Geostrophic Wind Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure
Ug = (1/(ρ*f))*dpdngradient
This formula uses 4 Variables
Variables Used
Geostrophic Wind Speed - (Measured in Meter per Second) - Geostrophic Wind Speed s a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings.
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.
Coriolis Frequency - Coriolis Frequency also called the Coriolis parameter or Coriolis coefficient, is equal to twice the rotation rate Ω of the Earth multiplied by the sine of the latitude φ.
Gradient of Atmospheric Pressure - Gradient of Atmospheric Pressure orthogonal to the Isobars.
STEP 1: Convert Input(s) to Base Unit
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Coriolis Frequency: 2 --> No Conversion Required
Gradient of Atmospheric Pressure: 25.86 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ug = (1/(ρ*f))*dpdngradient --> (1/(1.293*2))*25.86
Evaluating ... ...
Ug = 10
STEP 3: Convert Result to Output's Unit
10 Meter per Second --> No Conversion Required
FINAL ANSWER
10 Meter per Second <-- Geostrophic Wind Speed
(Calculation completed in 00.004 seconds)

Credits

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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

Geostrophic Wind Speed Formula

Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure
Ug = (1/(ρ*f))*dpdngradient

What is Geostrophic Wind?

The Geostrophic wind is a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings.

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 10 m above the ground for every grid point of the model (ca. every 80 km). Generally, the actually observed wind velocity at 10 m above ground is a little bit lower than the modelled one.

How to Calculate Geostrophic Wind Speed?

Geostrophic Wind Speed calculator uses Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure to calculate the Geostrophic Wind Speed, The Geostrophic Wind Speed formula is defined as a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings. Geostrophic Wind Speed is denoted by Ug symbol.

How to calculate Geostrophic Wind Speed using this online calculator? To use this online calculator for Geostrophic Wind Speed, enter Density of Air (ρ), Coriolis Frequency (f) & Gradient of Atmospheric Pressure (dpdngradient) and hit the calculate button. Here is how the Geostrophic Wind Speed calculation can be explained with given input values -> 10 = (1/(1.293*2))*25.86.

FAQ

What is Geostrophic Wind Speed?
The Geostrophic Wind Speed formula is defined as a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings and is represented as Ug = (1/(ρ*f))*dpdngradient or Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure. Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure, Coriolis Frequency also called the Coriolis parameter or Coriolis coefficient, is equal to twice the rotation rate Ω of the Earth multiplied by the sine of the latitude φ & Gradient of Atmospheric Pressure orthogonal to the Isobars.
How to calculate Geostrophic Wind Speed?
The Geostrophic Wind Speed formula is defined as a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings is calculated using Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure. To calculate Geostrophic Wind Speed, you need Density of Air (ρ), Coriolis Frequency (f) & Gradient of Atmospheric Pressure (dpdngradient). With our tool, you need to enter the respective value for Density of Air, Coriolis Frequency & Gradient of Atmospheric Pressure 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 Geostrophic Wind Speed?
In this formula, Geostrophic Wind Speed uses Density of Air, Coriolis Frequency & Gradient of Atmospheric Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Geostrophic Wind Speed = Friction Velocity/0.0275
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