NEET Sample Paper NEET Sample Test Paper-51

  • question_answer A body moves is a circular path of radius \[r\,\,=\,\,500\,\,\,m\] with tangential acceleration\[{{a}_{t}}=2\text{ }m{{s}^{-}}^{2}\]. When its tangential linear velocity is \[30\text{ }m/s\], the total acceleration will be:

    A) \[5.4\text{ }m{{s}^{-}}^{2}\]

    B) \[3.9\text{ }m{{s}^{-}}^{2}\]

    C) \[2.7\,\,m{{s}^{-2}}\]  

    D) \[2.1\,\,m{{s}^{-}}^{2}\]

    Correct Answer: C

    Solution :

    Centripetal acceleration, \[{{a}_{c}}=\frac{{{v}^{2}}}{r}\,\,=\,\,\frac{{{(30)}^{2}}}{500}\,\,=\,\,1.8\,m/s\] \[\therefore \,\,\,\text{ }Total\text{ }acceleration,\] \[a=\sqrt{{{({{a}_{c}})}^{2}}+{{({{a}_{t}})}^{2}}}\] \[=\,\,\sqrt{{{(1.8)}^{2}}+{{(2)}^{2}}}\,\,=\,\,2.7m/{{s}^{2}}\]


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