A body of M.I. 3 kg m^{2} rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of

  • Option 1)

    1 m/s

  • Option 2)

    2 m/s

  • Option 3)

    4 m/s

  • Option 4)

    8 m/s

 

Answers (1)
V Vakul

As we discussed in

Kinetic energy of rotation -

K=\frac{1}{2}Iw^{2}

- wherein

I = moment of inertia about axis of rotation

w = angular velocity

 

 1/2mv2 = 1/2lw 2 

12v2 = 3\times

v2 = 1

V = 1ms-1 


Option 1)

1 m/s

correct

Option 2)

2 m/s

incorrect

Option 3)

4 m/s

incorrect

Option 4)

8 m/s

incorrect

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