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*lB/(Tn*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 means the depth as measured from the water level to the bottom of the considered water body.
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 have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.
Number of nodes along the Axis of a Basin - Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement 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*lB/(Tn*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 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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4 Seiches Calculators

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

Water Depth given Natural Free Oscillating Period of Basin Formula

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*lB/(Tn*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 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 (lB), Natural Free Oscillating Period of a Basin (Tn) & 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 is defined as the depth measured from the water level to the bottom under reference and is represented as D = ((2*lB/(Tn*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 have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth & Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement surface.
How to calculate Water Depth given Natural Free Oscillating Period of Basin?
The Water Depth given Natural Free Oscillating Period of Basin 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 (lB), Natural Free Oscillating Period of a Basin (Tn) & 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.
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