Finding the Power Produced by a Hydroelectric Generator

AI Thread Summary
The discussion focuses on calculating the power produced by a hydroelectric generator using given parameters. The volumetric flow rate of 10 m³/min is converted to 1/6 m³/s, and the mass flow rate is determined to be 166.67 kg/s. The potential gravitational energy formula is applied, resulting in a power output of approximately 122,627.45 Watts. Participants express confidence in the calculations, affirming their correctness. The thread highlights the importance of unit conversions and applying the correct formulas in hydroelectric power calculations.
bieon
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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?​
 
Last edited:
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Looks good.
 
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gleem said:
Looks good.
Thank you!
 

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