There is a pipe whose diameter narrows smoothly from 10cm to 5.0cm. The pressure at where this pipe's diameter is 5cm is 50kPa. Given water's density of 1000kg/m^3, and a flow rate of 5.0L/s, what is the pressure at the point where the pipe's diameter is 10cm?(adsbygoogle = window.adsbygoogle || []).push({});

First the continuity equation:

Q=Av

0.005L/s=[pi(0.05/2)^2]v

v=2.546m/s

Then, Bernoulli's equation:

Substitute v1 for A2v2/A1

P1=50000+(.5)(1000)(2.564^2-[(pi*.05^2)(2.564)/(pi*.1^2)])

I left the potential energy out of the equation because it is negligible givien the number of significant figures we have. Even though I did the calculation with adding potential energy it is still wrong.

So I got 79993Pa. I know it is very wrong but I cannot check it since I don't have the answers. Any help please?

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# Pressure and flow rates

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