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Work done by pressure forcing water through a pipe

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Problem 61

How much work is done by pressure in forcing 9.6 m3 of water through a pipe having an internal diameter of 13 mm if the difference in pressure at the two ends of the pipe is 3.2 atm?

Problem 81

Tin can has a total volume of 1380 cm3 and a mass of 146 g. How many grams of lead shot of density 11.4 g/cm3 could it carry without sinking in water?

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The expert examines work done by pressure forcing water through a pipe.

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Problem: How much work is done by pressure in forcing 9.6 m3 of water through a pipe having an internal diameter of 13 mm if the difference in pressure at the two ends of the pipe is 3.2 atm?

Solution:

P1 R = 6.5 mm P2

h1 h2

Pressure difference = P1 - P2 = 3.2 atm or 3.2 x 1.01 x 105 = 3.23 x 105 Pa

Net force acting on the water in the pipe = F = 3.23 x 105 x A .......(!) where A = Area of cross section of the pipe

As volume V of water flows out of the pipe, let the water ...

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