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Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode Calculator

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✖Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.ⓘ Length of Basin along Axis [L_ba]			+10% -10%
✖Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.ⓘ Natural Free Oscillating Period of a Basin [T_n]			+10% -10%

✖Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.ⓘ Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode [d]

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Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]
d = (2*L_ba/T_n)^2/[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Water Depth at Harbor - (Measured in Meter) - Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.
Length of Basin along Axis - (Measured in Meter) - Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.
Natural Free Oscillating Period of a Basin - (Measured in Second) - Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.

STEP 1: Convert Input(s) to Base Unit

Length of Basin along Axis: 4.41 Meter --> 4.41 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (2*L_ba/T_n)^2/[g] --> (2*4.41/5.5)^2/[g]

Evaluating ... ...

d = 0.262235277773435

STEP 3: Convert Result to Output's Unit

0.262235277773435 Meter --> No Conversion Required

FINAL ANSWER

0.262235277773435 ≈ 0.262235 Meter <-- Water Depth at Harbor

(Calculation completed in 00.004 seconds)

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< Harbor Oscillations Calculators

Period for Fundamental Mode

LaTeX Go Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor)

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Maximum Oscillation Period = 2*Length of Basin along Axis/sqrt([g]*Water Depth)

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode Formula

LaTeX Go

Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]
d = (2*L_ba/T_n)^2/[g]

What is Wave Reflection on Structures?

If there is a change in water depth as a wave propagates forward, a portion of the wave’s energy will be reflected. When a wave hits a vertical, impermeable, rigid surface-piercing wall, essentially all of the wave energy will reflect from the wall. On the other hand, when a wave propagates over a small bottom slope, only a very small portion of the energy will be reflected. The degree of wave reflection is defined by the reflection coefficient Cr = Hr/Hi where Hr and Hi are the reflected and incident wave heights, respectively.

How to Calculate Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode?

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode calculator uses Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g] to calculate the Water Depth at Harbor, The Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water. Water Depth at Harbor is denoted by d symbol.

How to calculate Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode using this online calculator? To use this online calculator for Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode, enter Length of Basin along Axis (L_ba) & Natural Free Oscillating Period of a Basin (T_n) and hit the calculate button. Here is how the Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode calculation can be explained with given input values -> 12.13547 = (2*4.41/5.5)^2/[g].

FAQ

What is Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode?

The Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water and is represented as d = (2*L_ba/T_n)^2/[g] or Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]. Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis & Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.

How to calculate Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode?

The Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water is calculated using Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]. To calculate Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode, you need Length of Basin along Axis (L_ba) & Natural Free Oscillating Period of a Basin (T_n). With our tool, you need to enter the respective value for Length of Basin along Axis & Natural Free Oscillating Period of a Basin 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 Water Depth at Harbor?

In this formula, Water Depth at Harbor uses Length of Basin along Axis & Natural Free Oscillating Period of a Basin. We can use 2 other way(s) to calculate the same, which is/are as follows -

Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]
Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2

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