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GATE 2024 ES – Question 57

Air and Noise Pollution · Particulate Pollutants · 2 marks · Numerical answer

A particle moves at 18 m/s in a cyclone of radius25 cm. Find centrifugal/gravitational force ratio, to two decimals, using g=9.8 m/s².

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Correct answer: 132.00 to 133.00

Explanation

Centrifugal-force magnitude is $mv^2/r$ and weight is mg. Mass cancels, leaving $F_c/F_g=v^2/(rg)=18^2/(.25\cdot9.8)=132.244898$. Rounded to two decimals, the dimensionless ratio is **132.24**. Convert the radius from 25 cm to .25 m before substitution.

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