Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed Calculator

✖Gradient Wind Speed is the vertical gradient of the mean horizontal wind speed in the lower atmosphere.ⓘ Gradient Wind Speed [U_gr]			+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%
✖Radius of Curvature of Isobars which is a line on a map connecting points having the same atmospheric pressure at a given time or on average over a given period.ⓘ Radius of Curvature of Isobars [r_c]			+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%

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

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Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency))
dpdn_gradient = (U_gr-(U_gr^2/(f*r_c)))/(1/(ρ*f))
This formula uses 5 Variables

Variables Used

Gradient of Atmospheric Pressure - Gradient of Atmospheric Pressure orthogonal to the Isobars.
Gradient Wind Speed - (Measured in Meter per Second) - Gradient Wind Speed is the vertical gradient of the mean horizontal wind speed in the lower atmosphere.
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.
Radius of Curvature of Isobars - (Measured in Meter) - Radius of Curvature of Isobars which is a line on a map connecting points having the same atmospheric pressure at a given time or on average over a given period.
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

Gradient Wind Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Coriolis Frequency: 2 --> No Conversion Required
Radius of Curvature of Isobars: 50 Kilometer --> 50000 Meter (Check conversion here)
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

dpdn_gradient = (U_gr-(U_gr^2/(f*r_c)))/(1/(ρ*f)) --> (10-(10^2/(2*50000)))/(1/(1.293*2))

Evaluating ... ...

dpdn_gradient = 25.857414

STEP 3: Convert Result to Output's Unit

25.857414 --> No Conversion Required

FINAL ANSWER

25.857414 ≈ 25.85741 <-- Gradient of Atmospheric Pressure

(Calculation completed in 00.020 seconds)

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< Estimating Marine and Coastal Winds Calculators

Wind Speed at Height z above Surface

LaTeX Go Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)

Wind Speed at Height z above Surface given Standard Reference Wind Speed

LaTeX 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

LaTeX 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

LaTeX Go Height z above Surface = 10/(Wind Speed at Height of 10 m/Wind Speed)^7

Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed Formula

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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 given Gradient Wind Speed?

Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed calculator uses Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency)) to calculate the Gradient of Atmospheric Pressure, The Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed formula is defined as the vertical gradient of the mean horizontal wind speed in the lower atmosphere. Gradient of Atmospheric Pressure is denoted by dpdn_gradient symbol.

How to calculate Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed using this online calculator? To use this online calculator for Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed, enter Gradient Wind Speed (U_gr), Coriolis Frequency (f), Radius of Curvature of Isobars (r_c) & Density of Air (ρ) and hit the calculate button. Here is how the Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed calculation can be explained with given input values -> 25.85741 = (10-(10^2/(2*50000)))/(1/(1.293*2)).

FAQ

What is Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed?

The Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed formula is defined as the vertical gradient of the mean horizontal wind speed in the lower atmosphere and is represented as dpdn_gradient = (U_gr-(U_gr^2/(f*r_c)))/(1/(ρ*f)) or Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency)). Gradient Wind Speed is the vertical gradient of the mean horizontal wind speed in the lower atmosphere, 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, Radius of Curvature of Isobars which is a line on a map connecting points having the same atmospheric pressure at a given time or on average over a given period & Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

How to calculate Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed?

The Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed formula is defined as the vertical gradient of the mean horizontal wind speed in the lower atmosphere is calculated using Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency)). To calculate Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed, you need Gradient Wind Speed (U_gr), Coriolis Frequency (f), Radius of Curvature of Isobars (r_c) & Density of Air (ρ). With our tool, you need to enter the respective value for Gradient Wind Speed, Coriolis Frequency, Radius of Curvature of Isobars & 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 Gradient of Atmospheric Pressure?

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

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

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