JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Afternoon)

  • question_answer
    Moment of inertia of a body about a given axis is 1.5 kg \[{{m}^{2}}\]. Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular acceleration of \[20\text{ }rad/{{s}^{2}}\] must be applied about the axis for a duration of :- [JEE Main 9-4-2019 Afternoon]

    A) 2 s                               

    B) 5s

    C) 2.5 s                

    D) 3 s

    Correct Answer: A

    Solution :

    Given moment of inertia \['I'=1.5kg{{m}^{2}}\] Angular Acc. \[''\alpha ''=20\text{ }Rad/{{s}^{2}}\] \[KE=\frac{1}{2}I{{\omega }^{2}}\] \[1200=\frac{1}{2}1.5\times {{\omega }^{2}}\] \[{{\omega }^{2}}=\frac{1200\times 2}{1.5}=1600\] \[\omega =40rad/{{s}^{2}}\] \[\omega ={{\omega }_{0}}+\alpha t\] \[40=0+20t\] \[t=2\sec .\]


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