Question #184378

What is the fluid speed in a fire hose with a 9.05-cm diameter carrying 55 L of water per second? 

Round your answer to 3 decimal places


1
Expert's answer
2021-04-23T11:06:28-0400

Q=55 l/s=55×103 m3/sQ=55\space l/s=55\times10^{-3}\space m^3/s

d=9.05 cm=9.05×102 md=9.05\space cm=9.05\times10^{-2}\space m

Q=AvQ=Av

A:A: Area of cross-section of pipe

v:v: velocity of flow

v=QA=55×103πd24v=\dfrac{Q}{A}=\dfrac{55\times10^{-3}}{\dfrac{\pi d^2}{4}}

v=8.550 m/sv=8.550\space m/s


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