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
Q=55 l/s=55×10−3 m3/sQ=55\space l/s=55\times10^{-3}\space m^3/sQ=55 l/s=55×10−3 m3/s
d=9.05 cm=9.05×10−2 md=9.05\space cm=9.05\times10^{-2}\space md=9.05 cm=9.05×10−2 m
Q=AvQ=AvQ=Av
A:A:A: Area of cross-section of pipe
v:v:v: velocity of flow
v=QA=55×10−3πd24v=\dfrac{Q}{A}=\dfrac{55\times10^{-3}}{\dfrac{\pi d^2}{4}}v=AQ=4πd255×10−3
v=8.550 m/sv=8.550\space m/sv=8.550 m/s
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