Liquid Problem with Bernoulli's Equation

AI Thread Summary
To solve the problem using Bernoulli's equation, the continuity equation must first be applied, which relates the cross-sectional areas and velocities of the water at two points in the pipe. The initial conditions include a 2.6 cm diameter pipe with a water speed of 0.90 m/s and a pressure of 240 kPa. As the pipe tapers to 1.6 cm and rises 7.5 m, the speed at the second floor can be calculated using the area ratio from the continuity equation. The change in height will affect the pressure, which can be determined by applying Bernoulli's principle, accounting for gravitational potential energy. Ultimately, both the speed and pressure at the second floor can be derived from these equations.
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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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