Water Depth given Natural Free Oscillating Period of 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%
✖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%
✖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 given Natural Free Oscillating Period of Basin [D]

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Water Depth given Natural Free Oscillating Period of Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Water Depth - (Measured in Meter) - Water Depth between the surface and the seafloor as measured at mean lower low water.
Length of the Basin - (Measured in Meter) - Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of the Basin: 38.782 Meter --> 38.782 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Number of Nodes along the Axis of a Basin: 1.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = ((2*l_B/(T_n*N))^2)/[g] --> ((2*38.782/(5.5*1.3))^2)/[g]

Evaluating ... ...

D = 12.0001765676347

STEP 3: Convert Result to Output's Unit

12.0001765676347 Meter --> No Conversion Required

FINAL ANSWER

12.0001765676347 ≈ 12.00018 Meter <-- Water Depth

(Calculation completed in 00.012 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]

Water Depth given Natural Free Oscillating Period of Basin Formula

LaTeX Go

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

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 Water Depth given Natural Free Oscillating Period of Basin?

Water Depth given Natural Free Oscillating Period of Basin calculator uses Water Depth = ((2*Length of the Basin/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g] to calculate the Water Depth, The Water Depth given Natural Free Oscillating Period of Basin formula is defined as the depth measured from the water level to the bottom under reference. Water Depth is denoted by D symbol.

How to calculate Water Depth given Natural Free Oscillating Period of Basin using this online calculator? To use this online calculator for Water Depth given Natural Free Oscillating Period of Basin, enter Length of the Basin (l_B), Natural Free Oscillating Period of a Basin (T_n) & Number of Nodes along the Axis of a Basin (N) and hit the calculate button. Here is how the Water Depth given Natural Free Oscillating Period of Basin calculation can be explained with given input values -> 12.00018 = ((2*38.782/(5.5*1.3))^2)/[g].

FAQ

What is Water Depth given Natural Free Oscillating Period of Basin?

The Water Depth given Natural Free Oscillating Period of Basin formula is defined as the depth measured from the water level to the bottom under reference and is represented as D = ((2*l_B/(T_n*N))^2)/[g] or Water Depth = ((2*Length of the Basin/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]. Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel, 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 & 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.

How to calculate Water Depth given Natural Free Oscillating Period of Basin?

The Water Depth given Natural Free Oscillating Period of Basin formula is defined as the depth measured from the water level to the bottom under reference is calculated using Water Depth = ((2*Length of the Basin/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]. To calculate Water Depth given Natural Free Oscillating Period of Basin, you need Length of the Basin (l_B), Natural Free Oscillating Period of a Basin (T_n) & Number of Nodes along the Axis of a Basin (N). With our tool, you need to enter the respective value for Length of the Basin, Natural Free Oscillating Period of a Basin & Number of Nodes along the Axis 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?

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

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]

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