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