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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

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    A body of mass 1 kg tied to one end of string is revolved in a horizontal circle of radius 0.1 m with a speed of 3 revolution/sec, assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be                          [DPMT 2003]

    A)             \[1.88\,\,m/s,\,\,35.5\,\,m/{{s}^{2}},\,\,35.5\,\,N\]

    B)           \[2.88\,\,m/s,\,\,45.5\,\,m/{{s}^{2}},\,\,45.5\,\,N\]

    C)                 \[3.88\,\,m/s,\,\,55.5\,\,m/{{s}^{2}},\,\,55.5\,\,N\]

    D)                 None of these

    Correct Answer: A

    Solution :

                    Linear velocity,             \[v=\omega r=2\pi nr=2\times 3.14\times 3\times 0.1=1.88\,m/s\]             Acceleration, \[a={{\omega }^{2}}r={{(6\pi )}^{2}}\times 0.1=35.5\,m/{{s}^{2}}\]             Tension in string, \[T=m{{\omega }^{2}}r=1\times {{(6\pi )}^{2}}\times 0.1=35.5\,N\]


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