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Drag Coefficient given Wind Stress Formula

GoDrag Coefficient Formula

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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. Check FAQs

C D = \frac{τ o}{ρ \cdot {V 10}^{2}}

C_D - Drag Coefficient?τ_o - Wind Stress?ρ - Density of Air?V₁₀ - Wind Speed at Height of 10 m?

Drag Coefficient given Wind Stress Example

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Here is how the Drag Coefficient given Wind Stress equation looks like with Values.

Here is how the Drag Coefficient given Wind Stress equation looks like with Units.

Here is how the Drag Coefficient given Wind Stress equation looks like.

0.0024 = \frac{1.5}{1.293 \cdot 22^{2}}

0.0024 = \frac{1.5Pa}{1.293kg/m³ \cdot {22m/s}^{2}}

0.0024 = \frac{1.5}{1.293 \cdot 22^{2}}

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Drag Coefficient given Wind Stress Solution

Follow our step by step solution on how to calculate Drag Coefficient given Wind Stress?

FIRST Step Consider the formula

C D = \frac{τ o}{ρ \cdot {V 10}^{2}}

Next Step Substitute values of Variables

∴

C D = \frac{1.5Pa}{1.293kg/m³ \cdot {22m/s}^{2}}

Next Step Prepare to Evaluate

∴

C D = \frac{1.5}{1.293 \cdot 22^{2}}

Next Step Evaluate

∴

C D = 0.00239688596575329

LAST Step Rounding Answer

∴

C D = 0.0024

Drag Coefficient given Wind Stress Formula Elements

Variables

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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Wind Stress

Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.

Symbol: τ_o

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Wind Stress

Density of Air

Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air

Wind Speed at Height of 10 m

Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.

Symbol: V₁₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed at Height of 10 m

Other Formulas to find Drag Coefficient

Go Drag Coefficient

C D = 0.00075 + (0.000067 \cdot V 10)

Other formulas in Forces Driving Ocean Currents category

Go Wind Stress

τ o = C D \cdot ρ \cdot {V 10}^{2}

Go Wind Speed at Height 10 m given Wind Stress

V 10 = \sqrt{\frac{τ o}{C D \cdot ρ}}

Go Magnitude of Horizontal Component of Coriolis Acceleration

a C = 2 \cdot Ω E \cdot \sin (λ e) \cdot U

Go Latitude given Magnitude of Horizontal Component of Coriolis Acceleration

λ e = a \sin (\frac{a C}{2 \cdot Ω E \cdot U})

How to Evaluate Drag Coefficient given Wind Stress?

Drag Coefficient given Wind Stress evaluator uses Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2) to evaluate 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 evaluate Drag Coefficient given Wind Stress using this online evaluator? To use this online evaluator 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.

FAQs on Drag Coefficient given Wind Stress

What is the formula to find Drag Coefficient given Wind Stress?

The formula of Drag Coefficient given Wind Stress is expressed as Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2). Here is an example- 0.002397 = 1.5/(1.293*22^2).

How to calculate Drag Coefficient given Wind Stress?

With Wind Stress (τ_o), Density of Air (ρ) & Wind Speed at Height of 10 m (V₁₀) we can find Drag Coefficient given Wind Stress using the formula - Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2).

What are the other ways to Calculate Drag Coefficient?

Here are the different ways to Calculate Drag Coefficient-

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

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