JEE Main & Advanced Physics Two Dimensional Motion Question Bank Non-uniform Circular Motion

  • question_answer
    A car is moving with speed 30 \[m/\sec \]on a circular path of radius 500 m. Its speed is increasing at the rate of \[2m/{{\sec }^{2}},\] What is the acceleration of the car                         [MP PMT 2003; Roorkee 1982; RPET 1996; MH CET 2002]

    A)             \[2m/{{\sec }^{2}}\]

    B)                      \[2.7m/{{\sec }^{2}}\]

    C)             \[1.8m/{{\sec }^{2}}\]

    D)                      \[9.8\,m/{{\sec }^{2}}\]

    Correct Answer: B

    Solution :

                    Net acceleration in nonuniform circular motion,             a\[=\sqrt{a_{t}^{2}+a_{c}^{2}}\]\[=\sqrt{{{(2)}^{2}}+{{\left( \frac{900}{500} \right)}^{2}}}=2.7\,m/{{s}^{2}}\]             \[{{a}_{t}}=\]tangential acceleration             \[{{a}_{c}}=\]centripetal acceleration \[=\frac{{{v}^{2}}}{r}\]


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