Wind Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2
τo = CD*ρ*V10^2
This formula uses 4 Variables
Variables Used
Wind Stress - (Measured in Pascal) - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
STEP 1: Convert Input(s) to Base Unit
Drag Coefficient: 0.0025 --> No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τo = CD*ρ*V10^2 --> 0.0025*1.293*22^2
Evaluating ... ...
τo = 1.56453
STEP 3: Convert Result to Output's Unit
1.56453 Pascal --> No Conversion Required
FINAL ANSWER
1.56453 Pascal <-- Wind Stress
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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NSS College of Engineering (NSSCE), Palakkad
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14 Forces Driving Ocean Currents Calculators

Latitude given Magnitude of Horizontal Component of Coriolis Acceleration
Go Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface))
Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration
Go Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Earth Station Latitude))
Magnitude of Horizontal Component of Coriolis Acceleration
Go Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Earth Station Latitude)*Horizontal Speed across the Earth’s Surface
Wind Speed at Height 10 m given Wind Stress
Go Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air))
Coriolis Frequency given Horizontal Component of Coriolis Acceleration
Go Coriolis Frequency = Horizontal Component of Coriolis Acceleration/Horizontal Speed across the Earth’s Surface
Horizontal Speed across Earth's Surface given Coriolis Frequency
Go Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/Coriolis Frequency
Horizontal Component of Coriolis Acceleration
Go Horizontal Component of Coriolis Acceleration = Coriolis Frequency*Horizontal Speed across the Earth’s Surface
Latitude given Coriolis Frequency
Go Earth Station Latitude = asin(Coriolis Frequency/(2*Angular Speed of the Earth))
Angular Speed of Earth for given Coriolis Frequency
Go Angular Speed of the Earth = Coriolis Frequency/(2*sin(Earth Station Latitude))
Drag Coefficient given Wind Stress
Go Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2)
Coriolis Frequency
Go Coriolis Frequency = 2*Angular Speed of the Earth*sin(Earth Station Latitude)
Wind Stress
Go Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2
Wind Speed at Height 10 m for Drag Coefficient
Go Wind Speed at Height of 10 m = (Drag Coefficient-0.00075)/0.000067
Drag Coefficient
Go Drag Coefficient = 0.00075+(0.000067*Wind Speed at Height of 10 m)

Wind Stress Formula

Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2
τo = CD*ρ*V10^2

What is Drag Coefficient?

Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the drag equation in which a lower drag coefficient indicates the object will have less aerodynamic or hydrodynamic drag.

How to Calculate Wind Stress?

Wind Stress calculator uses Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2 to calculate the Wind Stress, The Wind Stress is defined as the shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. It is the force component parallel to the surface, per unit area, as applied by the wind on the water surface. Wind Stress is denoted by τo symbol.

How to calculate Wind Stress using this online calculator? To use this online calculator for Wind Stress, enter Drag Coefficient (CD), Density of Air (ρ) & Wind Speed at Height of 10 m (V10) and hit the calculate button. Here is how the Wind Stress calculation can be explained with given input values -> 1.56453 = 0.0025*1.293*22^2.

FAQ

What is Wind Stress?
The Wind Stress is defined as the shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. It is the force component parallel to the surface, per unit area, as applied by the wind on the water surface and is represented as τo = CD*ρ*V10^2 or Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2. Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure & Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
How to calculate Wind Stress?
The Wind Stress is defined as the shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. It is the force component parallel to the surface, per unit area, as applied by the wind on the water surface is calculated using Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2. To calculate Wind Stress, you need Drag Coefficient (CD), Density of Air (ρ) & Wind Speed at Height of 10 m (V10). With our tool, you need to enter the respective value for Drag Coefficient, Density of Air & Wind Speed at Height of 10 m and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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