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Central Angle given Proportionate Perimeter Calculator

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✖Proportionate perimeter is the ratio of perimeter while running partially full to running full.ⓘ Proportionate perimeter [P_p]

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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 given Proportionate Perimeter [∠_central]

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Central Angle given Proportionate Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Angle = (Proportionate perimeter*(360*pi/180))
∠_central = (P_p*(360*pi/180))
This formula uses 1 Constants, 2 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.
Proportionate perimeter - Proportionate perimeter is the ratio of perimeter while running partially full to running full.

STEP 1: Convert Input(s) to Base Unit

Proportionate perimeter: 0.52 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_central = (P_p*(360*pi/180)) --> (0.52*(360*pi/180))

Evaluating ... ...

∠_central = 3.26725635973339

STEP 3: Convert Result to Output's Unit

3.26725635973339 Radian -->187.200000000035 Degree (Check conversion here)

FINAL ANSWER

187.200000000035 ≈ 187.2 Degree <-- Central Angle

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Proportionate Perimeter Calculators

Proportionate Perimeter given Wetted Perimeter

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

Proportionate Perimeter given Central Angle

LaTeX Go Proportionate perimeter = (Central Angle/(360*pi/180))

Central Angle given Proportionate Perimeter

LaTeX Go Central Angle = (Proportionate perimeter*(360*pi/180))

Central Angle given Proportionate Perimeter Formula

LaTeX Go

Central Angle = (Proportionate perimeter*(360*pi/180))
∠_central = (P_p*(360*pi/180))

What is Proportionate Perimeter?

Proportionate perimeter refers to the ratio of the wetted perimeter of a partially filled pipe or channel to the wetted perimeter when it is fully filled. This ratio is crucial for analyzing flow dynamics, as it influences the hydraulic radius, flow velocity, and friction losses within the system. Understanding the proportionate perimeter helps in optimizing the design of sewer and drainage systems to ensure efficient water conveyance under varying flow conditions, ultimately improving system performance and reliability.

How to Calculate Central Angle given Proportionate Perimeter?

Central Angle given Proportionate Perimeter calculator uses Central Angle = (Proportionate perimeter*(360*pi/180)) to calculate the Central Angle, The Central Angle given Proportionate Perimeter is an angle whose apex (vertex) 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 Proportionate Perimeter using this online calculator? To use this online calculator for Central Angle given Proportionate Perimeter, enter Proportionate perimeter (P_p) and hit the calculate button. Here is how the Central Angle given Proportionate Perimeter calculation can be explained with given input values -> 10725.77 = (0.52*(360*pi/180)).

FAQ

What is Central Angle given Proportionate Perimeter?

The Central Angle given Proportionate Perimeter is an angle whose apex (vertex) 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_p*(360*pi/180)) or Central Angle = (Proportionate perimeter*(360*pi/180)). Proportionate perimeter is the ratio of perimeter while running partially full to running full.

How to calculate Central Angle given Proportionate Perimeter?

The Central Angle given Proportionate Perimeter is an angle whose apex (vertex) 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 = (Proportionate perimeter*(360*pi/180)). To calculate Central Angle given Proportionate Perimeter, you need Proportionate perimeter (P_p). With our tool, you need to enter the respective value for Proportionate perimeter 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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