The pump in a fire engine supplies water to a fire hose by pressurizing the wate

Question

The pump in a fire engine supplies water to a fire hose by pressurizing the water in a tank. A hose of diameter of 8.00 cm is attached to a fire engine which contains a large tank of water. The water is pressurized to a gauge pressure of 3.00 atm. If the end of the hose is 2.30 meters above the level as the tank, find the speed at which the water exits the hose and the flow rate of the water exiting the hose.

Explanation / Answer

P+0.5rhov^2+rho*g*h = constant =>(3*1.013*(10^5))+0+0 = 0+(0.5*1000*v^2)+(1000*9.81*2.3) =>v = 23.72075041 m/s flow rate of the water exiting the hose = rho*A*v = 1000*(22/7)*((4/100)^2)*23.72075041 = 119.2814878 L/s

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