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Wind Speed at Height 10 m given Wind Stress Formula

GoWind Speed at Height 10 m for Drag Coefficient Formula

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

V 10 = \sqrt{\frac{τ o}{C D \cdot ρ}}

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

Wind Speed at Height 10 m given Wind Stress Example

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Here is how the Wind Speed at Height 10 m given Wind Stress equation looks like with Values.

Here is how the Wind Speed at Height 10 m given Wind Stress equation looks like with Units.

Here is how the Wind Speed at Height 10 m given Wind Stress equation looks like.

21.5415 = \sqrt{\frac{1.5}{0.0025 \cdot 1.293}}

21.5415m/s = \sqrt{\frac{1.5Pa}{0.0025 \cdot 1.293kg/m³}}

21.5415 = \sqrt{\frac{1.5}{0.0025 \cdot 1.293}}

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Wind Speed at Height 10 m given Wind Stress Solution

Follow our step by step solution on how to calculate Wind Speed at Height 10 m given Wind Stress?

FIRST Step Consider the formula

V 10 = \sqrt{\frac{τ o}{C D \cdot ρ}}

Next Step Substitute values of Variables

∴

V 10 = \sqrt{\frac{1.5Pa}{0.0025 \cdot 1.293kg/m³}}

Next Step Prepare to Evaluate

∴

V 10 = \sqrt{\frac{1.5}{0.0025 \cdot 1.293}}

Next Step Evaluate

∴

V 10 = 21.5415209066082m/s

LAST Step Rounding Answer

∴

V 10 = 21.5415m/s

Wind Speed at Height 10 m given Wind Stress Formula Elements

Variables

Functions

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Wind Speed at Height of 10 m

Go Wind Speed at Height 10 m for Drag Coefficient

V 10 = \frac{C D - 0.00075}{0.000067}

Other formulas in Forces Driving Ocean Currents category

Go Wind Stress

τ o = C D \cdot ρ \cdot {V 10}^{2}

Go Drag Coefficient given Wind Stress

C D = \frac{τ o}{ρ \cdot {V 10}^{2}}

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 Speed at Height 10 m given Wind Stress?

Wind Speed at Height 10 m given Wind Stress evaluator uses Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)) to evaluate the Wind Speed at Height of 10 m, The Wind Speed at Height 10 m given Wind Stress is defined as ten-meter wind speed measured ten meters above top of datum of consideration. Wind Speed at Height of 10 m is denoted by V₁₀ symbol.

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

FAQs on Wind Speed at Height 10 m given Wind Stress

What is the formula to find Wind Speed at Height 10 m given Wind Stress?

The formula of Wind Speed at Height 10 m given Wind Stress is expressed as Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)). Here is an example- 21.54152 = sqrt(1.5/(0.0025*1.293)).

How to calculate Wind Speed at Height 10 m given Wind Stress?

With Wind Stress (τ_o), Drag Coefficient (C_D) & Density of Air (ρ) we can find Wind Speed at Height 10 m given Wind Stress using the formula - Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Wind Speed at Height of 10 m?

Here are the different ways to Calculate Wind Speed at Height of 10 m-

Wind Speed at Height of 10 m=(Drag Coefficient-0.00075)/0.000067

Can the Wind Speed at Height 10 m given Wind Stress be negative?

No, the Wind Speed at Height 10 m given Wind Stress, measured in Speed cannot be negative.

Which unit is used to measure Wind Speed at Height 10 m given Wind Stress?

Wind Speed at Height 10 m given Wind Stress is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Wind Speed at Height 10 m given Wind Stress can be measured.

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