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Period for Fundamental Mode Calculator

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

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Period for Fundamental Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Length of Basin along Axis: 4.41 Meter --> 4.41 Meter 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 = (4*L_ba)/sqrt([g]*d) --> (4*4.41)/sqrt([g]*1.05)

Evaluating ... ...

T_n = 5.49722601998895

STEP 3: Convert Result to Output's Unit

5.49722601998895 Second --> No Conversion Required

FINAL ANSWER

5.49722601998895 ≈ 5.497226 Second <-- Natural Free Oscillating Period of a Basin

(Calculation completed in 00.020 seconds)

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< Harbor Oscillations Calculators

Period for Fundamental Mode

LaTeX 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

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

Maximum Oscillation Period corresponding to Fundamental Mode

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

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

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

Period for Fundamental Mode Formula

LaTeX Go

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

What are Open Basins?

Open Basins are Exorheic, or open lakes drain into a river, or other body of water that ultimately drains into the ocean.

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 Period for Fundamental Mode?

Period for Fundamental Mode calculator uses Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor) to calculate the Natural Free Oscillating Period of a Basin, The Period for Fundamental Mode formula is defined as the natural period of oscillation for the primary or lowest frequency mode of a system, such as a body of water or a coastal structure. This concept is significant because it helps engineers understand how the system will respond to various forces, such as waves, tides, and other environmental factors. Natural Free Oscillating Period of a Basin is denoted by T_n symbol.

How to calculate Period for Fundamental Mode using this online calculator? To use this online calculator for Period for Fundamental Mode, enter Length of Basin along Axis (L_ba) & Water Depth at Harbor (d) and hit the calculate button. Here is how the Period for Fundamental Mode calculation can be explained with given input values -> 37.3961 = (4*4.41)/sqrt([g]*1.05).

FAQ

What is Period for Fundamental Mode?

The Period for Fundamental Mode formula is defined as the natural period of oscillation for the primary or lowest frequency mode of a system, such as a body of water or a coastal structure. This concept is significant because it helps engineers understand how the system will respond to various forces, such as waves, tides, and other environmental factors and is represented as T_n = (4*L_ba)/sqrt([g]*d) or Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor). Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis & Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

How to calculate Period for Fundamental Mode?

The Period for Fundamental Mode formula is defined as the natural period of oscillation for the primary or lowest frequency mode of a system, such as a body of water or a coastal structure. This concept is significant because it helps engineers understand how the system will respond to various forces, such as waves, tides, and other environmental factors is calculated using Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor). To calculate Period for Fundamental Mode, you need Length of Basin along Axis (L_ba) & Water Depth at Harbor (d). With our tool, you need to enter the respective value for Length of Basin along Axis & 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.

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