Wind Speed at Height 10 m 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%
✖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 [C_D]			+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 10 m given Wind Stress [V₁₀]

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Formula

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Wind Speed at Height 10 m given Wind Stress

Formula

`"V"_{"10"} = sqrt("τ"_{"o"}/("C"_{"D"}*"ρ"))`

Example

`"21.54152m/s"=sqrt("1.5Pa"/("0.0025"*"1.293kg/m³"))`

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Wind Speed at Height 10 m given Wind Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air))
V₁₀ = sqrt(τ_o/(C_D*ρ))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
Wind Stress - (Measured in Pascal) - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Wind Stress: 1.5 Pascal --> 1.5 Pascal No Conversion Required
Drag Coefficient: 0.0025 --> No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁₀ = sqrt(τ_o/(C_D*ρ)) --> sqrt(1.5/(0.0025*1.293))

Evaluating ... ...

V₁₀ = 21.5415209066082

STEP 3: Convert Result to Output's Unit

21.5415209066082 Meter per Second --> No Conversion Required

FINAL ANSWER

21.5415209066082 ≈ 21.54152 Meter per Second <-- Wind Speed at Height of 10 m

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 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)

Wind Speed at Height 10 m given Wind Stress Formula

Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air))
V₁₀ = sqrt(τ_o/(C_D*ρ))

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.

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

Wind Speed at Height 10 m given Wind Stress calculator uses Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)) to calculate 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 calculate Wind Speed at Height 10 m given Wind Stress using this online calculator? To use this online calculator 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. Here is how the Wind Speed at Height 10 m given Wind Stress calculation can be explained with given input values -> 21.54152 = sqrt(1.5/(0.0025*1.293)).

FAQ

What is Wind Speed at Height 10 m given Wind Stress?

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 and is represented as V₁₀ = sqrt(τ_o/(C_D*ρ)) or Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)). Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water, 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 & Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

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

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 is calculated using Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air)). To calculate Wind Speed at Height 10 m given Wind Stress, you need Wind Stress (τ_o), Drag Coefficient (C_D) & Density of Air (ρ). With our tool, you need to enter the respective value for Wind Stress, Drag Coefficient & Density of Air 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 Wind Speed at Height of 10 m?

In this formula, Wind Speed at Height of 10 m uses Wind Stress, Drag Coefficient & Density of Air. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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