Liquid Problem with Bernoulli's Equation

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SUMMARY

The discussion focuses on applying Bernoulli's Equation and the Continuity Equation to determine the speed and pressure of water in a tapered pipe system. The initial conditions include a 2.6 cm diameter pipe carrying water at 0.90 m/s and 240 kPa pressure, tapering to 1.6 cm and rising 7.5 m. The correct approach involves calculating the cross-sectional areas and incorporating the height change into Bernoulli's Equation to find the final speed and pressure at the second floor.

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  • Familiarity with fluid dynamics concepts
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A water pipe having a 2.6 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 240 kPa. If the pipe tapers to 1.6 cm and rises to the second floor 7.5 m above the input point, what are the (a) speed and (b) water pressure at the second floor?

I tried to set it up as:

14kcu4i.jpg


But clearly it's wrong because I didn't take into consideration the area (given the diameter) etc.

I would appreciate any help. Thank you.
 
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Oh, but to solve this problem you'll need to use your last topic equation (the continuity equation :wink: )
 
All righty...

if it's A1V1 = A2V2...do we take into consideration the final height?
 

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