Constant used in FPS Unit given Flood Discharge by Fuller's Formula Calculator

✖Discharge in cusecs is defined as the volumetric flow rate in F.P.S unit.ⓘ Discharge in cusecs [Q₁]			+10% -10%
✖Area of Basin which is also known as catchment area.ⓘ Area of Basin [A₁]			+10% -10%
✖Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.ⓘ Time in minutes [T_m]			+10% -10%

✖Constant FPS unit is used and depend upon catchment.ⓘ Constant used in FPS Unit given Flood Discharge by Fuller's Formula [C₁]

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Constant used in FPS Unit given Flood Discharge by Fuller's Formula

Formula

`"C"_{"1"} = ("Q"_{"1"}/((("A"_{"1"})^(0.8))*(1+0.8*log("T"_{"m"},e))*(1+2*("A"_{"1"})^(-0.2))))`

Example

`"1.137044"=("5ft³/s"/((("2mi²")^(0.8))*(1+0.8*log("20min",e))*(1+2*("2mi²")^(-0.2))))`

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Constant used in FPS Unit given Flood Discharge by Fuller's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))))
C₁ = (Q₁/(((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2))))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Constant FPS - Constant FPS unit is used and depend upon catchment.
Discharge in cusecs - (Measured in Cubic Foot per Second) - Discharge in cusecs is defined as the volumetric flow rate in F.P.S unit.
Area of Basin - (Measured in Square Mile (US Survey)) - Area of Basin which is also known as catchment area.
Time in minutes - (Measured in Year) - Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.

STEP 1: Convert Input(s) to Base Unit

Discharge in cusecs: 5 Cubic Foot per Second --> 5 Cubic Foot per Second No Conversion Required
Area of Basin: 2 Square Mile --> 1.99999168139105 Square Mile (US Survey) (Check conversion here)
Time in minutes: 20 Minute --> 3.80264862081737E-05 Year (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C₁ = (Q₁/(((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2)))) --> (5/(((1.99999168139105)^(0.8))*(1+0.8*log(3.80264862081737E-05,e))*(1+2*(1.99999168139105)^(-0.2))))

Evaluating ... ...

C₁ = 1.13704380162032

STEP 3: Convert Result to Output's Unit

1.13704380162032 --> No Conversion Required

FINAL ANSWER

1.13704380162032 ≈ 1.137044 <-- Constant FPS

(Calculation completed in 00.004 seconds)

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< 4 Fuller's Formula Calculators

Constant used in Metric Unit given Flood Discharge by Fuller's Formula

Go Constant Metric Unit = (Discharge/(((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))))

Flood Discharge by Fuller's Formula

Go Discharge = Constant Metric Unit*((Catchment Area for Flood Discharge)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2.67*(Catchment Area for Flood Discharge)^(-0.3))

Constant used in FPS Unit given Flood Discharge by Fuller's Formula

Go Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))))

Flood Discharge in FPS Unit by Fuller's Formula

Go Discharge in cusecs = Constant FPS*((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))

Constant used in FPS Unit given Flood Discharge by Fuller's Formula Formula

Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2))))
C₁ = (Q₁/(((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2))))

What is Flood Discharge ?

Discharge is the volume of water that passes through a given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms). Stage is the level of the water surface over a datum (often sea level).

How to Calculate Constant used in FPS Unit given Flood Discharge by Fuller's Formula?

Constant used in FPS Unit given Flood Discharge by Fuller's Formula calculator uses Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)))) to calculate the Constant FPS, The Constant used in FPS Unit given Flood Discharge by Fuller's Formula is defined as the value of constant when we have prior information of other parameters used. Constant FPS is denoted by C₁ symbol.

How to calculate Constant used in FPS Unit given Flood Discharge by Fuller's Formula using this online calculator? To use this online calculator for Constant used in FPS Unit given Flood Discharge by Fuller's Formula, enter Discharge in cusecs (Q₁), Area of Basin (A₁) & Time in minutes (T_m) and hit the calculate button. Here is how the Constant used in FPS Unit given Flood Discharge by Fuller's Formula calculation can be explained with given input values -> 1.137044 = (0.141584232961699/(((5179976.220672)^(0.8))*(1+0.8*log(1200,e))*(1+2*(5179976.220672)^(-0.2)))).

FAQ

What is Constant used in FPS Unit given Flood Discharge by Fuller's Formula?

The Constant used in FPS Unit given Flood Discharge by Fuller's Formula is defined as the value of constant when we have prior information of other parameters used and is represented as C₁ = (Q₁/(((A₁)^(0.8))*(1+0.8*log(T_m,e))*(1+2*(A₁)^(-0.2)))) or Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)))). Discharge in cusecs is defined as the volumetric flow rate in F.P.S unit, Area of Basin which is also known as catchment area & Time in minutes is a unit of time equal to 60 seconds or 1/60th of an hour.

How to calculate Constant used in FPS Unit given Flood Discharge by Fuller's Formula?

The Constant used in FPS Unit given Flood Discharge by Fuller's Formula is defined as the value of constant when we have prior information of other parameters used is calculated using Constant FPS = (Discharge in cusecs/(((Area of Basin)^(0.8))*(1+0.8*log(Time in minutes,e))*(1+2*(Area of Basin)^(-0.2)))). To calculate Constant used in FPS Unit given Flood Discharge by Fuller's Formula, you need Discharge in cusecs (Q₁), Area of Basin (A₁) & Time in minutes (T_m). With our tool, you need to enter the respective value for Discharge in cusecs, Area of Basin & Time in minutes 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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