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Proportionate Hydraulic Mean Depth given Central Angle Calculator

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✖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.ⓘ Central Angle [∠_central]

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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.ⓘ Proportionate Hydraulic Mean Depth given Central Angle [P_hmd]

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Formula

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Proportionate Hydraulic Mean Depth given Central Angle

Formula

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

Example

0.586503 = (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (120 °)}{2 \cdot π \cdot 120 °})

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Proportionate Hydraulic Mean Depth given Central Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
P_hmd = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

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.
Central Angle - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Central Angle: 120 Degree --> 2.0943951023928 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_hmd = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central)) --> (1-((360*pi/180)*sin(2.0943951023928))/(2*pi*2.0943951023928))

Evaluating ... ...

P_hmd = 0.586503328433484

STEP 3: Convert Result to Output's Unit

0.586503328433484 --> No Conversion Required

FINAL ANSWER

0.586503328433484 ≈ 0.586503 <-- Proportionate Hydraulic Mean Depth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Characteristics of Circular Sewers Sections » Circular Sewer Section Running Full » Proportionate Hydraulic Mean Depth » Proportionate Hydraulic Mean Depth given Central Angle

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Proportionate Hydraulic Mean Depth Calculators

Proportionate Hydraulic Mean Depth given Central Angle

Go Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))

Hydraulic Mean Depth while Running Full given Proportionate Hydraulic Mean Depth

Go Hydraulic Mean Depth while Running Full = (Hydraulic Mean Depth for Partially Full/Proportionate Hydraulic Mean Depth)

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

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

Proportionate Hydraulic Mean Depth given Central Angle Formula

Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
P_hmd = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))

What is Central Angle ?

The central angle is the angle subtended at the center of a circular pipe by the arc length of the wetted perimeter when the pipe is partially filled. This angle is essential for calculating flow characteristics like hydraulic radius and flow area in partially filled pipes. It helps in determining the distribution of flow within the pipe, affecting flow velocity, friction, and overall hydraulic performance, ensuring accurate design and analysis of drainage or sewer systems.

How to Calculate Proportionate Hydraulic Mean Depth given Central Angle?

Proportionate Hydraulic Mean Depth given Central Angle calculator uses Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)) to calculate 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 calculate Proportionate Hydraulic Mean Depth given Central Angle using this online calculator? To use this online calculator for Proportionate Hydraulic Mean Depth given Central Angle, enter Central Angle (∠_central) and hit the calculate button. Here is how the Proportionate Hydraulic Mean Depth given Central Angle calculation can be explained with given input values -> 0.099684 = (1-((360*pi/180)*sin(central_angle))/(2*pi*central_angle)).

FAQ

What is Proportionate Hydraulic Mean Depth given Central Angle?

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 and is represented as P_hmd = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central)) or Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*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.

How to calculate Proportionate Hydraulic Mean Depth given Central Angle?

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 is calculated using Proportionate Hydraulic Mean Depth = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)). To calculate Proportionate Hydraulic Mean Depth given Central Angle, you need Central Angle (∠_central). With our tool, you need to enter the respective value for Central Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Proportionate Hydraulic Mean Depth?

In this formula, Proportionate Hydraulic Mean Depth uses Central Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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