Proportionate Discharge given Central Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
Pq = ((central/(360*pi/180))-(sin(central)/(2*pi)))*(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 discharge - Proportionate discharge is the ratio of discharge while running partially full to running 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: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pq = ((∠central/(360*pi/180))-(sin(∠central)/(2*pi)))*(1-((360*pi/180)*sin(∠central))/(2*pi*∠central)) --> ((0.785398163397301/(360*pi/180))-(sin(0.785398163397301)/(2*pi)))*(1-((360*pi/180)*sin(0.785398163397301))/(2*pi*0.785398163397301))
Evaluating ... ...
Pq = 0.00124210460306012
STEP 3: Convert Result to Output's Unit
0.00124210460306012 --> No Conversion Required
FINAL ANSWER
0.00124210460306012 0.001242 <-- Proportionate discharge
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

6 Proportionate Discharge Calculators

Proportionate Discharge given Central Angle
Go Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
Area of Cross-section while Running Full given Proportionate Discharge
Go Area of cross-section of pipe = (Area of cross-section*Velocity while running partially full)/(Velocity while running full*Proportionate discharge)
Velocity while Running Full given Proportionate Discharge
Go Velocity while running full = (Velocity while running partially full*Area of cross-section)/(Proportionate discharge*Area of cross-section of pipe)
Proportionate Discharge given Area of Cross-Section
Go Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe)
Discharge when Pipe is Running Full using Proportionate Discharge
Go Discharge when pipe is running full = (Discharge when pipe is running partially full/Proportionate discharge)
Proportionate Discharge using Discharge when Pipe is Running Full
Go Proportionate discharge = Discharge when pipe is running partially full/Discharge when pipe is running full

Proportionate Discharge given Central Angle Formula

Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
Pq = ((central/(360*pi/180))-(sin(central)/(2*pi)))*(1-((360*pi/180)*sin(central))/(2*pi*central))

What is central angle ?

Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians).

How to Calculate Proportionate Discharge given Central Angle?

Proportionate Discharge given Central Angle calculator uses Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)) to calculate the Proportionate discharge, The Proportionate Discharge given Central Angle calculates the proportionate discharge when we have prior information of other parameters. Proportionate discharge is denoted by Pq symbol.

How to calculate Proportionate Discharge given Central Angle using this online calculator? To use this online calculator for Proportionate Discharge given Central Angle, enter Central Angle (∠central) and hit the calculate button. Here is how the Proportionate Discharge given Central Angle calculation can be explained with given input values -> 0.001242 = ((0.785398163397301/(360*pi/180))-(sin(0.785398163397301)/(2*pi)))*(1-((360*pi/180)*sin(0.785398163397301))/(2*pi*0.785398163397301)).

FAQ

What is Proportionate Discharge given Central Angle?
The Proportionate Discharge given Central Angle calculates the proportionate discharge when we have prior information of other parameters and is represented as Pq = ((∠central/(360*pi/180))-(sin(∠central)/(2*pi)))*(1-((360*pi/180)*sin(∠central))/(2*pi*∠central)) or Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(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 Discharge given Central Angle?
The Proportionate Discharge given Central Angle calculates the proportionate discharge when we have prior information of other parameters is calculated using Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)). To calculate Proportionate Discharge 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 discharge?
In this formula, Proportionate discharge uses Central Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Proportionate discharge = Discharge when pipe is running partially full/Discharge when pipe is running full
  • Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!