Water Depth for given Limiting Wave Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5)
Dw = [g]*(Tp/9.78)^(1/0.5)
This formula uses 1 Constants, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Water Depth from Bed - (Measured in Meter) - Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.
Limiting Wave Period - (Measured in Second) - Limiting Wave Period is defined as the parameter of wave mechanics.
STEP 1: Convert Input(s) to Base Unit
Limiting Wave Period: 21 Second --> 21 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dw = [g]*(Tp/9.78)^(1/0.5) --> [g]*(21/9.78)^(1/0.5)
Evaluating ... ...
Dw = 45.2148980014302
STEP 3: Convert Result to Output's Unit
45.2148980014302 Meter --> No Conversion Required
FINAL ANSWER
45.2148980014302 45.2149 Meter <-- Water Depth from Bed
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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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))

Water Depth for given Limiting Wave Period Formula

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

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 Water Depth for given Limiting Wave Period?

Water Depth for given Limiting Wave Period calculator uses Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5) to calculate the Water Depth from Bed, The Water Depth for given Limiting Wave Period formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth from Bed is denoted by Dw symbol.

How to calculate Water Depth for given Limiting Wave Period using this online calculator? To use this online calculator for Water Depth for given Limiting Wave Period, enter Limiting Wave Period (Tp) and hit the calculate button. Here is how the Water Depth for given Limiting Wave Period calculation can be explained with given input values -> 45.2149 = [g]*(21/9.78)^(1/0.5).

FAQ

What is Water Depth for given Limiting Wave Period?
The Water Depth for given Limiting Wave Period formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface and is represented as Dw = [g]*(Tp/9.78)^(1/0.5) or Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5). Limiting Wave Period is defined as the parameter of wave mechanics.
How to calculate Water Depth for given Limiting Wave Period?
The Water Depth for given Limiting Wave Period formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface is calculated using Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5). To calculate Water Depth for given Limiting Wave Period, you need Limiting Wave Period (Tp). With our tool, you need to enter the respective value for Limiting Wave Period 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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