The pressure in the water supply system is 1.8 ⋅ 10 (to the 5th degree) Pa. Find the force with which the water presses

| August 4, 2021 | education

The pressure in the water supply system is 1.8 ⋅ 10 (to the 5th degree) Pa. Find the force with which the water presses on the plug that closes the pipe hole, if the area of the hole is 4 cm (to the 2nd degree)

Given:

P = 1.8 * 10 ^ 5 Pascal – water pressure in the water supply;

S = 4 square centimeters – the area of the pipe hole.

It is required to determine F (Newton) – the force with which the water presses on the plug that closes the hole in the pipe.

We convert the units of measurement of area from square centimeters to square meters:

S = 4 cm2 = 4 * 10 ^ -4 = 0.0004 square meters.

Then the force will be equal to:

P = F / S, hence:

F = P * S = 1.8 * 10 ^ 5 * 0.0004 = 180,000 * 0.0004 = 72 Newtons.

Answer: water presses on the plug with a force equal to 72 Newtons.



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