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

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Weighted Mean Slope derived for peak discharge is calculated by multiplying the weight (or probability) associated with a particular event or outcome. Check FAQs

S m = {(\frac{Q pd}{37.4 \cdot A^{\frac{3}{4}}})}^{\frac{3}{2}}

S_m - Weighted Mean Slope?Q_pd - Peak discharge of a D-h Unit hydrograph?A - Area of Catchment?

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

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Here is how the Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph equation looks like with Values.

Here is how the Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph equation looks like with Units.

Here is how the Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph equation looks like.

0.0105 = {(\frac{129031}{37.4 \cdot 3^{\frac{3}{4}}})}^{\frac{3}{2}}

0.0105 = {(\frac{129031m³/s}{37.4 \cdot {3km²}^{\frac{3}{4}}})}^{\frac{3}{2}}

0.0105 = {(\frac{129031}{37.4 \cdot 3^{\frac{3}{4}}})}^{\frac{3}{2}}

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

Follow our step by step solution on how to calculate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph?

FIRST Step Consider the formula

S m = {(\frac{Q pd}{37.4 \cdot A^{\frac{3}{4}}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

S m = {(\frac{129031m³/s}{37.4 \cdot {3km²}^{\frac{3}{4}}})}^{\frac{3}{2}}

Next Step Convert Units

∴

S m = {(\frac{129031m³/s}{37.4 \cdot {3E+6m²}^{\frac{3}{4}}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

S m = {(\frac{129031}{37.4 \cdot {3E+6}^{\frac{3}{4}}})}^{\frac{3}{2}}

Next Step Evaluate

∴

S m = 0.0104706171391974

LAST Step Rounding Answer

∴

S m = 0.0105

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

Variables

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.

Symbol: S_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Weighted Mean Slope

Peak discharge of a D-h Unit hydrograph

Peak discharge of a D-h Unit hydrograph is the maximum volume flow rate displays in a unit hydrograph.

Symbol: Q_pd

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Peak discharge of a D-h Unit hydrograph

Area of Catchment

Area of Catchment is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir.

Symbol: A

Measurement: AreaUnit: km²

Note: Value should be greater than 0.

Formulas to find Area of Catchment

Other formulas in The Indian Practice category

Go Peak Discharge of D-h Unit Hydrograph

Q pd = 1.79 \cdot A^{\frac{3}{4}}

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

Q pd = 37.4 \cdot A^{\frac{3}{4}} \cdot {S m}^{\frac{2}{3}}

Go Catchment Area given Peak Discharge of D-h Unit Hydrograph

A = {(\frac{Q pd}{1.79})}^{\frac{4}{3}}

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

A = {(\frac{Q pd}{37.4 \cdot {S m}^{\frac{2}{3}}})}^{\frac{4}{3}}

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

Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph evaluator uses Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2) to evaluate 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 evaluate Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph?

The formula of Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph is expressed as Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2). Here is an example- 0.010471 = (129031/(37.4*3000000^(3/4)))^(3/2).

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

With Peak discharge of a D-h Unit hydrograph (Q_pd) & Area of Catchment (A) we can find Weighted Mean Slope given Peak Discharge of D-h Unit Hydrograph using the formula - Weighted Mean Slope = (Peak discharge of a D-h Unit hydrograph/(37.4*Area of Catchment^(3/4)))^(3/2).

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