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Water Depth for given Period for 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 for given Period for Fundamental Mode [d]

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Water Depth for given Period for Fundamental Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]
d = ((4*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 = ((4*L_ba/T_n)^2)/[g] --> ((4*4.41/5.5)^2)/[g]

Evaluating ... ...

d = 1.04894111109374

STEP 3: Convert Result to Output's Unit

1.04894111109374 Meter --> No Conversion Required

FINAL ANSWER

1.04894111109374 ≈ 1.048941 Meter <-- Water Depth at Harbor

(Calculation completed in 00.021 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 for given Period for Fundamental Mode Formula

LaTeX Go

Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]
d = ((4*L_ba/T_n)^2)/[g]

What are Closed Basins?

Enclosed basins can experience oscillations due to a variety of causes. Lake oscillations are usually the result of a sudden change, or a series of intermittent-periodic changes, in atmospheric pressure or wind velocity. Oscillations in canals can be initiated by suddenly adding or subtracting large quantities of water. Harbor oscillations are usually initiated by forcing through the entrance; hence, they deviate from a true closed basin. Local seismic activity can also create oscillations in an enclosed basin.

What are Open Basins?

Open Basins are Exorheic, or open lakes drain into a river, or other body of water that ultimately drains into the ocean.

How to Calculate Water Depth for given Period for Fundamental Mode?

Water Depth for given Period for Fundamental Mode calculator uses Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g] to calculate the Water Depth at Harbor, The Water Depth for given Period for Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin does not include the node at the entrance. Water Depth at Harbor is denoted by d symbol.

How to calculate Water Depth for given Period for Fundamental Mode using this online calculator? To use this online calculator for Water Depth for given Period for 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 for given Period for Fundamental Mode calculation can be explained with given input values -> 48.54186 = ((4*4.41/5.5)^2)/[g].

FAQ

What is Water Depth for given Period for Fundamental Mode?

The Water Depth for given Period for Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin does not include the node at the entrance and is represented as d = ((4*L_ba/T_n)^2)/[g] or Water Depth at Harbor = ((4*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 for given Period for Fundamental Mode?

The Water Depth for given Period for Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin does not include the node at the entrance is calculated using Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]. To calculate Water Depth for given Period for 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 = (2*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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