A 8-hp (shaft) pump is used to raise water to an elevation of 15 m. If the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water.

Respuesta :

Answer:

Volume flow rate of water = 0.048 m³/s

Explanation:

Given that

Power ,SP= 8 hp

We know that 1 hp = 745.7 W

SP=5965.6 W

SP=5.96 KW

h = 15 m

Mechanical efficiency ,η = 82 % = 0.82

The maximum water power ,WP= ρ Q g h

Q=Volume flow rate

ρ= Density of water

WP= 1000 x Q x 10 x 15 W

WP=150 Q KW

Mechanical efficiency

[tex]\eta =\dfrac{SP}{WP}[/tex]

[tex]0.82=\dfrac{5.96}{150\ Q}[/tex]

[tex]Q=\dfrac{5.96}{0.82\times 150}\ m^3/s[/tex]

Q = 0.048 m³/s

Volume flow rate of water = 0.048 m³/s