Natural Free Oscillation Period for Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary
Formula Used
Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth)
Tn = (H*λ)/(V'*pi*D)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Standing Wave Height - (Measured in Meter) - Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Average Horizontal Velocity at a Node - (Measured in Meter per Second) - Average Horizontal Velocity at a Node [length/time] uses the standing wave height, wavelength, water depth and natural free oscillating period of the basin.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
STEP 1: Convert Input(s) to Base Unit
Standing Wave Height: 5 Meter --> 5 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Average Horizontal Velocity at a Node: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tn = (H*λ)/(V'*pi*D) --> (5*26.8)/(20*pi*12)
Evaluating ... ...
Tn = 0.17772301978595
STEP 3: Convert Result to Output's Unit
0.17772301978595 Second --> No Conversion Required
FINAL ANSWER
0.17772301978595 0.177723 Second <-- Natural Free Oscillating Period of a Basin
(Calculation completed in 00.004 seconds)

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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]

Natural Free Oscillation Period for Average Horizontal Velocity at Node Formula

Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth)
Tn = (H*λ)/(V'*pi*D)

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.

How to Calculate Natural Free Oscillation Period for Average Horizontal Velocity at Node?

Natural Free Oscillation Period for Average Horizontal Velocity at Node calculator uses Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth) to calculate the Natural Free Oscillating Period of a Basin, The Natural free oscillation period for average horizontal velocity at node, As with closed basins, the simplest, classical case is a narrow, rectangular basin with uniform depth. The basin has vertical walls on three sides and is fully open at one end. The fundamental mode of resonant oscillation occurs when there is one-quarter of a wave in the basin. Natural Free Oscillating Period of a Basin is denoted by Tn symbol.

How to calculate Natural Free Oscillation Period for Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Natural Free Oscillation Period for Average Horizontal Velocity at Node, enter Standing Wave Height (H), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Water Depth (D) and hit the calculate button. Here is how the Natural Free Oscillation Period for Average Horizontal Velocity at Node calculation can be explained with given input values -> 0.177723 = (5*26.8)/(20*pi*12).

FAQ

What is Natural Free Oscillation Period for Average Horizontal Velocity at Node?
The Natural free oscillation period for average horizontal velocity at node, As with closed basins, the simplest, classical case is a narrow, rectangular basin with uniform depth. The basin has vertical walls on three sides and is fully open at one end. The fundamental mode of resonant oscillation occurs when there is one-quarter of a wave in the basin and is represented as Tn = (H*λ)/(V'*pi*D) or Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth). Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length], Wavelength can be defined as the distance between two successive crests or troughs of a wave, Average Horizontal Velocity at a Node [length/time] uses the standing wave height, wavelength, water depth and natural free oscillating period of the basin & Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Natural Free Oscillation Period for Average Horizontal Velocity at Node?
The Natural free oscillation period for average horizontal velocity at node, As with closed basins, the simplest, classical case is a narrow, rectangular basin with uniform depth. The basin has vertical walls on three sides and is fully open at one end. The fundamental mode of resonant oscillation occurs when there is one-quarter of a wave in the basin is calculated using Natural Free Oscillating Period of a Basin = (Standing Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth). To calculate Natural Free Oscillation Period for Average Horizontal Velocity at Node, you need Standing Wave Height (H), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Water Depth (D). With our tool, you need to enter the respective value for Standing Wave Height, Wavelength, Average Horizontal Velocity at a Node & 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 Standing Wave Height, Wavelength, Average Horizontal Velocity at a Node & Water Depth. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 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 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 Oscillating Period of a Basin = (2*pi*Maximum Horizontal Particle Excursion)/(Standing Wave Height*sqrt([g]/Water Depth))
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