Manipal Medical Manipal Medical Solved Paper-2002

  • question_answer
    A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 second. The magnitude of acceleration of stone will be:

    A)  \[990\,cm/{{s}^{2}}\]      

    B)  \[860\,cm/{{s}^{2}}\]

    C)  \[720\,cm/{{s}^{2}}\]       

    D)  \[493\,cm/{{s}^{2}}\]

    Correct Answer: D

    Solution :

     Here: Length of the string \[l=50\text{ }cm\] Time period \[T=\frac{20}{10}=2\text{ }sec\] The angular velocity \[\omega =\frac{2\pi }{T}=\frac{2\pi }{2}=3.14\] Hence, magnitude of acceleration is given by \[a={{\omega }^{2}}\times l={{(3.14)}^{2}}\times 50=493\text{ }cm/se{{c}^{2}}\]


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