Drag Coefficient given Wind Stress Calculator

✖Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.ⓘ Wind Stress [τ_o]			+10% -10%
✖Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.ⓘ Density of Air [ρ]			+10% -10%
✖Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.ⓘ Wind Speed at Height of 10 m [V₁₀]			+10% -10%

✖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.ⓘ Drag Coefficient given Wind Stress [C_D]

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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)
C_D = τ_o/(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

C_D = τ_o/(ρ*V₁₀^2) --> 1.5/(1.293*22^2)

Evaluating ... ...

C_D = 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)

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< Forces Driving Ocean Currents Calculators

Wind Speed at Height 10 m given Wind Stress

LaTeX Go Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air))

Drag Coefficient given Wind Stress

LaTeX Go Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2)

Wind Stress

LaTeX Go Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2

Drag Coefficient

LaTeX Go Drag Coefficient = 0.00075+(0.000067*Wind Speed at Height of 10 m)

Drag Coefficient given Wind Stress Formula

LaTeX Go

Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2)
C_D = τ_o/(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 C_D 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 (τ_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 C_D = τ_o/(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 (τ_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)

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