Finding the Power Produced by a Hydroelectric Generator

In summary, a hydroelectric generator produces power by using the force of moving water to turn a turbine, which is connected to a generator. It has an average efficiency of around 90% and factors such as water flow, head, turbine size, and transmission losses can affect its power output. The power output is typically measured in kilowatts or megawatts and can be consistent as long as there is a steady water supply and proper maintenance. However, it may vary due to external factors.
  • #1
bieon
32
3
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

=ρQ
=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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  • #2
Looks good.
 
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Likes bieon
  • #3
gleem said:
Looks good.
Thank you!
 

1. How does a hydroelectric generator work?

A hydroelectric generator uses the power of moving water to turn a turbine, which then spins a generator to produce electricity. This process is known as hydroelectric power generation.

2. What factors affect the power produced by a hydroelectric generator?

The power produced by a hydroelectric generator can be affected by the amount of water flow, the height of the water drop (known as the head), and the efficiency of the generator and turbine.

3. How is the power produced by a hydroelectric generator measured?

The power produced by a hydroelectric generator is measured in kilowatts (kW) or megawatts (MW). This is the amount of electricity that is generated in a given amount of time.

4. Can a hydroelectric generator produce enough power to meet all of our energy needs?

While hydroelectric power is a renewable and clean energy source, it currently only supplies a small percentage of the world's energy needs. However, with advancements in technology and the development of more efficient generators, it has the potential to play a larger role in our energy production.

5. What are the advantages of using a hydroelectric generator over other forms of energy production?

Hydroelectric power is a clean and renewable energy source that does not produce greenhouse gas emissions or air pollution. It also has a low operating cost and can be used to store energy for later use. Additionally, hydroelectric plants can be built in various sizes, making it suitable for different energy needs.

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