✖Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.ⓘ Wave Height [H_wave]			+10% -10%
✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.ⓘ Average Horizontal Velocity at a Node [V']			+10% -10%
✖Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.ⓘ Water Depth at Harbor [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 Oscillation Period for Average Horizontal Velocity at Node [T_n]

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Natural Free Oscillation Period for Average Horizontal Velocity at Node

Formula

`"T"_{"n"} = ("H"_{"wave"}*"λ")/("V'"*pi*"d")`

Example

`"4.904113s"=("30.0m"*"26.8m")/("49.7m/s"*pi*"1.05m")`

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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 = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor)
T_n = (H_wave*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 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.
Wave Height - (Measured in Meter) - Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.
Wavelength - (Measured in Meter) - Wavelength is 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 refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.
Water Depth at Harbor - (Measured in Meter) - Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 30 Meter --> 30 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Average Horizontal Velocity at a Node: 49.7 Meter per Second --> 49.7 Meter per Second No Conversion Required
Water Depth at Harbor: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_n = (H_wave*λ)/(V'*pi*d) --> (30*26.8)/(49.7*pi*1.05)

Evaluating ... ...

T_n = 4.90411322203253

STEP 3: Convert Result to Output's Unit

4.90411322203253 Second --> No Conversion Required

FINAL ANSWER

4.90411322203253 ≈ 4.904113 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 at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis 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)/(Wave Height*sqrt([g]/Depth of Water))

Natural Free Oscillation Period for Open Basin

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

Natural Free Oscillation Period for Average Horizontal Velocity at Node

Go Natural Free Oscillating Period of a Basin = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor)

Natural Free Oscillation Period for Closed Basin

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

Water Depth given Natural Free Oscillation Period

Go Water Depth = (((2*Harbor 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 = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor)
T_n = (H_wave*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 = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor) to calculate the Natural Free Oscillating Period of a Basin, The Natural Free Oscillation Period for Average Horizontal Velocity at Node formula is defined as the the time it takes for a system, such as a body of water, to complete one full cycle of oscillation without external forcing after being displaced from its equilibrium position. This concept is significant for understanding and predicting the behavior of waves and currents in coastal and ocean environments. Natural Free Oscillating Period of a Basin is denoted by T_n 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 Wave Height (H_wave), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Water Depth at Harbor (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 -> 4.904113 = (30*26.8)/(49.7*pi*1.05).

FAQ

What is Natural Free Oscillation Period for Average Horizontal Velocity at Node?

The Natural Free Oscillation Period for Average Horizontal Velocity at Node formula is defined as the the time it takes for a system, such as a body of water, to complete one full cycle of oscillation without external forcing after being displaced from its equilibrium position. This concept is significant for understanding and predicting the behavior of waves and currents in coastal and ocean environments and is represented as T_n = (H_wave*λ)/(V'*pi*d) or Natural Free Oscillating Period of a Basin = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor). Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress, Wavelength is the distance between two successive crests or troughs of a wave, Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node & Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

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

The Natural Free Oscillation Period for Average Horizontal Velocity at Node formula is defined as the the time it takes for a system, such as a body of water, to complete one full cycle of oscillation without external forcing after being displaced from its equilibrium position. This concept is significant for understanding and predicting the behavior of waves and currents in coastal and ocean environments is calculated using Natural Free Oscillating Period of a Basin = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor). To calculate Natural Free Oscillation Period for Average Horizontal Velocity at Node, you need Wave Height (H_wave), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Water Depth at Harbor (d). With our tool, you need to enter the respective value for Wave Height, Wavelength, Average Horizontal Velocity at a Node & Water Depth at Harbor 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 Wave Height, Wavelength, Average Horizontal Velocity at a Node & Water Depth at Harbor. We can use 4 other way(s) to calculate the same, which is/are as follows -

Natural Free Oscillating Period of a Basin = (2/sqrt([g]*Water Depth at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis of Basin/Basin Dimensions along the Y-axis)^2)^-0.5
Natural Free Oscillating Period of a Basin = (2*pi*Maximum Horizontal Particle Excursion)/(Wave Height*sqrt([g]/Depth of Water))
Natural Free Oscillating Period of a Basin = (2*Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water))
Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))

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