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

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Second Moment of the ERH is about the time origin divided by the total excess rainfall. Check FAQs
MI2=MQ2-(n(n+1)K2)-(2nKMI1)
MI2 - Second Moment of the ERH?MQ2 - Second Moment of the DRH?n - Constant n?K - Constant K?MI1 - First Moment of the ERH?

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

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Here is how the Second Moment of ERH about Time Origin divided by Total Excess Rainfall equation looks like with Values.

Here is how the Second Moment of ERH about Time Origin divided by Total Excess Rainfall equation looks like with Units.

Here is how the Second Moment of ERH about Time Origin divided by Total Excess Rainfall equation looks like.

16Edit=448Edit-(3Edit(3Edit+1)4Edit2)-(23Edit4Edit10Edit)
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Second Moment of ERH about Time Origin divided by Total Excess Rainfall Solution

Follow our step by step solution on how to calculate Second Moment of ERH about Time Origin divided by Total Excess Rainfall?

FIRST Step Consider the formula
MI2=MQ2-(n(n+1)K2)-(2nKMI1)
Next Step Substitute values of Variables
MI2=448-(3(3+1)42)-(23410)
Next Step Prepare to Evaluate
MI2=448-(3(3+1)42)-(23410)
LAST Step Evaluate
MI2=16

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

Variables
Second Moment of the ERH
Second Moment of the ERH is about the time origin divided by the total excess rainfall.
Symbol: MI2
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Second Moment of the DRH
Second Moment of the DRH about the time origin divided by the total direct runoff.
Symbol: MQ2
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Constant n
Constant n is for the catchment to be determined by the effective rainfall of the catchment.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Constant K
Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Symbol: K
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
First Moment of the ERH
First Moment of the ERH about the time origin divided by the total effective rainfall.
Symbol: MI1
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Determination of n and S of Nash's Model category

​Go First Moment of DRH about Time Origin divided by Total Direct Runoff
MQ1=(nK)+MI1
​Go First Moment of ERH about Time Origin divided by Total Effective Rainfall
MI1=MQ1-(nK)
​Go Second Moment of DRH about Time Origin divided by Total Direct Runoff
MQ2=(n(n+1)K2)+(2nKMI1)+MI2
​Go First Moment of ERH given Second Moment of DRH
MI1=MQ2-MI2-(n(n+1)K2)2nK

How to Evaluate Second Moment of ERH about Time Origin divided by Total Excess Rainfall?

Second Moment of ERH about Time Origin divided by Total Excess Rainfall evaluator uses 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) to evaluate the Second Moment of the ERH, The Second Moment of ERH about Time Origin divided by Total Excess Rainfall formula is defined as the moment of effective rainfall hyetograph corresponding to the moment of Direct Runoff Hydrograph. Second Moment of the ERH is denoted by MI2 symbol.

How to evaluate Second Moment of ERH about Time Origin divided by Total Excess Rainfall using this online evaluator? To use this online evaluator for Second Moment of ERH about Time Origin divided by Total Excess Rainfall, enter Second Moment of the DRH (MQ2), Constant n (n), Constant K (K) & First Moment of the ERH (MI1) and hit the calculate button.

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

What is the formula to find Second Moment of ERH about Time Origin divided by Total Excess Rainfall?
The formula of Second Moment of ERH about Time Origin divided by Total Excess Rainfall is expressed as 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). Here is an example- 441.2548 = 448-(3*(3+1)*4^2)-(2*3*4*10).
How to calculate Second Moment of ERH about Time Origin divided by Total Excess Rainfall?
With Second Moment of the DRH (MQ2), Constant n (n), Constant K (K) & First Moment of the ERH (MI1) we can find Second Moment of ERH about Time Origin divided by Total Excess Rainfall using the formula - 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).
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