Water Depth given Natural Free Oscillation Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth = (((2*Harbour Basin Length)/(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.
Harbour Basin Length - (Measured in Meter) - Harbour Basin Length or Length of Basin is defined as the length of the drainage basin.
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
Harbour Basin Length: 40 Meter --> 40 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*40)/(5.5*1.3))^2)/[g]
Evaluating ... ...
D = 12.7657758581031
STEP 3: Convert Result to Output's Unit
12.7657758581031 Meter --> No Conversion Required
FINAL ANSWER
12.7657758581031 12.76578 Meter <-- Water Depth
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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6 Free Oscillation Period Calculators

Natural Free Oscillation Period
Go Natural Free Oscillating Period of a Basin = (2/sqrt([g]*Water Depth))*((Number of Nodes along the x-axes of Basin/Basin Dimensions along the x-axis)^2+(Number of Nodes along the y-axes of Basin/Basin Dimensions along the y-axis)^2)^-0.5
Natural Free Oscillation period given Maximum Horizontal Particle Excursion at Node
Go Natural Free Oscillating Period of a Basin = (2*pi*Maximum Horizontal Particle Excursion)/(Standing Wave Height*sqrt([g]/Water Depth))
Natural Free Oscillation Period for Open Basin
Go Natural Free Oscillating Period of a Basin = 4*Harbour Basin Length/((1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))
Natural Free Oscillation Period for Closed Basins
Go Natural Free Oscillating Period of a Basin = (2*Harbour Basin Length)/(Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth))
Natural Free Oscillation Period for Average Horizontal Velocity at Node
Go Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth)
Water Depth given Natural Free Oscillation Period
Go Water Depth = (((2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin))^2)/[g]

Water Depth given Natural Free Oscillation Period Formula

Water Depth = (((2*Harbour Basin Length)/(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 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 Natural Free Oscillation Period?

Water Depth given Natural Free Oscillation Period calculator uses Water Depth = (((2*Harbour Basin Length)/(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 Oscillation Period is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water. Water Depth is denoted by D symbol.

How to calculate Water Depth given Natural Free Oscillation Period using this online calculator? To use this online calculator for Water Depth given Natural Free Oscillation Period, enter Harbour Basin Length (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 Oscillation Period calculation can be explained with given input values -> 12.76578 = (((2*40)/(5.5*1.3))^2)/[g].

FAQ

What is Water Depth given Natural Free Oscillation Period?
The Water Depth given Natural Free Oscillation Period is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water and is represented as D = (((2*LB)/(Tn*N))^2)/[g] or Water Depth = (((2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin))^2)/[g]. Harbour Basin Length or Length of Basin is defined as the length of the drainage basin, 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 Oscillation Period?
The Water Depth given Natural Free Oscillation Period is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water is calculated using Water Depth = (((2*Harbour Basin Length)/(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 Oscillation Period, you need Harbour Basin Length (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 Harbour Basin Length, 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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