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Actual Fall at Stage given Actual Discharge Formula

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Actual Fall at a given stage to that of the actual discharge. Check FAQs

F = F o \cdot {(\frac{Q a}{Q 0})}^{\frac{1}{m}}

F - Actual Fall?F_o - Normalized Value of Fall?Q_a - Actual Discharge?Q₀ - Normalized Discharge?m - Exponent on Rating Curve?

Actual Fall at Stage given Actual Discharge Example

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Here is how the Actual Fall at Stage given Actual Discharge equation looks like with Values.

Here is how the Actual Fall at Stage given Actual Discharge equation looks like with Units.

Here is how the Actual Fall at Stage given Actual Discharge equation looks like.

2.4994 = 1.512 \cdot {(\frac{9}{7})}^{\frac{1}{0.5}}

2.4994m = 1.512m \cdot {(\frac{9m³/s}{7m³/s})}^{\frac{1}{0.5}}

2.4994 = 1.512 \cdot {(\frac{9}{7})}^{\frac{1}{0.5}}

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Actual Fall at Stage given Actual Discharge Solution

Follow our step by step solution on how to calculate Actual Fall at Stage given Actual Discharge?

FIRST Step Consider the formula

F = F o \cdot {(\frac{Q a}{Q 0})}^{\frac{1}{m}}

Next Step Substitute values of Variables

∴

F = 1.512m \cdot {(\frac{9m³/s}{7m³/s})}^{\frac{1}{0.5}}

Next Step Prepare to Evaluate

∴

F = 1.512 \cdot {(\frac{9}{7})}^{\frac{1}{0.5}}

Next Step Evaluate

∴

F = 2.49942857142857m

LAST Step Rounding Answer

∴

F = 2.4994m

Actual Fall at Stage given Actual Discharge Formula Elements

Variables

Actual Fall

Actual Fall at a given stage to that of the actual discharge.

Symbol: F

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Actual Fall

Normalized Value of Fall

Normalized Value of Fall to be constant at all stages.

Symbol: F_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normalized Value of Fall

Actual Discharge

Actual discharge is given by the actual area and velocity.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge

Normalized Discharge

Normalized Discharge at the given stage when the fall is equal to normalized value of the fall taken to be constant at all stages.

Symbol: Q₀

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Normalized Discharge

Exponent on Rating Curve

Exponent on rating curve with a value close to 0.5, Rating curve is a graph of discharge versus stage for given point on stream, usually at gauging stations.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Exponent on Rating Curve

Other formulas in Stage Discharge Relationship category

Go Actual Discharge from Backwater Effect on Rating Curve Normalized Curve

Q a = Q 0 \cdot {(\frac{F}{F o})}^{m}

Go Normalized Discharge of Backwater Effect on Rating Curve Normalized Curve

Q 0 = Q a \cdot {(\frac{F o}{F})}^{m}

Go Normalized Value of Fall given Discharge

F o = F \cdot {(\frac{Q 0}{Q a})}^{\frac{1}{m}}

Go Relationship between Stage and Discharge for Non-Alluvial Rivers

Q s = C r \cdot {(G - a)}^{β}

How to Evaluate Actual Fall at Stage given Actual Discharge?

Actual Fall at Stage given Actual Discharge evaluator uses Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve) to evaluate the Actual Fall, The Actual Fall at Stage given Actual Discharge formula is defined as the difference between the main gauge and secondary at a given stage to that of the actual discharge. Actual Fall is denoted by F symbol.

How to evaluate Actual Fall at Stage given Actual Discharge using this online evaluator? To use this online evaluator for Actual Fall at Stage given Actual Discharge, enter Normalized Value of Fall (F_o), Actual Discharge (Q_a), Normalized Discharge (Q₀) & Exponent on Rating Curve (m) and hit the calculate button.

FAQs on Actual Fall at Stage given Actual Discharge

What is the formula to find Actual Fall at Stage given Actual Discharge?

The formula of Actual Fall at Stage given Actual Discharge is expressed as Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve). Here is an example- 2.479592 = 1.512*(9/7)^(1/0.5).

How to calculate Actual Fall at Stage given Actual Discharge?

With Normalized Value of Fall (F_o), Actual Discharge (Q_a), Normalized Discharge (Q₀) & Exponent on Rating Curve (m) we can find Actual Fall at Stage given Actual Discharge using the formula - Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve).

Can the Actual Fall at Stage given Actual Discharge be negative?

No, the Actual Fall at Stage given Actual Discharge, measured in Length cannot be negative.

Which unit is used to measure Actual Fall at Stage given Actual Discharge?

Actual Fall at Stage given Actual Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Actual Fall at Stage given Actual Discharge can be measured.

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Actual Fall at Stage given Actual Discharge Formula

Actual Fall at Stage given Actual Discharge Example

Actual Fall at Stage given Actual Discharge Solution

Actual Fall at Stage given Actual Discharge Formula Elements

Other formulas in Stage Discharge Relationship category

How to Evaluate Actual Fall at Stage given Actual Discharge?

FAQs on Actual Fall at Stage given Actual Discharge

Variable Name