Answer to Question #184378 in Mechanics | Relativity for Konoha

Question

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

Answer 1

$Q=55\space l/s=55\times10^{-3}\space m^3/s$

$d=9.05\space cm=9.05\times10^{-2}\space m$

$Q=Av$

$A:$ Area of cross-section of pipe

$v:$ velocity of flow

$v=\dfrac{Q}{A}=\dfrac{55\times10^{-3}}{\dfrac{\pi d^2}{4}}$

$v=8.550\space m/s$