Finding the Power Produced by a Hydroelectric Generator

[bieon]

Homework Statement

A hydroelectrical power plant receives 10 m³/min water from a dam, where the water level is 75 m above the turbine discharge water level. Determine the electric power generated.

Relevant Equations

Refer Below

My Attempt So Far:

1. Write down all information:
Q=10m³ /min
h=75m

2. Change 10m³ /min to m³ /s

10m³ /min × min/60s =1/6 m³ /s
​

3. Change Volumetric Flow Rate to Mass Flow Rate

ṁ=ρQ
ṁ=1000kg/m³ × 1/6 m³ /s
ṁ=166.67 kg/s
​

4. Apply Potential Gravitational energy but replacing the Mass with Mass Flow Rate

P=ṁgh
P=166.67kg/s × 9.81m/s² × 75m
P=122627.45WattThese are my attempt but I am unsure if my answers are correct?​

 

[gleem]

Looks good.

 

[bieon]

Looks good.

Thank you!