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JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

  • question_answer
    Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute (rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25m and its axle to be horizontal):     JEE Main Online Paper (Held On 10 April 2016)

    A) 1.3                                            

    B) 0.4

    C) 27.0                                          

    D) 8.0

    Correct Answer: D

    Solution :

                 Bonus              \[\zeta \le \sqrt{5gr}\]              \[\omega \frac{v}{r}\le \sqrt{\frac{5g}{r}}=\sqrt{\frac{50\times 8}{10}}=\sqrt{\frac{400}{10}}\]              \[\omega =\sqrt{40}\]rad/s \[=\frac{60\sqrt{10}}{\pi }\]rpm


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