Natural Free Oscillating Period of Basin for Open Rectangular Basin Calculator

✖Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel.ⓘ Length of the Basin [l_B]			+10% -10%
✖Number of Nodes along the Axis of a Basin refers to the count of specific points situated along central axis of basin, where basin axis represents the line of lowest elevation on the basin's surface.ⓘ Number of Nodes along the Axis of a Basin [N]			+10% -10%
✖Water Depth between the surface and the seafloor as measured at mean lower low water.ⓘ Water Depth [D]			+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 Basin for Open Rectangular Basin [T_n]

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Natural Free Oscillating Period of Basin for Open Rectangular Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth))
T_n = 4*l_B/((1+(2*N))*sqrt([g]*D))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Length of the Basin - (Measured in Meter) - Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel.
Number of Nodes along the Axis of a Basin - Number of Nodes along the Axis of a Basin refers to the count of specific points situated along central axis of basin, where basin axis represents the line of lowest elevation on the basin's surface.
Water Depth - (Measured in Meter) - Water Depth between the surface and the seafloor as measured at mean lower low water.

STEP 1: Convert Input(s) to Base Unit

Length of the Basin: 38.782 Meter --> 38.782 Meter No Conversion Required
Number of Nodes along the Axis of a Basin: 1.3 --> No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_n = 4*l_B/((1+(2*N))*sqrt([g]*D)) --> 4*38.782/((1+(2*1.3))*sqrt([g]*12))

Evaluating ... ...

T_n = 3.97225144569315

STEP 3: Convert Result to Output's Unit

3.97225144569315 Second --> No Conversion Required

FINAL ANSWER

3.97225144569315 ≈ 3.972251 Second <-- Natural Free Oscillating Period of a Basin

(Calculation completed in 00.020 seconds)

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< Open Rectangular Basin and Seiches Calculators

Natural Free Oscillating Period of Basin for Open Rectangular Basin

LaTeX Go Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth))

Number of Nodes along Axis of Basin for Open Rectangular Basin

LaTeX Go Number of Nodes along the Axis of a Basin = ((4*Length of the Basin/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2

Length of Basin for Open Rectangular Basin

LaTeX Go Length of the Basin = Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth)/4

Water Depth for Open Rectangular Basin

LaTeX Go Water Depth = ((4*Length of the Basin/(Natural Free Oscillating Period of a Basin*(1+2*(Number of Nodes along the Axis of a Basin))))^2)/[g]

Natural Free Oscillating Period of Basin for Open Rectangular Basin Formula

LaTeX Go

Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth))
T_n = 4*l_B/((1+(2*N))*sqrt([g]*D))

What is Seiches?

Seiches are standing waves or oscillations of the free surface of a body of water in a closed or semiclosed basin. These oscillations are of relatively long period, extending from minutes in harbors and bays to over 10 hr in the Great Lakes. Any external perturbation to the lake or embayment can force an oscillation. In harbors, the forcing can be the result of short waves and wave groups at the harbor entrance. Examples include 30- to 400-sec wave-forced oscillations in the Los Angeles-Long Beach harbor (Seabergh 1985).

How to Calculate Natural Free Oscillating Period of Basin for Open Rectangular Basin?

Natural Free Oscillating Period of Basin for Open Rectangular Basin calculator uses Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth)) to calculate the Natural Free Oscillating Period of a Basin, The Natural Free Oscillating Period of Basin for Open Rectangular Basin formula is defined as the one-dimensional case of closed rectangular basin with vertical walls and uniform depth. Natural Free Oscillating Period of a Basin is denoted by T_n symbol.

How to calculate Natural Free Oscillating Period of Basin for Open Rectangular Basin using this online calculator? To use this online calculator for Natural Free Oscillating Period of Basin for Open Rectangular Basin, enter Length of the Basin (l_B), Number of Nodes along the Axis of a Basin (N) & Water Depth (D) and hit the calculate button. Here is how the Natural Free Oscillating Period of Basin for Open Rectangular Basin calculation can be explained with given input values -> 3.972251 = 4*38.782/((1+(2*1.3))*sqrt([g]*12)).

FAQ

What is Natural Free Oscillating Period of Basin for Open Rectangular Basin?

The Natural Free Oscillating Period of Basin for Open Rectangular Basin formula is defined as the one-dimensional case of closed rectangular basin with vertical walls and uniform depth and is represented as T_n = 4*l_B/((1+(2*N))*sqrt([g]*D)) or Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth)). Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel, Number of Nodes along the Axis of a Basin refers to the count of specific points situated along central axis of basin, where basin axis represents the line of lowest elevation on the basin's surface & Water Depth between the surface and the seafloor as measured at mean lower low water.

How to calculate Natural Free Oscillating Period of Basin for Open Rectangular Basin?

The Natural Free Oscillating Period of Basin for Open Rectangular Basin formula is defined as the one-dimensional case of closed rectangular basin with vertical walls and uniform depth is calculated using Natural Free Oscillating Period of a Basin = 4*Length of the Basin/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth)). To calculate Natural Free Oscillating Period of Basin for Open Rectangular Basin, you need Length of the Basin (l_B), Number of Nodes along the Axis of a Basin (N) & Water Depth (D). With our tool, you need to enter the respective value for Length of the Basin, Number of Nodes along the Axis of a Basin & Water Depth 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 Natural Free Oscillating Period of a Basin?

In this formula, Natural Free Oscillating Period of a Basin uses Length of the Basin, Number of Nodes along the Axis of a Basin & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

Natural Free Oscillating Period of a Basin = (2*Length of the Basin)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth))

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