Cyclostrophic Approximation to Wind Speed Calculator

✖Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions.ⓘ Scaling Parameter [A]			+10% -10%
✖Parameter Controlling Peakedness of the wind speed distribution.ⓘ Parameter Controlling Peakedness [B]			+10% -10%
✖Ambient Pressure at Periphery of Storm is the pressure of the surrounding medium, such as a gas or liquid, in contact with the reference.ⓘ Ambient Pressure at Periphery of Storm [p_n]			+10% -10%
✖Central Pressure in Storm almost invariably refers to sea level pressure of systems.ⓘ Central Pressure in Storm [p_c]			+10% -10%
✖Arbitrary Radius of the point on the circle closest to the origin must lie on the extended line connecting the circle's center and the origin.ⓘ Arbitrary Radius [r]			+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%

✖Cyclostrophic Approximation to Wind speed can be an approximation to the real wind in the atmosphere only near the equator.ⓘ Cyclostrophic Approximation to Wind Speed [U_c]

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Cyclostrophic Approximation to Wind Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cyclostrophic Approximation to Wind Speed = (Scaling Parameter*Parameter Controlling Peakedness*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)/(Density of Air*Arbitrary Radius^Parameter Controlling Peakedness))^0.5
U_c = (A*B*(p_n-p_c)*exp(-A/r^B)/(ρ*r^B))^0.5
This formula uses 1 Functions, 7 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Cyclostrophic Approximation to Wind Speed - Cyclostrophic Approximation to Wind speed can be an approximation to the real wind in the atmosphere only near the equator.
Scaling Parameter - (Measured in Meter) - Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions.
Parameter Controlling Peakedness - Parameter Controlling Peakedness of the wind speed distribution.
Ambient Pressure at Periphery of Storm - (Measured in Pascal) - Ambient Pressure at Periphery of Storm is the pressure of the surrounding medium, such as a gas or liquid, in contact with the reference.
Central Pressure in Storm - (Measured in Pascal) - Central Pressure in Storm almost invariably refers to sea level pressure of systems.
Arbitrary Radius - (Measured in Meter) - Arbitrary Radius of the point on the circle closest to the origin must lie on the extended line connecting the circle's center and the origin.
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

Scaling Parameter: 50 Meter --> 50 Meter No Conversion Required
Parameter Controlling Peakedness: 5 --> No Conversion Required
Ambient Pressure at Periphery of Storm: 974.9 Millibar --> 97490 Pascal (Check conversion here)
Central Pressure in Storm: 965 Millibar --> 96500 Pascal (Check conversion here)
Arbitrary Radius: 48 Meter --> 48 Meter 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

U_c = (A*B*(p_n-p_c)*exp(-A/r^B)/(ρ*r^B))^0.5 --> (50*5*(97490-96500)*exp(-50/48^5)/(1.293*48^5))^0.5

Evaluating ... ...

U_c = 0.0274084958869213

STEP 3: Convert Result to Output's Unit

0.0274084958869213 --> No Conversion Required

FINAL ANSWER

0.0274084958869213 ≈ 0.027408 <-- Cyclostrophic Approximation to Wind Speed

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Measured Wind Directions Calculators

Ambient Pressure at Periphery of Storm

LaTeX Go Ambient Pressure at Periphery of Storm = ((Pressure at Radius-Central Pressure in Storm)/exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness))+Central Pressure in Storm

Pressure Profile in Hurricane Winds

LaTeX Go Pressure at Radius = Central Pressure in Storm+(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)

Direction in Standard Meteorological Terms

LaTeX Go Direction in Standard Meteorological Terms = 270-Direction in Cartesian Coordinate system

Direction in Cartesian Coordinate System

LaTeX Go Direction in Cartesian Coordinate system = 270-Direction in Standard Meteorological Terms

Cyclostrophic Approximation to Wind Speed Formula

LaTeX Go

What is Geostrophic wind?

The Geostrophic flow is the theoretical wind that would result from an exact balance between the Coriolis force and the pressure gradient force. This condition is called geostrophic equilibrium or geostrophic balance. The geostrophic wind is directed parallel to isobars. This balance seldom holds exactly in nature.

How to Calculate Cyclostrophic Approximation to Wind Speed?

Cyclostrophic Approximation to Wind Speed calculator uses Cyclostrophic Approximation to Wind Speed = (Scaling Parameter*Parameter Controlling Peakedness*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)/(Density of Air*Arbitrary Radius^Parameter Controlling Peakedness))^0.5 to calculate the Cyclostrophic Approximation to Wind Speed, The Cyclostrophic Approximation to Wind Speed formula is defined as it can be an approximation to the real wind in the atmosphere only near the equator, where Coriolis acceleration is small; or in cases of very great wind speed and curvature of a path (such as a tornado or hurricane), so that centripetal acceleration is dominant one. Cyclostrophic Approximation to Wind Speed is denoted by U_c symbol.

How to calculate Cyclostrophic Approximation to Wind Speed using this online calculator? To use this online calculator for Cyclostrophic Approximation to Wind Speed, enter Scaling Parameter (A), Parameter Controlling Peakedness (B), Ambient Pressure at Periphery of Storm (p_n), Central Pressure in Storm (p_c), Arbitrary Radius (r) & Density of Air (ρ) and hit the calculate button. Here is how the Cyclostrophic Approximation to Wind Speed calculation can be explained with given input values -> 0.027408 = (50*5*(97490-96500)*exp(-50/48^5)/(1.293*48^5))^0.5.

FAQ

What is Cyclostrophic Approximation to Wind Speed?

The Cyclostrophic Approximation to Wind Speed formula is defined as it can be an approximation to the real wind in the atmosphere only near the equator, where Coriolis acceleration is small; or in cases of very great wind speed and curvature of a path (such as a tornado or hurricane), so that centripetal acceleration is dominant one and is represented as U_c = (A*B*(p_n-p_c)*exp(-A/r^B)/(ρ*r^B))^0.5 or Cyclostrophic Approximation to Wind Speed = (Scaling Parameter*Parameter Controlling Peakedness*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)/(Density of Air*Arbitrary Radius^Parameter Controlling Peakedness))^0.5. Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions, Parameter Controlling Peakedness of the wind speed distribution, Ambient Pressure at Periphery of Storm is the pressure of the surrounding medium, such as a gas or liquid, in contact with the reference, Central Pressure in Storm almost invariably refers to sea level pressure of systems, Arbitrary Radius of the point on the circle closest to the origin must lie on the extended line connecting the circle's center and the origin & Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

How to calculate Cyclostrophic Approximation to Wind Speed?

The Cyclostrophic Approximation to Wind Speed formula is defined as it can be an approximation to the real wind in the atmosphere only near the equator, where Coriolis acceleration is small; or in cases of very great wind speed and curvature of a path (such as a tornado or hurricane), so that centripetal acceleration is dominant one is calculated using Cyclostrophic Approximation to Wind Speed = (Scaling Parameter*Parameter Controlling Peakedness*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)/(Density of Air*Arbitrary Radius^Parameter Controlling Peakedness))^0.5. To calculate Cyclostrophic Approximation to Wind Speed, you need Scaling Parameter (A), Parameter Controlling Peakedness (B), Ambient Pressure at Periphery of Storm (p_n), Central Pressure in Storm (p_c), Arbitrary Radius (r) & Density of Air (ρ). With our tool, you need to enter the respective value for Scaling Parameter, Parameter Controlling Peakedness, Ambient Pressure at Periphery of Storm, Central Pressure in Storm, Arbitrary Radius & Density of Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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