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Proportionate Hydraulic Mean Depth given Central Angle Formula

GoProportionate Hydraulic Mean Depth given Hydraulic Mean Depth while Running Partially Full Formula

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Proportionate Hydraulic Mean Depth is ratio of hydraulic mean depth when water is partially full to hydraulic mean depth when water is totally full. Check FAQs

P hmd = (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})

P_hmd - Proportionate Hydraulic Mean Depth?∠_central - Central Angle?π - Archimedes' constant?

Proportionate Hydraulic Mean Depth given Central Angle Example

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Here is how the Proportionate Hydraulic Mean Depth given Central Angle equation looks like with Values.

Here is how the Proportionate Hydraulic Mean Depth given Central Angle equation looks like with Units.

Here is how the Proportionate Hydraulic Mean Depth given Central Angle equation looks like.

0.5865 = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120})

0.5865 = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°})

0.5865 = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120})

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Proportionate Hydraulic Mean Depth given Central Angle Solution

Follow our step by step solution on how to calculate Proportionate Hydraulic Mean Depth given Central Angle?

FIRST Step Consider the formula

P hmd = (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})

Next Step Substitute values of Variables

∴

P hmd = (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (120°)}{2 \cdot π \cdot 120°})

Next Step Substitute values of Constants

∴

P hmd = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°})

Next Step Convert Units

∴

P hmd = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944rad)}{2 \cdot 3.1416 \cdot 2.0944rad})

Next Step Prepare to Evaluate

∴

P hmd = (1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944)}{2 \cdot 3.1416 \cdot 2.0944})

Next Step Evaluate

∴

P hmd = 0.586503328433484

LAST Step Rounding Answer

∴

P hmd = 0.5865

Proportionate Hydraulic Mean Depth given Central Angle Formula Elements

Variables

Constants

Functions

Proportionate Hydraulic Mean Depth

Proportionate Hydraulic Mean Depth is ratio of hydraulic mean depth when water is partially full to hydraulic mean depth when water is totally full.

Symbol: P_hmd

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionate Hydraulic Mean Depth

Central Angle

A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

Symbol: ∠_central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Proportionate Hydraulic Mean Depth

Go Proportionate Hydraulic Mean Depth given Hydraulic Mean Depth while Running Partially Full

P hmd = \frac{r pf}{R rf}

Other formulas in Proportionate Hydraulic Mean Depth category

Go Hydraulic Mean Depth while Running Full given Proportionate Hydraulic Mean Depth

R rf = (\frac{r pf}{P hmd})

How to Evaluate Proportionate Hydraulic Mean Depth given Central Angle?

Proportionate Hydraulic Mean Depth given Central Angle evaluator uses Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)) to evaluate the Proportionate Hydraulic Mean Depth, The Proportionate Hydraulic Mean Depth given Central Angle is defined as the ratio of the hydraulic mean depth (area of flow divided by the wetted perimeter) in a partially filled pipe to that in a fully filled pipe. Proportionate Hydraulic Mean Depth is denoted by P_hmd symbol.

How to evaluate Proportionate Hydraulic Mean Depth given Central Angle using this online evaluator? To use this online evaluator for Proportionate Hydraulic Mean Depth given Central Angle, enter Central Angle (∠_central) and hit the calculate button.

FAQs on Proportionate Hydraulic Mean Depth given Central Angle

What is the formula to find Proportionate Hydraulic Mean Depth given Central Angle?

The formula of Proportionate Hydraulic Mean Depth given Central Angle is expressed as Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)). Here is an example- 0.099684 = (1-((360*pi/180)*sin(central_angle))/(2*pi*central_angle)).

How to calculate Proportionate Hydraulic Mean Depth given Central Angle?

With Central Angle (∠_central) we can find Proportionate Hydraulic Mean Depth given Central Angle using the formula - Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Proportionate Hydraulic Mean Depth?

Here are the different ways to Calculate Proportionate Hydraulic Mean Depth-

Proportionate Hydraulic Mean Depth=Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full

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