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Cyclostrophic Approximation to Wind Speed Formula

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Cyclostrophic Approximation to Wind speed can be an approximation to the real wind in the atmosphere only near the equator. Check FAQs

U c = {(A \cdot B \cdot (p n - p c) \cdot \frac{\exp (- \frac{A}{r^{B}})}{ρ \cdot r^{B}})}^{0.5}

U_c - Cyclostrophic Approximation to Wind Speed?A - Scaling Parameter?B - Parameter Controlling Peakedness?p_n - Ambient Pressure at Periphery of Storm?p_c - Central Pressure in Storm?r - Arbitrary Radius?ρ - Density of Air?

Cyclostrophic Approximation to Wind Speed Example

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With units

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Here is how the Cyclostrophic Approximation to Wind Speed equation looks like with Values.

Here is how the Cyclostrophic Approximation to Wind Speed equation looks like with Units.

Here is how the Cyclostrophic Approximation to Wind Speed equation looks like.

0.0274 = {(50 \cdot 5 \cdot (974.9 - 965) \cdot \frac{\exp (- \frac{50}{48^{5}})}{1.293 \cdot 48^{5}})}^{0.5}

0.0274 = {(50m \cdot 5 \cdot (974.9mbar - 965mbar) \cdot \frac{\exp (- \frac{50m}{{48m}^{5}})}{1.293kg/m³ \cdot {48m}^{5}})}^{0.5}

0.0274 = {(50 \cdot 5 \cdot (974.9 - 965) \cdot \frac{\exp (- \frac{50}{48^{5}})}{1.293 \cdot 48^{5}})}^{0.5}

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Home » Engineering » Civil » Coastal and Ocean Engineering » Cyclostrophic Approximation to Wind Speed

Cyclostrophic Approximation to Wind Speed Solution

Follow our step by step solution on how to calculate Cyclostrophic Approximation to Wind Speed?

FIRST Step Consider the formula

U c = {(A \cdot B \cdot (p n - p c) \cdot \frac{\exp (- \frac{A}{r^{B}})}{ρ \cdot r^{B}})}^{0.5}

Next Step Substitute values of Variables

∴

U c = {(50m \cdot 5 \cdot (974.9mbar - 965mbar) \cdot \frac{\exp (- \frac{50m}{{48m}^{5}})}{1.293kg/m³ \cdot {48m}^{5}})}^{0.5}

Next Step Convert Units

∴

U c = {(50m \cdot 5 \cdot (97490Pa - 96500Pa) \cdot \frac{\exp (- \frac{50m}{{48m}^{5}})}{1.293kg/m³ \cdot {48m}^{5}})}^{0.5}

Next Step Prepare to Evaluate

∴

U c = {(50 \cdot 5 \cdot (97490 - 96500) \cdot \frac{\exp (- \frac{50}{48^{5}})}{1.293 \cdot 48^{5}})}^{0.5}

Next Step Evaluate

∴

U c = 0.0274084958869213

LAST Step Rounding Answer

∴

U c = 0.0274

Cyclostrophic Approximation to Wind Speed Formula Elements

Variables

Functions

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.

Symbol: U_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Scaling Parameter

Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions.

Symbol: A

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Parameter Controlling Peakedness

Parameter Controlling Peakedness of the wind speed distribution.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Ambient Pressure at Periphery of Storm

Ambient Pressure at Periphery of Storm is the pressure of the surrounding medium, such as a gas or liquid, in contact with the reference.

Symbol: p_n

Measurement: PressureUnit: mbar

Note: Value can be positive or negative.

Central Pressure in Storm

Central Pressure in Storm almost invariably refers to sea level pressure of systems.

Symbol: p_c

Measurement: PressureUnit: mbar

Note: Value can be positive or negative.

Arbitrary Radius

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.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Density of Air

Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

exp

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

Syntax: exp(Number)

Credits

Creator Image

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verifier Image

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

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How to Evaluate Cyclostrophic Approximation to Wind Speed?

Cyclostrophic Approximation to Wind Speed evaluator 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 evaluate 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 evaluate Cyclostrophic Approximation to Wind Speed using this online evaluator? To use this online evaluator 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.

FAQs on Cyclostrophic Approximation to Wind Speed

What is the formula to find Cyclostrophic Approximation to Wind Speed?

The formula of Cyclostrophic Approximation to Wind Speed is expressed as 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. Here is an example- 0.027408 = (50*5*(97490-96500)*exp(-50/48^5)/(1.293*48^5))^0.5.

How to calculate Cyclostrophic Approximation to Wind Speed?

With 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) we can find Cyclostrophic Approximation to Wind Speed using the formula - 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. This formula also uses Exponential Growth (exp) function(s).

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