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Proportionate Velocity 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 Velocity is ratio of velocity when water is partially full to velocity when water is totally full.ⓘ Proportionate Velocity given Central Angle [P_v]

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Proportionate Velocity given Central Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)
P_v = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))^(2/3)
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 Velocity - Proportionate Velocity is ratio of velocity when water is partially full to velocity 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_v = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))^(2/3) --> (1-((360*pi/180)*sin(2.0943951023928))/(2*pi*2.0943951023928))^(2/3)

Evaluating ... ...

P_v = 0.700670211345366

STEP 3: Convert Result to Output's Unit

0.700670211345366 --> No Conversion Required

FINAL ANSWER

0.700670211345366 ≈ 0.70067 <-- Proportionate Velocity

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Proportionate Velocity Calculators

Proportionate Velocity given Roughness Coefficient

LaTeX Go Proportionate Velocity = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth for Partially Full)^(2/3)

Proportionate Velocity given Central Angle

LaTeX Go Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)

Proportionate Velocity when Roughness Coefficient does not Vary with Depth

LaTeX Go Proportionate Velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)

Proportionate Velocity given Velocity while Running Partially Full

LaTeX Go Proportionate Velocity = Velocity in a Partially Running Sewer/Velocity While Running Full

Proportionate Velocity given Central Angle Formula

LaTeX Go

Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)
P_v = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))^(2/3)

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 Velocity given Central Angle?

Proportionate Velocity given Central Angle calculator uses Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3) to calculate the Proportionate Velocity, The Proportionate Velocity given Central Angle is defined as the ratio of the fluid velocity in a partially filled pipe to the velocity when the pipe is fully filled. Proportionate Velocity is denoted by P_v symbol.

How to calculate Proportionate Velocity given Central Angle using this online calculator? To use this online calculator for Proportionate Velocity given Central Angle, enter Central Angle (∠_central) and hit the calculate button. Here is how the Proportionate Velocity given Central Angle calculation can be explained with given input values -> 0.214989 = (1-((360*pi/180)*sin(central_angle))/(2*pi*central_angle))^(2/3).

FAQ

What is Proportionate Velocity given Central Angle?

The Proportionate Velocity given Central Angle is defined as the ratio of the fluid velocity in a partially filled pipe to the velocity when the pipe is fully filled and is represented as P_v = (1-((360*pi/180)*sin(∠_central))/(2*pi*∠_central))^(2/3) or Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3). 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 Velocity given Central Angle?

The Proportionate Velocity given Central Angle is defined as the ratio of the fluid velocity in a partially filled pipe to the velocity when the pipe is fully filled is calculated using Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3). To calculate Proportionate Velocity 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 Velocity?

In this formula, Proportionate Velocity uses Central Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Proportionate Velocity = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth for Partially Full)^(2/3)
Proportionate Velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
Proportionate Velocity = Velocity in a Partially Running Sewer/Velocity While Running Full

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