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The maximum velocity and maximum acceleration of a body moving in a simple harmonic oscillator are 2m/s and 4 ms^{-2} the angular velocity is

  • Option 1)

    1 rad/s

  • Option 2)

    2 rad/s

  • Option 3)

    4 rad/s

  • Option 4)

    5 rad/s

 

Answers (1)

As we discussed in concept

Relation of velocity and displacement -

v= w\sqrt{A^{2}-x^{2}}
 

- wherein

\rightarrow  x is displacement from mean position

\rightarrow  A is Amplitude.

 

 V_{max}=Aw

a_{max}=w^{2}A

\frac{a_{max}}{V_{max}}=\frac{w^{2}A}{wA}=w

w=\frac{1}{2}=2rad/s

 


Option 1)

1 rad/s

Option is incorrect

Option 2)

2 rad/s

Option is correct

Option 3)

4 rad/s

Option is incorrect

Option 4)

5 rad/s

Option is incorrect

Posted by

Vakul

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