9th Class Science Time and Motion Question Bank Motion

  • question_answer
    The earth's radius is 6400 km. It makes one revolution about its own axis in 24 hrs. The centripetal acceleration of a point on its equator is nearly

    A) \[\text{34}0\text{ cm}/{{\text{s}}^{\text{2}}}\]        

    B)         \[\text{34 cm}/{{\text{s}}^{\text{2}}}\]

    C) \[\text{3}.\text{4 cm}/{{\text{s}}^{\text{2}}}\]          

    D)         \[0.\text{34 cm}/{{\text{s}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

                \[a={{\omega }^{2}}R={{\left( \frac{2\pi }{T} \right)}^{2}}\times R\]             \[={{\left( \frac{2\times 22}{7\times 24\times 3600} \right)}^{2}}6400\]             \[=3.4\times {{10}^{-2}}m/{{s}^{2}}=\mathbf{3}\mathbf{.4}\,\,\mathbf{cm/}{{\mathbf{s}}^{\mathbf{2}}}\]


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