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← JEE Main 2016 · 10 Apr · Shift 1
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JEE Main 2016 · 10 Apr · Shift 1, Physics question 3

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 1.25 m and its axle to be horizontal) :

Choose one option
Answer and worked solution

Official answer: D

The ingredients stay stuck at the top when ω2R≥g\omega^2R\ge g. So ωmax=9.81.25=2.8\omega_{max}=\sqrt{\frac{9.8}{1.25}}=2.8 rad/s, i.e. 2.8×602π≈27\frac{2.8\times60}{2\pi}\approx27 rpm.