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Wind Stress Formula

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

τ o = C D \cdot ρ \cdot {V 10}^{2}

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

Wind Stress Example

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

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

Here is how the Wind Stress equation looks like.

1.5645 = 0.0025 \cdot 1.293 \cdot 22^{2}

1.5645Pa = 0.0025 \cdot 1.293kg/m³ \cdot {22m/s}^{2}

1.5645 = 0.0025 \cdot 1.293 \cdot 22^{2}

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Wind Stress Solution

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

FIRST Step Consider the formula

τ o = C D \cdot ρ \cdot {V 10}^{2}

Next Step Substitute values of Variables

∴

τ o = 0.0025 \cdot 1.293kg/m³ \cdot {22m/s}^{2}

Next Step Prepare to Evaluate

∴

τ o = 0.0025 \cdot 1.293 \cdot 22^{2}

Next Step Evaluate

∴

τ o = 1.56453Pa

LAST Step Rounding Answer

∴

τ o = 1.5645Pa

Wind Stress Formula Elements

Variables

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

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

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 in Forces Driving Ocean Currents category

Go Drag Coefficient given Wind Stress

C D = \frac{τ o}{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 Drag Coefficient

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

Go Magnitude of Horizontal Component of Coriolis Acceleration

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

How to Evaluate Wind Stress?

Wind Stress evaluator uses Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2 to evaluate 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 τ_o symbol.

How to evaluate Wind Stress using this online evaluator? To use this online evaluator for Wind Stress, enter Drag Coefficient (C_D), Density of Air (ρ) & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button.

FAQs on Wind Stress

What is the formula to find Wind Stress?

The formula of Wind Stress is expressed as Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2. Here is an example- 1.56453 = 0.0025*1.293*22^2.

How to calculate Wind Stress?

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

Can the Wind Stress be negative?

Yes, the Wind Stress, measured in Pressure can be negative.

Which unit is used to measure Wind Stress?

Wind Stress is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Wind Stress can be measured.

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