Wind Speed given Fully Developed Wave Height Calculator

✖Fully Developed Wave Height evolved under the action of wind.ⓘ Fully Developed Wave Height [H_∞]			+10% -10%
✖Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.ⓘ Dimensionless Constant [λ]			+10% -10%

✖Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.ⓘ Wind Speed given Fully Developed Wave Height [U]

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Formula

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Wind Speed given Fully Developed Wave Height

Formula

`"U" = sqrt("H"_{"∞"}*"[g]"/"λ")`

Example

`"3.991968m/s"=sqrt("2.6m"*"[g]"/"1.6")`

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Download Estimating Marine and Coastal Winds Formulas PDF

Wind Speed given Fully Developed Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant)
U = sqrt(H_∞*[g]/λ)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wind Speed - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.
Fully Developed Wave Height - (Measured in Meter) - Fully Developed Wave Height evolved under the action of wind.
Dimensionless Constant - Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.

STEP 1: Convert Input(s) to Base Unit

Fully Developed Wave Height: 2.6 Meter --> 2.6 Meter No Conversion Required
Dimensionless Constant: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = sqrt(H_∞*[g]/λ) --> sqrt(2.6*[g]/1.6)

Evaluating ... ...

U = 3.99196771655283

STEP 3: Convert Result to Output's Unit

3.99196771655283 Meter per Second --> No Conversion Required

FINAL ANSWER

3.99196771655283 ≈ 3.991968 Meter per Second <-- Wind Speed

(Calculation completed in 00.004 seconds)

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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

Wind Speed given Fully Developed Wave Height Formula

Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant)
U = sqrt(H_∞*[g]/λ)

What is Wave Height?

In fluid dynamics, the wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering.

How to Calculate Wind Speed given Fully Developed Wave Height?

Wind Speed given Fully Developed Wave Height calculator uses Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant) to calculate the Wind Speed, The Wind Speed given Fully Developed Wave Height formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature. Wind Speed is denoted by U symbol.

How to calculate Wind Speed given Fully Developed Wave Height using this online calculator? To use this online calculator for Wind Speed given Fully Developed Wave Height, enter Fully Developed Wave Height (H_∞) & Dimensionless Constant (λ) and hit the calculate button. Here is how the Wind Speed given Fully Developed Wave Height calculation can be explained with given input values -> 3.991968 = sqrt(2.6*[g]/1.6).

FAQ

What is Wind Speed given Fully Developed Wave Height?

The Wind Speed given Fully Developed Wave Height formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature and is represented as U = sqrt(H_∞*[g]/λ) or Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant). Fully Developed Wave Height evolved under the action of wind & Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.

How to calculate Wind Speed given Fully Developed Wave Height?

The Wind Speed given Fully Developed Wave Height formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature is calculated using Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant). To calculate Wind Speed given Fully Developed Wave Height, you need Fully Developed Wave Height (H_∞) & Dimensionless Constant (λ). With our tool, you need to enter the respective value for Fully Developed Wave Height & Dimensionless Constant 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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