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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Acceleration Due to Gravity

  • question_answer
    The radius of the earth is 6400 km and \[g=10m/{{\sec }^{2}}\]. In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is                              [MP PMT 1985]

    A) 1/80 radian/sec

    B)             1/400 radian/sec

    C)             1/800 radian/sec         

    D)             1/1600 radian/sec

    Correct Answer: C

    Solution :

                    For the condition of weightlessness at equator             \[\omega =\sqrt{\frac{g}{R}}\] \ \[\omega =\sqrt{\frac{1}{640\times {{10}^{3}}}}=\frac{1}{800}rad/s\]


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