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First Moment of ERH given Second Moment of DRH Formula

GoFirst Moment of ERH about Time Origin divided by Total Effective Rainfall Formula

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First Moment of the ERH about the time origin divided by the total effective rainfall. Check FAQs

M I1 = \frac{M Q2 - M I2 - (n \cdot (n + 1) \cdot K^{2})}{2 \cdot n \cdot K}

M_I1 - First Moment of the ERH?M_Q2 - Second Moment of the DRH?M_I2 - Second Moment of the ERH?n - Constant n?K - Constant K?

First Moment of ERH given Second Moment of DRH Example

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Here is how the First Moment of ERH given Second Moment of DRH equation looks like with Values.

Here is how the First Moment of ERH given Second Moment of DRH equation looks like with Units.

Here is how the First Moment of ERH given Second Moment of DRH equation looks like.

10 = \frac{448 - 16 - (3 \cdot (3 + 1) \cdot 4^{2})}{2 \cdot 3 \cdot 4}

10 = \frac{448 - 16 - (3 \cdot (3 + 1) \cdot 4^{2})}{2 \cdot 3 \cdot 4}

10 = \frac{448 - 16 - (3 \cdot (3 + 1) \cdot 4^{2})}{2 \cdot 3 \cdot 4}

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First Moment of ERH given Second Moment of DRH Solution

Follow our step by step solution on how to calculate First Moment of ERH given Second Moment of DRH?

FIRST Step Consider the formula

M I1 = \frac{M Q2 - M I2 - (n \cdot (n + 1) \cdot K^{2})}{2 \cdot n \cdot K}

Next Step Substitute values of Variables

∴

M I1 = \frac{448 - 16 - (3 \cdot (3 + 1) \cdot 4^{2})}{2 \cdot 3 \cdot 4}

Next Step Prepare to Evaluate

∴

M I1 = \frac{448 - 16 - (3 \cdot (3 + 1) \cdot 4^{2})}{2 \cdot 3 \cdot 4}

LAST Step Evaluate

∴

M I1 = 10

First Moment of ERH given Second Moment of DRH Formula Elements

Variables

First Moment of the ERH

First Moment of the ERH about the time origin divided by the total effective rainfall.

Symbol: M_I1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find First Moment of the ERH

Second Moment of the DRH

Second Moment of the DRH about the time origin divided by the total direct runoff.

Symbol: M_Q2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Second Moment of the DRH

Second Moment of the ERH

Second Moment of the ERH is about the time origin divided by the total excess rainfall.

Symbol: M_I2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Second Moment of the ERH

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.

Formulas to find Constant n

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.

Formulas to find Constant K

Other Formulas to find First Moment of the ERH

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

M I1 = M Q1 - (n \cdot K)

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

M Q1 = (n \cdot K) + M I1

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

M I2 = M Q2 - (n \cdot (n + 1) \cdot K^{2}) - (2 \cdot n \cdot K \cdot M I1)

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

M Q2 = (n \cdot (n + 1) \cdot K^{2}) + (2 \cdot n \cdot K \cdot M I1) + M I2

Go First Moment of Instantaneous Unit Hydrograph or IUH

M 1 = n \cdot K

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

First Moment of ERH given Second Moment of DRH evaluator 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 evaluate 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 evaluate First Moment of ERH given Second Moment of DRH using this online evaluator? To use this online evaluator 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.

FAQs on First Moment of ERH given Second Moment of DRH

What is the formula to find First Moment of ERH given Second Moment of DRH?

The formula of First Moment of ERH given Second Moment of DRH is expressed as 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). Here is an example- 654.3255 = (448-16-(3*(3+1)*4^2))/(2*3*4).

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

With Second Moment of the DRH (M_Q2), Second Moment of the ERH (M_I2), Constant n (n) & Constant K (K) we can find First Moment of ERH given Second Moment of DRH using the formula - 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).

What are the other ways to Calculate First Moment of the ERH?

Here are the different ways to Calculate First Moment of the ERH-

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

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First Moment of ERH given Second Moment of DRH Formula

​GoFirst Moment of ERH about Time Origin divided by Total Effective Rainfall Formula

First Moment of ERH given Second Moment of DRH Example

First Moment of ERH given Second Moment of DRH Solution

First Moment of ERH given Second Moment of DRH Formula Elements

Other Formulas to find First Moment of the ERH

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

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

FAQs on First Moment of ERH given Second Moment of DRH

Variable Name

GoFirst Moment of ERH about Time Origin divided by Total Effective Rainfall Formula