Question

if two forces in the ratio 5:7 act on two ares in the ratio 4:5 ,find the ratio of the pressure exerted.

Answer 1

Explanation:

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Answer 2

Given - Ratio of force = 5:7

Ratio of area = 4:5

Find - Ratio of pressure exerted

Solution - The pressure, force and area are related to each other by the formula :

Pressure = Force/Area.

Now, taking the ratio of pressure 1 and pressure 2.

So, the formula will be -

$\frac{pressure \: 1}{pressure \: 2} \: = \: \frac{force \: 1 \times area \: 2}{force \: 2 \times area \: 1}$

Now keeping the values in formula to find the ratio of pressure exerted.

$\frac{pressure \: 1}{pressure \: 2 } = \frac{5 \times 5}{7 \times 4}$

$\frac{pressure \: 1}{pressure \: 2 } = \frac{25}{28}$

Thus, the ratio of pressure exerted is 25:28.