JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति JEE PYQ - Work Energy Power and Collision

  • 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 ONLINE 10-04-2016]

    A)             1.3

    B) 0.4

    C)             27.0

    D) None of these

    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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