NEET Sample Paper NEET Sample Test Paper-25

  • question_answer
    A wheel having moment of inertia\[2\text{ }kg-{{m}^{2}}\]about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be

    A) \[\frac{2\pi }{15}N-m\]

    B) \[\frac{\pi }{12}N-m\]

    C) \[\frac{\pi }{15}N-m\]

    D) \[\frac{\pi }{18}N-m\]       

    Correct Answer: C

    Solution :

     Given: \[I=2\,kg-{{m}^{2}},{{\omega }_{0}}=\frac{60}{60}\times 2\pi \,rad/s,\] \[\omega =0,t=60\,s\] The torque required to stop the wheel's rotation is \[\tau =I\alpha =I\left( \frac{{{\omega }_{0}}-\omega }{t} \right)\] \[\therefore \]      \[\tau =\frac{2\times 2\pi \times 60}{60\times 60}=\frac{\pi }{15}\,N-m\]


You need to login to perform this action.
You will be redirected in 3 sec spinner