Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity Calculator

✖Time required for Waves crossing Fetch under Wind Velocity to become Fetch Limited.ⓘ Time required for Waves crossing Fetch [t_x,u]			+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 [U]			+10% -10%

✖Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.ⓘ Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity [X]

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Formula

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Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity

Formula

`"X" = (("t"_{"x,u"}*"U"^0.34*"[g]"^0.33)/77.23)^(1/0.67)`

Example

`"15.11712m"=(("140s"*("4m/s")^0.34*"[g]"^0.33)/77.23)^(1/0.67)`

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Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)
X = ((t_x,u*U^0.34*[g]^0.33)/77.23)^(1/0.67)
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Straight Line Distance over which Wind Blows - (Measured in Meter) - Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.
Time required for Waves crossing Fetch - (Measured in Second) - Time required for Waves crossing Fetch under Wind Velocity to become Fetch Limited.
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.

STEP 1: Convert Input(s) to Base Unit

Time required for Waves crossing Fetch: 140 Second --> 140 Second No Conversion Required
Wind Speed: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = ((t_x,u*U^0.34*[g]^0.33)/77.23)^(1/0.67) --> ((140*4^0.34*[g]^0.33)/77.23)^(1/0.67)

Evaluating ... ...

X = 15.1171174168249

STEP 3: Convert Result to Output's Unit

15.1171174168249 Meter --> No Conversion Required

FINAL ANSWER

15.1171174168249 ≈ 15.11712 Meter <-- Straight Line Distance over which Wind Blows

(Calculation completed in 00.004 seconds)

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< 9 Wave Hindcasting and Forecasting Calculators

Spectral Energy Density or Classical Moskowitz Spectrum

Go Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)

Straight-Line Distance over which Wind Blows

Go Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)

Wind Speed given Time required for Waves crossing Fetch under Wind Velocity

Go Wind Speed = ((77.23*Straight Line Distance over which Wind Blows^0.67)/(Time required for Waves crossing Fetch*[g]^0.33))^(1/0.34)

Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity

Go Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)

Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited

Go Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33))

Spectral Energy Density

Go Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4

Water Depth for given Limiting Wave Period

Go Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5)

Limiting Wave Period

Go Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)

Drag Coefficient for Wind Speed at 10m Elevation

Go Drag Coefficient = 0.001*(1.1+(0.035*Wind Speed at Height of 10 m))

Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity Formula

Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)
X = ((t_x,u*U^0.34*[g]^0.33)/77.23)^(1/0.67)

What is Fetch Length?

In Oceanography wind fetch, also known as fetch length or simply fetch, is the length of water over which a given wind has blown without obstruction. Fetch, area of ocean or lake surface over which the wind blows in an essentially constant direction, thus generating waves. The term also is used as a synonym for fetch length, which is the horizontal distance over which wave-generating winds blow.

How to Calculate Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity?

Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity calculator uses Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67) to calculate the Straight Line Distance over which Wind Blows, The Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity formula is defined as the total stretch in a straight line for the waves to become fetch limited. Straight Line Distance over which Wind Blows is denoted by X symbol.

How to calculate Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity using this online calculator? To use this online calculator for Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity, enter Time required for Waves crossing Fetch (t_x,u) & Wind Speed (U) and hit the calculate button. Here is how the Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity calculation can be explained with given input values -> 15.11712 = ((140*4^0.34*[g]^0.33)/77.23)^(1/0.67).

FAQ

What is Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity?

The Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity formula is defined as the total stretch in a straight line for the waves to become fetch limited and is represented as X = ((t_x,u*U^0.34*[g]^0.33)/77.23)^(1/0.67) or Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67). Time required for Waves crossing Fetch under Wind Velocity to become Fetch Limited & Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

How to calculate Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity?

The Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity formula is defined as the total stretch in a straight line for the waves to become fetch limited is calculated using Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67). To calculate Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity, you need Time required for Waves crossing Fetch (t_x,u) & Wind Speed (U). With our tool, you need to enter the respective value for Time required for Waves crossing Fetch & Wind Speed 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 Straight Line Distance over which Wind Blows?

In this formula, Straight Line Distance over which Wind Blows uses Time required for Waves crossing Fetch & Wind Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)

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