3.14 s

  • Option 3)

    1.57 s

  • Option 4)

    2.57 s

 

Answers (1)

best_answer

\\*a = \omega^{2}x \Rightarrow 12 = \omega^{2} (3)\\*\omega = 2 rad/s =\frac{2\pi}{T}\Rightarrow T = \pi r

 

Angular frequency -

The number of revolutions (expressed in radian) performed per unit time is known as Angular Frequency.

- wherein

It is represented by w=\frac{2\pi }{T}

 

 

 


Option 1)

6.28 s

This is incorrect.

Option 2)

3.14 s

This is correct.

Option 3)

1.57 s

This is incorrect.

Option 4)

2.57 s

This is incorrect.

Posted by

Avinash

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