Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph Calculator

✖Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.ⓘ Peak discharge of a D-h Unit hydrograph [Q_pd]			+10% -10%
✖Area of catchment is the area from which rain flows into a particular river or lake.ⓘ Area of Catchment [A]			+10% -10%

✖Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome.ⓘ Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph [S_m]

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Formula

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Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph

Formula

`"S"_{"m"} = ("Q"_{"pd"}/(37.4*"A"^(3/4)))^(3/2)`

Example

`"0.010471"=("129031m³/s"/(37.4*("3.00km²")^(3/4)))^(3/2)`

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Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)
S_m = (Q_pd/(37.4*A^(3/4)))^(3/2)
This formula uses 3 Variables

Variables Used

Weighted Mean Slope - Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome.
Peak discharge of a D-h Unit hydrograph - (Measured in Cubic Meter per Second) - Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.
Area of Catchment - (Measured in Square Meter) - Area of catchment is the area from which rain flows into a particular river or lake.

STEP 1: Convert Input(s) to Base Unit

Peak discharge of a D-h Unit hydrograph: 129031 Cubic Meter per Second --> 129031 Cubic Meter per Second No Conversion Required
Area of Catchment: 3 Square Kilometer --> 3000000 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_m = (Q_pd/(37.4*A^(3/4)))^(3/2) --> (129031/(37.4*3000000^(3/4)))^(3/2)

Evaluating ... ...

S_m = 0.0104706171391974

STEP 3: Convert Result to Output's Unit

0.0104706171391974 --> No Conversion Required

FINAL ANSWER

0.0104706171391974 ≈ 0.010471 <-- Weighted Mean Slope

(Calculation completed in 00.004 seconds)

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< 10+ The Indian Practice Calculators

Peak Discharge of D-h Unit Hydrograph given Lag Time

Go Peak discharge of a D-h Unit hydrograph = (Area of Catchment)*(1.56/Lag Time of a 1-h Unit Hydrograph)^(1/0.9)

Catchment Area given Lag Time of 1-h Unit Hydrograph

Go Area of Catchment = Peak discharge of a D-h Unit hydrograph*(Lag Time of a 1-h Unit Hydrograph/1.56)^(1/0.9)

Lag Time of 1-h Unit Hydrograph

Go Lag Time of a 1-h Unit Hydrograph = 1.56/((Peak discharge of a D-h Unit hydrograph/Area of Catchment)^0.9)

Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/(37.4*Weighted Mean Slope^(2/3)))^(4/3)

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph

Go Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)

Peak Discharge of D-h Unit Hydrograph for Weighted Mean Slope Lesser than 0.0028

Go Peak discharge of a D-h Unit hydrograph = 37.4*Area of Catchment^(3/4)*Weighted Mean Slope^(2/3)

Lag Time of 1-h Unit Hydrograph given Duration of Rainfall Excess

Go Lag Time of a 1-h Unit Hydrograph = Duration of Excess Rainfall in Hours/1.1

Duration of Rainfall Excess

Go Duration of Excess Rainfall in Hours = 1.1*Lag Time of a 1-h Unit Hydrograph

Catchment Area given Peak Discharge of D-h Unit Hydrograph

Go Area of Catchment = (Peak discharge of a D-h Unit hydrograph/1.79)^(4/3)

Peak Discharge of D-h Unit Hydrograph

Go Peak discharge of a D-h Unit hydrograph = 1.79*Area of Catchment^(3/4)

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph Formula

Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2)
S_m = (Q_pd/(37.4*A^(3/4)))^(3/2)

What is Basin lag?

Basin lag time, defined as the elapsed time between the occurrences of the centroids of the effective rainfall. and of the storm runoff hydrograph, is an important factor in determining the time to peak of the unit. hydrograph and the intensity of peak discharge.

What is D-h Unit Hydrograph?

The unit hydrograph represents the lumped response of the catchment to a unit rainfall excess of D-h duration to produce a direct runoff hydrograph. It relates only the direct runoff to rainfall excess. Hence the volume of water contained in the unit hydrograph must be equal to the rainfall excess.

How to Calculate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph?

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph calculator uses Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2) to calculate the Weighted Mean Slope, The Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph formula is defined as the parameter of the D-h Unit Hydrograph to determine peak discharge adhering to the Indian Practice. Weighted Mean Slope is denoted by S_m symbol.

How to calculate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph using this online calculator? To use this online calculator for Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph, enter Peak discharge of a D-h Unit hydrograph (Q_pd) & Area of Catchment (A) and hit the calculate button. Here is how the Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph calculation can be explained with given input values -> 0.010471 = (129031/(37.4*3000000^(3/4)))^(3/2).

FAQ

What is Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph?

The Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph formula is defined as the parameter of the D-h Unit Hydrograph to determine peak discharge adhering to the Indian Practice and is represented as S_m = (Q_pd/(37.4*A^(3/4)))^(3/2) or Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2). Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph & Area of catchment is the area from which rain flows into a particular river or lake.

How to calculate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph?

The Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph formula is defined as the parameter of the D-h Unit Hydrograph to determine peak discharge adhering to the Indian Practice is calculated using Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2). To calculate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph, you need Peak discharge of a D-h Unit hydrograph (Q_pd) & Area of Catchment (A). With our tool, you need to enter the respective value for Peak discharge of a D-h Unit hydrograph & Area of Catchment 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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