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Central Angle given Wetted Perimeter Calculator

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✖Wetted Perimeter for Partial Flow refers to the length of the pipe or channel's inner surface that is in contact with the flowing fluid when it is not running full.ⓘ Wetted Perimeter for Partial Flow [P_w]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖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 given Wetted Perimeter [∠_central]

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Central Angle given Wetted Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Angle = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Diameter of Pipe)
∠_central = (P_w*(360*pi/180))/(pi*D_pipe)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Wetted Perimeter for Partial Flow - (Measured in Meter) - Wetted Perimeter for Partial Flow refers to the length of the pipe or channel's inner surface that is in contact with the flowing fluid when it is not running full.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Wetted Perimeter for Partial Flow: 6.25 Meter --> 6.25 Meter No Conversion Required
Diameter of Pipe: 2.64 Meter --> 2.64 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_central = (P_w*(360*pi/180))/(pi*D_pipe) --> (6.25*(360*pi/180))/(pi*2.64)

Evaluating ... ...

∠_central = 4.73484848484848

STEP 3: Convert Result to Output's Unit

4.73484848484848 Radian -->271.286834815782 Degree (Check conversion here)

FINAL ANSWER

271.286834815782 ≈ 271.2868 Degree <-- Central Angle

(Calculation completed in 00.020 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 » Wetted Perimeter » Central Angle given Wetted Perimeter

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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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< Wetted Perimeter Calculators

Diameter of Pipe given Wetted Perimeter

LaTeX Go Diameter of Pipe = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Central Angle)

Wetted Perimeter given Central Angle

LaTeX Go Wetted Perimeter for Partial Flow = (pi*Diameter of Pipe*Central Angle)/(360*pi/180)

Wetted Perimeter while Running Full given Proportionate Perimeter

LaTeX Go Wetted Perimeter = Wetted Perimeter for Partial Flow/Proportionate perimeter

Wetted Perimeter given Proportionate Perimeter

LaTeX Go Wetted Perimeter for Partial Flow = Proportionate perimeter*Wetted Perimeter

Central Angle given Wetted Perimeter Formula

LaTeX Go

Central Angle = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Diameter of Pipe)
∠_central = (P_w*(360*pi/180))/(pi*D_pipe)

What is Wetted Perimeter?

The wetted perimeter is the length of the boundary in contact with the fluid in a cross-sectional area of a channel, pipe, or conduit. It plays a key role in calculating the hydraulic radius, which influences flow velocity and friction losses. In open channels and partially filled pipes, the wetted perimeter varies with the flow depth, affecting the system's efficiency and capacity. Accurate determination of the wetted perimeter is crucial for the design and analysis of efficient drainage, sewer, and water conveyance systems.

How to Calculate Central Angle given Wetted Perimeter?

Central Angle given Wetted Perimeter calculator uses Central Angle = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Diameter of Pipe) to calculate the Central Angle, The Central Angle given Wetted Perimeter is defined as the angle subtended at the center of a circular pipe by the arc length of the wetted perimeter when the pipe is partially filled. Central Angle is denoted by ∠_central symbol.

How to calculate Central Angle given Wetted Perimeter using this online calculator? To use this online calculator for Central Angle given Wetted Perimeter, enter Wetted Perimeter for Partial Flow (P_w) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Central Angle given Wetted Perimeter calculation can be explained with given input values -> 15543.59 = (6.25*(360*pi/180))/(pi*2.64).

FAQ

What is Central Angle given Wetted Perimeter?

The Central Angle given Wetted Perimeter is defined as the angle subtended at the center of a circular pipe by the arc length of the wetted perimeter when the pipe is partially filled and is represented as ∠_central = (P_w*(360*pi/180))/(pi*D_pipe) or Central Angle = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Diameter of Pipe). Wetted Perimeter for Partial Flow refers to the length of the pipe or channel's inner surface that is in contact with the flowing fluid when it is not running full & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Central Angle given Wetted Perimeter?

The Central Angle given Wetted Perimeter is defined as the angle subtended at the center of a circular pipe by the arc length of the wetted perimeter when the pipe is partially filled is calculated using Central Angle = (Wetted Perimeter for Partial Flow*(360*pi/180))/(pi*Diameter of Pipe). To calculate Central Angle given Wetted Perimeter, you need Wetted Perimeter for Partial Flow (P_w) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Wetted Perimeter for Partial Flow & Diameter of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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