Gradient of Atmospheric Pressure Orthogonal to Isobars Calculator

✖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.ⓘ Geostrophic Wind Speed [U_g]			+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%
✖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.ⓘ Coriolis Frequency [f]			+10% -10%

✖Gradient of Atmospheric Pressure orthogonal to the Isobars.ⓘ Gradient of Atmospheric Pressure Orthogonal to Isobars [dpdn_gradient]

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Formula

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Gradient of Atmospheric Pressure Orthogonal to Isobars

Formula

`"dpdn"_{"gradient"} = "U"_{"g"}/(1/("ρ"*"f"))`

Example

`"25.83414"="9.99m/s"/(1/("1.293kg/m³"*"2"))`

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Gradient of Atmospheric Pressure Orthogonal to Isobars Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency))
dpdn_gradient = U_g/(1/(ρ*f))
This formula uses 4 Variables

Variables Used

Gradient of Atmospheric Pressure - Gradient of Atmospheric Pressure orthogonal to the Isobars.
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.

STEP 1: Convert Input(s) to Base Unit

Geostrophic Wind Speed: 9.99 Meter per Second --> 9.99 Meter per Second No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Coriolis Frequency: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dpdn_gradient = U_g/(1/(ρ*f)) --> 9.99/(1/(1.293*2))

Evaluating ... ...

dpdn_gradient = 25.83414

STEP 3: Convert Result to Output's Unit

25.83414 --> No Conversion Required

FINAL ANSWER

25.83414 <-- Gradient of Atmospheric Pressure

(Calculation completed in 00.008 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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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

Gradient of Atmospheric Pressure Orthogonal to Isobars Formula

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

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 Gradient of Atmospheric Pressure Orthogonal to Isobars?

Gradient of Atmospheric Pressure Orthogonal to Isobars calculator uses Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency)) to calculate the Gradient of Atmospheric Pressure, The Gradient of Atmospheric Pressure Orthogonal to Isobars formula is defined as the rate of change (gradient) of atmospheric (barometric) pressure with regard to horizontal distance at a given point in time. Gradient of Atmospheric Pressure is denoted by dpdn_gradient symbol.

How to calculate Gradient of Atmospheric Pressure Orthogonal to Isobars using this online calculator? To use this online calculator for Gradient of Atmospheric Pressure Orthogonal to Isobars, enter Geostrophic Wind Speed (U_g), Density of Air (ρ) & Coriolis Frequency (f) and hit the calculate button. Here is how the Gradient of Atmospheric Pressure Orthogonal to Isobars calculation can be explained with given input values -> 25.83414 = 9.99/(1/(1.293*2)).

FAQ

What is Gradient of Atmospheric Pressure Orthogonal to Isobars?

The Gradient of Atmospheric Pressure Orthogonal to Isobars formula is defined as the rate of change (gradient) of atmospheric (barometric) pressure with regard to horizontal distance at a given point in time and is represented as dpdn_gradient = U_g/(1/(ρ*f)) or Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency)). 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 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.

How to calculate Gradient of Atmospheric Pressure Orthogonal to Isobars?

The Gradient of Atmospheric Pressure Orthogonal to Isobars formula is defined as the rate of change (gradient) of atmospheric (barometric) pressure with regard to horizontal distance at a given point in time is calculated using Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency)). To calculate Gradient of Atmospheric Pressure Orthogonal to Isobars, you need Geostrophic Wind Speed (U_g), Density of Air (ρ) & Coriolis Frequency (f). With our tool, you need to enter the respective value for Geostrophic Wind Speed, Density of Air & Coriolis Frequency 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 Gradient of Atmospheric Pressure?

In this formula, Gradient of Atmospheric Pressure uses Geostrophic Wind Speed, Density of Air & Coriolis Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency))

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