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 = ((tx,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 = ((tx,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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Spectral Energy Density or Classical Moskowitz Spectrum
​ LaTeX ​ Go Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)
Wind Speed given Time required for Waves crossing Fetch under Wind Velocity
​ LaTeX ​ 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)
Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited
​ LaTeX ​ 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
​ LaTeX ​ Go Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4

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

​LaTeX ​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)
X = ((tx,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 (tx,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 = ((tx,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 (tx,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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