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Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode Calculator

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✖Maximum Oscillation Period refers to the longest time it takes for a system to complete one full cycle of oscillation.ⓘ Maximum Oscillation Period [T₁]			+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 [D]			+10% -10%

✖Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.ⓘ Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode [L_ba]

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Formula

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Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Formula

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

Example

4.230733 m = 0.013 min \cdot \frac{\sqrt{[g] \cdot 12 m}}{2}

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Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2
L_ba = T₁*sqrt([g]*D)/2
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Length of Basin along Axis - (Measured in Meter) - Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.
Maximum Oscillation Period - (Measured in Second) - Maximum Oscillation Period refers to the longest time it takes for a system to complete one full cycle of oscillation.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Oscillation Period: 0.013 Minute --> 0.78 Second (Check conversion here)
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_ba = T₁*sqrt([g]*D)/2 --> 0.78*sqrt([g]*12)/2

Evaluating ... ...

L_ba = 4.23073251104345

STEP 3: Convert Result to Output's Unit

4.23073251104345 Meter --> No Conversion Required

FINAL ANSWER

4.23073251104345 ≈ 4.230733 Meter <-- Length of Basin along Axis

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

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< Harbor Oscillations Calculators

Period for Fundamental Mode

Go Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor)

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Go Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

Go Maximum Oscillation Period = 2*Length of Basin along Axis/sqrt([g]*Water Depth)

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

Go Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]

< Important Formulas of Harbor Oscillation Calculators

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length (Helmholtz Mode)+Additional Length of the Channel)*Surface Area of Bay/([g]*Cross Sectional Area))

Standing Wave Height given Maximum Horizontal Velocity at Node

Go Standing Wave Height of Ocean = (Maximum Horizontal Velocity at a Node/sqrt([g]/Depth of Water))*2

Maximum Horizontal Velocity at Node

Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Water Depth given Maximum Horizontal Velocity at Node

Go Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode Formula

Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2
L_ba = T₁*sqrt([g]*D)/2

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 Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode calculator uses Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2 to calculate the Length of Basin along Axis, The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as a parameter influencing the maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1. Length of Basin along Axis is denoted by L_ba symbol.

How to calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode using this online calculator? To use this online calculator for Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, enter Maximum Oscillation Period (T₁) & Water Depth (D) and hit the calculate button. Here is how the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode calculation can be explained with given input values -> 4.230733 = 0.78*sqrt([g]*12)/2.

FAQ

What is Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as a parameter influencing the maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1 and is represented as L_ba = T₁*sqrt([g]*D)/2 or Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. Maximum Oscillation Period refers to the longest time it takes for a system to complete one full cycle of oscillation & Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

How to calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as a parameter influencing the maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1 is calculated using Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. To calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, you need Maximum Oscillation Period (T₁) & Water Depth (D). With our tool, you need to enter the respective value for Maximum Oscillation Period & 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 Length of Basin along Axis?

In this formula, Length of Basin along Axis uses Maximum Oscillation Period & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4

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