Answer:
59.885966 W
Explanation:
Mass flow rate of pump is given by
[tex]\frac{\Delta m}{\Delta t}=\rho Av\\\Rightarrow \dot m=1000\times \pi 0.0089^2\times 5.3\\\Rightarrow \dot m=1.318\ kg/s[/tex]
Power is given by
[tex]P=\Delta P+\Delta K\\\Rightarrow P=\dot m gh+\frac{1}{2}\dot mv^2\\\Rightarrow P=1.318\times 9.81\times 3.2+\frac{1}{2}\times 1.318\times 5.3^2\\\Rightarrow P=59.885966\ W[/tex]
As we are using mass flow rate the energy can be taken as power.
So, power of the pump is 59.885966 W
