Drag Coefficient given Wind Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2)
CD = τo/(ρ*V10^2)
This formula uses 4 Variables
Variables Used
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.
Wind Stress - (Measured in Pascal) - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of 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
Wind Stress: 1.5 Pascal --> 1.5 Pascal 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
CD = τo/(ρ*V10^2) --> 1.5/(1.293*22^2)
Evaluating ... ...
CD = 0.00239688596575329
STEP 3: Convert Result to Output's Unit
0.00239688596575329 --> No Conversion Required
FINAL ANSWER
0.00239688596575329 0.002397 <-- Drag Coefficient
(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!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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)

Drag Coefficient given Wind Stress Formula

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

What is Wind Stress?

In Physical Oceanography and Fluid Dynamics, the wind stress is 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.

What factors influence drag coefficient?

Drag force coefficient depends on the shape and size of the object and is found out experimentally. The factors affecting Drag Force are Shape and size of the object, velocity and direction of flow, and Mass, viscosity, and compressibility of air.

How to Calculate Drag Coefficient given Wind Stress?

Drag Coefficient given Wind Stress calculator uses Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2) to calculate the Drag Coefficient, The Drag Coefficient given Wind Stress formula is defined as a dimensionless quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water. Drag Coefficient is denoted by CD symbol.

How to calculate Drag Coefficient given Wind Stress using this online calculator? To use this online calculator for Drag Coefficient given Wind Stress, enter Wind Stress o), Density of Air (ρ) & Wind Speed at Height of 10 m (V10) and hit the calculate button. Here is how the Drag Coefficient given Wind Stress calculation can be explained with given input values -> 0.002397 = 1.5/(1.293*22^2).

FAQ

What is Drag Coefficient given Wind Stress?
The Drag Coefficient given Wind Stress formula is defined as a dimensionless quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water and is represented as CD = τo/(ρ*V10^2) or Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2). Wind Stress is the shear stress exerted by the wind on the surface of large bodies of 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 Drag Coefficient given Wind Stress?
The Drag Coefficient given Wind Stress formula is defined as a dimensionless quantity that is used to quantify drag or resistance of object in fluid environment, such as air or water is calculated using Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2). To calculate Drag Coefficient given Wind Stress, you need Wind Stress o), Density of Air (ρ) & Wind Speed at Height of 10 m (V10). With our tool, you need to enter the respective value for Wind Stress, 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.
How many ways are there to calculate Drag Coefficient?
In this formula, Drag Coefficient uses Wind Stress, Density of Air & Wind Speed at Height of 10 m. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drag Coefficient = 0.00075+(0.000067*Wind Speed at Height of 10 m)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!