Wind Speed given Coefficient of Drag at 10-m Reference Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
U = sqrt(τo/CDZ)
This formula uses 1 Functions, 3 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 - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.
Wind Stress - (Measured in Pascal) - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.
Coefficient of Drag to 10m Reference Level - Coefficient of Drag to 10m Reference Level is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
STEP 1: Convert Input(s) to Base Unit
Wind Stress: 1.5 Pascal --> 1.5 Pascal No Conversion Required
Coefficient of Drag to 10m Reference Level: 0.09375 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = sqrt(τo/CDZ) --> sqrt(1.5/0.09375)
Evaluating ... ...
U = 4
STEP 3: Convert Result to Output's Unit
4 Meter per Second --> No Conversion Required
FINAL ANSWER
4 Meter per Second <-- Wind Speed
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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24 Estimating Marine and Coastal Winds Calculators

Wind Speed at Height above Surface in form of near Surface Wind Profile
Go Wind Speed = (Friction Velocity/Von Kármán Constant)*(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length))
Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant
Go Coefficient of Drag = (Von Kármán Constant/(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length)))^2
Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed
Go Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency))
Friction Velocity given Wind Speed at Height above Surface
Go Friction Velocity = Von Kármán Constant*(Wind Speed/(ln(Height z above Surface/Roughness Height of Surface)))
Wind Speed at Height z above Surface
Go Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
Wind Stress in Parametric Form
Go Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
Friction Velocity given Wind Stress
Go Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density))
Gradient of Atmospheric Pressure Orthogonal to Isobars
Go Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency))
Geostrophic Wind Speed
Go Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure
Friction Velocity given Height of Boundary Layer in Non-Equatorial Regions
Go Friction Velocity = (Height of Boundary Layer*Coriolis Frequency)/Dimensionless Constant
Height of Boundary layer in Non-Equatorial Regions
Go Height of Boundary Layer = Dimensionless Constant*(Friction Velocity/Coriolis Frequency)
Wind Speed given Coefficient of Drag at 10-m Reference Level
Go Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
Wind Stress given Friction Velocity
Go Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
Wind Speed at Height z above Surface given Standard Reference Wind Speed
Go Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7)
Wind Speed at Standard 10-m Reference Level
Go Wind Speed at Height of 10 m = Wind Speed*(10/Height z above Surface)^(1/7)
Height z above Surface given Standard Reference Wind Speed
Go Height z above Surface = 10/(Wind Speed at Height of 10 m/Wind Speed)^7
Rate of Momentum Transfer at Standard Reference Height for Winds
Go Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2
Coefficient of Drag at 10m Reference Level given Wind Stress
Go Coefficient of Drag to 10m Reference Level = Wind Stress/Wind Speed^2
Air-Sea Temperature Difference
Go Air-Sea Temperature Difference = (Air Temperature-Water Temperature)
Water Temperature given Air-Sea Temperature Difference
Go Water Temperature = Air Temperature-Air-Sea Temperature Difference
Air Temperature given Air-Sea Temperature Difference
Go Air Temperature = Air-Sea Temperature Difference+Water Temperature
Coefficient of Drag for Winds Influenced by Stability Effects
Go Coefficient of Drag = (Friction Velocity/Wind Speed)^2
Friction Velocity of Wind in Neutral Stratification as Function of Geostrophic Wind Speed
Go Friction Velocity = 0.0275*Geostrophic Wind Speed
Geostrophic Wind Speed given Friction Velocity in Neutral Stratification
Go Geostrophic Wind Speed = Friction Velocity/0.0275

Wind Speed given Coefficient of Drag at 10-m Reference Level Formula

Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
U = sqrt(τo/CDZ)

What is 10m Wind?

Surface wind is the wind blowing near the Earth's surface. The wind 10m chart displays the modelled average wind vector in 10 m above the ground for every grid point of the model (ca. every 80 km). Generally, the actual observed wind velocity at 10 m above ground is a little bit lower than the modelled one.

What is Friction Velocity?

Shear velocity, also called friction velocity, is a form by which shear stress may be rewritten in units of velocity. It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

How to Calculate Wind Speed given Coefficient of Drag at 10-m Reference Level?

Wind Speed given Coefficient of Drag at 10-m Reference Level calculator uses Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level) to calculate the Wind Speed, Wind Speed given Coefficient of Drag at 10-m Reference Level formula is defined as the quantity caused by air moving from high to low pressure, usually due to changes in temperature. Wind Speed is denoted by U symbol.

How to calculate Wind Speed given Coefficient of Drag at 10-m Reference Level using this online calculator? To use this online calculator for Wind Speed given Coefficient of Drag at 10-m Reference Level, enter Wind Stress o) & Coefficient of Drag to 10m Reference Level (CDZ) and hit the calculate button. Here is how the Wind Speed given Coefficient of Drag at 10-m Reference Level calculation can be explained with given input values -> 4 = sqrt(1.5/0.09375).

FAQ

What is Wind Speed given Coefficient of Drag at 10-m Reference Level?
Wind Speed given Coefficient of Drag at 10-m Reference Level formula is defined as the quantity caused by air moving from high to low pressure, usually due to changes in temperature and is represented as U = sqrt(τo/CDZ) or Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level). Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water & Coefficient of Drag to 10m Reference Level is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
How to calculate Wind Speed given Coefficient of Drag at 10-m Reference Level?
Wind Speed given Coefficient of Drag at 10-m Reference Level formula is defined as the quantity caused by air moving from high to low pressure, usually due to changes in temperature is calculated using Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level). To calculate Wind Speed given Coefficient of Drag at 10-m Reference Level, you need Wind Stress o) & Coefficient of Drag to 10m Reference Level (CDZ). With our tool, you need to enter the respective value for Wind Stress & Coefficient of Drag to 10m Reference Level 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?
In this formula, Wind Speed uses Wind Stress & Coefficient of Drag to 10m Reference Level. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7)
  • Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
  • Wind Speed = (Friction Velocity/Von Kármán Constant)*(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length))
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