Pressure Profile in Hurricane Winds Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
p = pc+(pn-pc)*exp(-A/r^B)
This formula uses 1 Functions, 6 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
Pressure at Radius - (Measured in Pascal) - Pressure at radius 'r' (arbitrary radius) defining the normalized hurricane pressure profiles In the Holland model.
Central Pressure in Storm - (Measured in Pascal) - Central Pressure in Storm almost invariably refers to sea level pressure of systems.
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.
Scaling Parameter - (Measured in Meter) - Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions.
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.
Parameter Controlling Peakedness - Parameter Controlling Peakedness of the wind speed distribution.
STEP 1: Convert Input(s) to Base Unit
Central Pressure in Storm: 965 Millibar --> 96500 Pascal (Check conversion here)
Ambient Pressure at Periphery of Storm: 974.9 Millibar --> 97490 Pascal (Check conversion here)
Scaling Parameter: 50 Meter --> 50 Meter No Conversion Required
Arbitrary Radius: 48 Meter --> 48 Meter No Conversion Required
Parameter Controlling Peakedness: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = pc+(pn-pc)*exp(-A/r^B) --> 96500+(97490-96500)*exp(-50/48^5)
Evaluating ... ...
p = 97489.999805733
STEP 3: Convert Result to Output's Unit
97489.999805733 Pascal -->974.89999805733 Millibar (Check conversion here)
FINAL ANSWER
974.89999805733 974.9 Millibar <-- Pressure at Radius
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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19 Measured Wind Directions Calculators

Cyclostrophic Approximation to Wind Speed
Go 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
Ambient Pressure at Periphery of Storm
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
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)
Maximum Velocity in Storm
Go Maximum Velocity of Wind = (Parameter Controlling Peakedness/Density of Air*e)^0.5*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)^0.5
Friction Velocity given Dimensionless Fetch
Go Friction Velocity = sqrt([g]*Straight Line Distance over which Wind Blows/Dimensionless Fetch)
Friction Velocity given Dimensionless Wave Height
Go Friction Velocity = sqrt(([g]*Characteristic Wave Height)/Dimensionless Wave Height)
Wind Speed given Fully Developed Wave Height
Go Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant)
Dimensionless Fetch given Fetch-limited Dimensionless Wave Height
Go Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)
Fetch-Limited Dimensionless Wave Height
Go Dimensionless Wave Height = Dimensionless Constant*(Dimensionless Fetch^Dimensionless Exponent)
Dimensionless Fetch
Go Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2)
Frequency of Spectral Peak for Dimensionless Wave Frequency
Go Frequency at Spectral Peak = (Dimensionless Wave Frequency*[g])/Friction Velocity
Friction Velocity for Dimensionless Wave Frequency
Go Friction Velocity = (Dimensionless Wave Frequency*[g])/Frequency at Spectral Peak
Dimensionless Wave Frequency
Go Dimensionless Wave Frequency = (Friction Velocity*Frequency at Spectral Peak)/[g]
Characteristic Wave Height given Dimensionless Wave Height
Go Characteristic Wave Height = (Dimensionless Wave Height*Friction Velocity^2)/[g]
Dimensionless Wave Height
Go Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2
Fully Developed Wave Height
Go Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]
Distance from Center of Storm Circulation to Location of Maximum Wind Speed
Go Distance from Center of Storm Circulation = Scaling Parameter^(1/Parameter Controlling Peakedness)
Direction in Standard Meteorological Terms
Go Direction in Standard Meteorological Terms = 270-Direction in Cartesian Coordinate system
Direction in Cartesian Coordinate System
Go Direction in Cartesian Coordinate system = 270-Direction in Standard Meteorological Terms

Pressure Profile in Hurricane Winds Formula

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)
p = pc+(pn-pc)*exp(-A/r^B)

Is a Hurricane High or Low Pressure?

Hurricanes are powerhouse weather events that suck heat from tropical waters to fuel their fury. These violent storms form over the ocean, often beginning as a tropical wave—a low pressure area that moves through the moisture-rich tropics, possibly enhancing shower and thunderstorm activity.

How to Calculate Pressure Profile in Hurricane Winds?

Pressure Profile in Hurricane Winds calculator uses 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) to calculate the Pressure at Radius, The Pressure Profile in Hurricane Winds formula is defined as Low-pressure systems generally producing high winds, warmer air, and atmospheric lift-ideal ingredients for a tropical storm. Pressure at Radius is denoted by p symbol.

How to calculate Pressure Profile in Hurricane Winds using this online calculator? To use this online calculator for Pressure Profile in Hurricane Winds, enter Central Pressure in Storm (pc), Ambient Pressure at Periphery of Storm (pn), Scaling Parameter (A), Arbitrary Radius (r) & Parameter Controlling Peakedness (B) and hit the calculate button. Here is how the Pressure Profile in Hurricane Winds calculation can be explained with given input values -> 9.749 = 96500+(97490-96500)*exp(-50/48^5).

FAQ

What is Pressure Profile in Hurricane Winds?
The Pressure Profile in Hurricane Winds formula is defined as Low-pressure systems generally producing high winds, warmer air, and atmospheric lift-ideal ingredients for a tropical storm and is represented as p = pc+(pn-pc)*exp(-A/r^B) or 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). Central Pressure in Storm almost invariably refers to sea level pressure of systems, Ambient Pressure at Periphery of Storm is the pressure of the surrounding medium, such as a gas or liquid, in contact with the reference, Scaling Parameter is a special kind of numerical parameter of a parametric family of probability distributions, 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 & Parameter Controlling Peakedness of the wind speed distribution.
How to calculate Pressure Profile in Hurricane Winds?
The Pressure Profile in Hurricane Winds formula is defined as Low-pressure systems generally producing high winds, warmer air, and atmospheric lift-ideal ingredients for a tropical storm is calculated using 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). To calculate Pressure Profile in Hurricane Winds, you need Central Pressure in Storm (pc), Ambient Pressure at Periphery of Storm (pn), Scaling Parameter (A), Arbitrary Radius (r) & Parameter Controlling Peakedness (B). With our tool, you need to enter the respective value for Central Pressure in Storm, Ambient Pressure at Periphery of Storm, Scaling Parameter, Arbitrary Radius & Parameter Controlling Peakedness 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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