Flow Rate of Water given Power Formula

Fx Copy
LaTeX Copy
Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment. Check FAQs
Q=Ph[g]ρwH
Q - Flow Rate?Ph - Hydroelectric Power?ρw - Water Density?H - Fall Height?[g] - Gravitational acceleration on Earth?

Flow Rate of Water given Power Example

With values
With units
Only example

Here is how the Flow Rate of Water given Power equation looks like with Values.

Here is how the Flow Rate of Water given Power equation looks like with Units.

Here is how the Flow Rate of Water given Power equation looks like.

2.0986Edit=5145Edit9.80661000Edit250Edit
You are here -
HomeIcon Home » Category Engineering » Category Electrical » Category Power Plant Operations » fx Flow Rate of Water given Power

Flow Rate of Water given Power Solution

Follow our step by step solution on how to calculate Flow Rate of Water given Power?

FIRST Step Consider the formula
Q=Ph[g]ρwH
Next Step Substitute values of Variables
Q=5145kW[g]1000kg/m³250m
Next Step Substitute values of Constants
Q=5145kW9.8066m/s²1000kg/m³250m
Next Step Convert Units
Q=5.1E+6W9.8066m/s²1000kg/m³250m
Next Step Prepare to Evaluate
Q=5.1E+69.80661000250
Next Step Evaluate
Q=2.09857596630858m³/s
LAST Step Rounding Answer
Q=2.0986m³/s

Flow Rate of Water given Power Formula Elements

Variables
Constants
Flow Rate
Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Hydroelectric Power
Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.
Symbol: Ph
Measurement: PowerUnit: kW
Note: Value should be greater than 0.
Water Density
Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.
Symbol: ρw
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Fall Height
Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²

Other formulas in Hydroelectric Power Plant category

​Go Energy Produced by Hydroelectric Power Plant
E=[g]ρwQHηt
​Go Energy Produced by Hydroelectric Power Plant given Power
E=Phηt
​Go Head or Height of Fall of Water given Power
H=Ph[g]ρwQ
​Go Efficiency of Turbine given Energy
η=E[g]ρwQHt

How to Evaluate Flow Rate of Water given Power?

Flow Rate of Water given Power evaluator uses Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height) to evaluate the Flow Rate, The Flow Rate of Water given Power formula is defined as the amount of water that passes through the turbine per unit of time. It is typically measured in cubic meters per second (m³/s) or gallons per minute (gpm), and is an important factor in determining the amount of electrical energy that can be produced by the plant. Flow Rate is denoted by Q symbol.

How to evaluate Flow Rate of Water given Power using this online evaluator? To use this online evaluator for Flow Rate of Water given Power, enter Hydroelectric Power (Ph), Water Density w) & Fall Height (H) and hit the calculate button.

FAQs on Flow Rate of Water given Power

What is the formula to find Flow Rate of Water given Power?
The formula of Flow Rate of Water given Power is expressed as Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height). Here is an example- 2.098576 = 5145000/([g]*1000*250).
How to calculate Flow Rate of Water given Power?
With Hydroelectric Power (Ph), Water Density w) & Fall Height (H) we can find Flow Rate of Water given Power using the formula - Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height). This formula also uses Gravitational acceleration on Earth constant(s).
Can the Flow Rate of Water given Power be negative?
No, the Flow Rate of Water given Power, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Flow Rate of Water given Power?
Flow Rate of Water given Power is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Flow Rate of Water given Power can be measured.
Copied!