First Moment of ERH given Second Moment of DRH Calculator

✖Second Moment of the DRH about the time origin divided by the total direct runoff.ⓘ Second Moment of the DRH [M_Q2]			+10% -10%
✖Second Moment of the ERH is about the time origin divided by the total excess rainfall.ⓘ Second Moment of the ERH [M_I2]			+10% -10%
✖Constant n is for the catchment to be determined by the effective rainfall of the catchment.ⓘ Constant n [n]			+10% -10%
✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%

✖First Moment of the ERH about the time origin divided by the total effective rainfall.ⓘ First Moment of ERH given Second Moment of DRH [M_I1]

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First Moment of ERH given Second Moment of DRH Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K)
M_I1 = (M_Q2-M_I2-(n*(n+1)*K^2))/(2*n*K)
This formula uses 5 Variables

Variables Used

First Moment of the ERH - First Moment of the ERH about the time origin divided by the total effective rainfall.
Second Moment of the DRH - Second Moment of the DRH about the time origin divided by the total direct runoff.
Second Moment of the ERH - Second Moment of the ERH is about the time origin divided by the total excess rainfall.
Constant n - Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

STEP 1: Convert Input(s) to Base Unit

Second Moment of the DRH: 448 --> No Conversion Required
Second Moment of the ERH: 16 --> No Conversion Required
Constant n: 3 --> No Conversion Required
Constant K: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_I1 = (M_Q2-M_I2-(n*(n+1)*K^2))/(2*n*K) --> (448-16-(3*(3+1)*4^2))/(2*3*4)

Evaluating ... ...

M_I1 = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- First Moment of the ERH

(Calculation completed in 00.004 seconds)

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< Determination of n and S of Nash's Model Calculators

Second Moment of ERH about Time Origin divided by Total Excess Rainfall

LaTeX Go Second Moment of the ERH = Second Moment of the DRH-(Constant n*(Constant n+1)*Constant K^2)-(2*Constant n*Constant K*First Moment of the ERH)

Second Moment of DRH about Time Origin divided by Total Direct Runoff

LaTeX Go Second Moment of the DRH = (Constant n*(Constant n+1)*Constant K^2)+(2*Constant n*Constant K*First Moment of the ERH)+Second Moment of the ERH

First Moment of ERH about Time Origin divided by Total Effective Rainfall

LaTeX Go First Moment of the ERH = First Moment of the DRH-(Constant n*Constant K)

First Moment of DRH about Time Origin divided by Total Direct Runoff

LaTeX Go First Moment of the DRH = (Constant n*Constant K)+First Moment of the ERH

First Moment of ERH given Second Moment of DRH Formula

LaTeX Go

First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K)
M_I1 = (M_Q2-M_I2-(n*(n+1)*K^2))/(2*n*K)

What is Hyetograph and Hydrograph?

A Hyetograph is a plot of the intensity of rainfall against the time interval it is usually represented by a bar chart.
A Hydrograph is a graphical plot of the discharge of a natural system for river versus time.

What is the use of Unit Hydrograph?

A Unit Hydrograph shows the temporal change in flow, or discharge, per unit of runoff. In other words, how the flow of a stream will be affected over time by the addition of one unit of runoff. The unit hydrograph is a useful tool in the process of predicting the impact of precipitation on streamflow.

How to Calculate First Moment of ERH given Second Moment of DRH?

First Moment of ERH given Second Moment of DRH calculator uses First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K) to calculate the First Moment of the ERH, The First Moment of ERH given Second Moment of DRH formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph. First Moment of the ERH is denoted by M_I1 symbol.

How to calculate First Moment of ERH given Second Moment of DRH using this online calculator? To use this online calculator for First Moment of ERH given Second Moment of DRH, enter Second Moment of the DRH (M_Q2), Second Moment of the ERH (M_I2), Constant n (n) & Constant K (K) and hit the calculate button. Here is how the First Moment of ERH given Second Moment of DRH calculation can be explained with given input values -> 654.3255 = (448-16-(3*(3+1)*4^2))/(2*3*4).

FAQ

What is First Moment of ERH given Second Moment of DRH?

The First Moment of ERH given Second Moment of DRH formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph and is represented as M_I1 = (M_Q2-M_I2-(n*(n+1)*K^2))/(2*n*K) or First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K). Second Moment of the DRH about the time origin divided by the total direct runoff, Second Moment of the ERH is about the time origin divided by the total excess rainfall, Constant n is for the catchment to be determined by the effective rainfall of the catchment & Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

How to calculate First Moment of ERH given Second Moment of DRH?

The First Moment of ERH given Second Moment of DRH formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph is calculated using First Moment of the ERH = (Second Moment of the DRH-Second Moment of the ERH-(Constant n*(Constant n+1)*Constant K^2))/(2*Constant n*Constant K). To calculate First Moment of ERH given Second Moment of DRH, you need Second Moment of the DRH (M_Q2), Second Moment of the ERH (M_I2), Constant n (n) & Constant K (K). With our tool, you need to enter the respective value for Second Moment of the DRH, Second Moment of the ERH, Constant n & Constant K 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 First Moment of the ERH?

In this formula, First Moment of the ERH uses Second Moment of the DRH, Second Moment of the ERH, Constant n & Constant K. We can use 1 other way(s) to calculate the same, which is/are as follows -

First Moment of the ERH = First Moment of the DRH-(Constant n*Constant K)

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