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Water Depth given Natural Free Oscillation Period Calculator

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Free Oscillation Period Flushing or Circulation Processes and Vessel Interactions Open and Closed Basins

✖Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.ⓘ Harbor Basin Length [L_hbl]			+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 specific points or segments along a central line (axis) of a coastal basin or water body.ⓘ Number of Nodes along the Axis of a Basin [N]			+10% -10%

✖Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.ⓘ Water Depth given Natural Free Oscillation Period [D]

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Water Depth given Natural Free Oscillation Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = (((2*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]
D = (((2*L_hbl)/(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 is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.
Harbor Basin Length - (Measured in Meter) - Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.
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 specific points or segments along a central line (axis) of a coastal basin or water body.

STEP 1: Convert Input(s) to Base Unit

Harbor 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*L_hbl)/(T_n*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)

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< Free Oscillation Period Calculators

Natural Free Oscillation Period

LaTeX 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

LaTeX 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 Average Horizontal Velocity at Node

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

Water Depth given Natural Free Oscillation Period

LaTeX 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]

Water Depth given Natural Free Oscillation Period Formula

LaTeX 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]
D = (((2*L_hbl)/(T_n*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*Harbor 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 formula 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 Harbor Basin Length (L_hbl), 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 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 formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water and is represented as D = (((2*L_hbl)/(T_n*N))^2)/[g] or Water Depth = (((2*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]. Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored, 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 specific points or segments along a central line (axis) of a coastal basin or water body.

How to calculate Water Depth given Natural Free Oscillation Period?

The Water Depth given Natural Free Oscillation Period formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water is calculated using Water Depth = (((2*Harbor 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 Harbor Basin Length (L_hbl), 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 Harbor 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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