In a cyclone separator of radius 25 cm, a particle is travelling with a gas stream at velocity of 18 m/s. The ratio of centrifugal force to the gravitational force acting on the particle is ________(rounded off to 2 decimal places). Consider acceleration due to gravity (g) as 9.8 m/s2.

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Step 1: Calculate the centrifugal force ($F_c$). $$ F_c = m \frac{v^2}{r} $$ Step 2: Calculate the gravitational force ($F_g$). $$ F_g = m g $$ Step 3: Compute the ratio of centrifugal force to gravitational force. $$ \text{Ratio} = \frac{F_c}{F_g} = \frac{\frac{v^2}{r}}{g} = \frac{(18)^2}{0.25 \times 9.8} = 132.24 $$

In a cyclone separator of radius 25 cm, a particle is travelling with a gas stream at velocity of 18 m/s. The ratio of centrifugal force to the gravitational force acting on the particle is ________(rounded off to 2 decimal places).
Consider acceleration due to gravity (g) as 9.8 m/s2.

Correct Answer: 132

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