Basin Length along Axis in Open Basin Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4
Lb = (Tn*(1+(2*N))*sqrt([g]*D))/4
This formula uses 1 Constants, 1 Functions, 4 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 - (Measured in Meter) - Length of Basin or length of the drainage basin in kilometres.
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.
Number of nodes along the Axis of a Basin - Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement surface.
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
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
Water Depth: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lb = (Tn*(1+(2*N))*sqrt([g]*D))/4 --> (5.5*(1+(2*1.3))*sqrt([g]*12))/4
Evaluating ... ...
Lb = 53.697758794013
STEP 3: Convert Result to Output's Unit
53.697758794013 Meter --> No Conversion Required
FINAL ANSWER
53.697758794013 53.69776 Meter <-- Length of Basin
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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4 Open and Closed Basins Calculators

Number of Nodes along Long Basin Axis in Open Basin
Go Number of nodes along the Axis of a Basin = (((4*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2
Basin Length along Axis in Open Basin
Go Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4
Number of Nodes along Long Basin Axis in Closed Basins
Go Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth))
Basin Length along Axis for Closed Basins
Go Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2

Basin Length along Axis in Open Basin Formula

Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4
Lb = (Tn*(1+(2*N))*sqrt([g]*D))/4

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.

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.

How to Calculate Basin Length along Axis in Open Basin?

Basin Length along Axis in Open Basin calculator uses Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4 to calculate the Length of Basin, The Basin Length along Axis in Open Basin is defined as maximum distance from watershed boundary to pour point influencing Natural free oscillating period. Length of Basin is denoted by Lb symbol.

How to calculate Basin Length along Axis in Open Basin using this online calculator? To use this online calculator for Basin Length along Axis in Open Basin, enter Natural Free Oscillating Period of a Basin (Tn), Number of nodes along the Axis of a Basin (N) & Water Depth (D) and hit the calculate button. Here is how the Basin Length along Axis in Open Basin calculation can be explained with given input values -> 53.69776 = (5.5*(1+(2*1.3))*sqrt([g]*12))/4.

FAQ

What is Basin Length along Axis in Open Basin?
The Basin Length along Axis in Open Basin is defined as maximum distance from watershed boundary to pour point influencing Natural free oscillating period and is represented as Lb = (Tn*(1+(2*N))*sqrt([g]*D))/4 or Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4. 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, Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement surface & Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Basin Length along Axis in Open Basin?
The Basin Length along Axis in Open Basin is defined as maximum distance from watershed boundary to pour point influencing Natural free oscillating period is calculated using Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of nodes along the Axis of a Basin))*sqrt([g]*Water Depth))/4. To calculate Basin Length along Axis in Open Basin, you need Natural Free Oscillating Period of a Basin (Tn), Number of nodes along the Axis of a Basin (N) & Water Depth (D). With our tool, you need to enter the respective value for Natural Free Oscillating Period of a Basin, Number of nodes along the Axis of a Basin & 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?
In this formula, Length of Basin uses Natural Free Oscillating Period of a Basin, Number of nodes along the Axis of a Basin & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2
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