Question

A porter put a box on a round cloth of area 200 cm2 over his head. The pressure exerted by the box 0. 25 N/cm2. If the porter increase the area of round cloth to 300 cm2. What will be the reduced pressure on his head?

Answer 1

about 0.167 N/cm²

Explanation:

You want the pressure when the force resulting in a pressure of 0.25 N/cm² over an area of 200 cm² is instead applied over an area of 300 cm².

Pressure

Pressure is the ratio of force to area. Then the force applied by the original box/cloth arrangement is ...

F = (200 cm²)(0.25 N/cm²) = 50 N

When that force is applied over 300 cm², the pressure is ...

P = F/A = (50 N)/(300 cm²) = 1/6 N/cm² ≈ 0.167 N/cm²

The reduced pressure is about 0.167 N/cm².

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