FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Proportionate Velocity given Central Angle Formula

GoProportionate Velocity given Roughness Coefficient Formula

GoProportionate Velocity when Roughness Coefficient does not Vary with Depth Formula

Fx Copy

LaTeX Copy

Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full. Check FAQs

P v = {(1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})}^{\frac{2}{3}}

P_v - Proportionate Velocity?∠_central - Central Angle?π - Archimedes' constant?

Proportionate Velocity given Central Angle Example

With values

With units

Only example

Here is how the Proportionate Velocity given Central Angle equation looks like with Values.

Here is how the Proportionate Velocity given Central Angle equation looks like with Units.

Here is how the Proportionate Velocity given Central Angle equation looks like.

0.7007 = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120})}^{\frac{2}{3}}

0.7007 = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°})}^{\frac{2}{3}}

0.7007 = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120})}^{\frac{2}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Proportionate Velocity given Central Angle

Proportionate Velocity given Central Angle Solution

Follow our step by step solution on how to calculate Proportionate Velocity given Central Angle?

FIRST Step Consider the formula

P v = {(1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

P v = {(1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (120°)}{2 \cdot π \cdot 120°})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

P v = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°})}^{\frac{2}{3}}

Next Step Convert Units

∴

P v = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944rad)}{2 \cdot 3.1416 \cdot 2.0944rad})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

P v = {(1 - \frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944)}{2 \cdot 3.1416 \cdot 2.0944})}^{\frac{2}{3}}

Next Step Evaluate

∴

P v = 0.700670211345366

LAST Step Rounding Answer

∴

P v = 0.7007

Proportionate Velocity given Central Angle Formula Elements

Variables

Constants

Functions

Proportionate Velocity

Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full.

Symbol: P_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionate Velocity

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.

Symbol: ∠_central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Proportionate Velocity

Go Proportionate Velocity given Roughness Coefficient

P v = (\frac{N}{n p}) \cdot {(\frac{r pf}{r pf})}^{\frac{2}{3}}

Go Proportionate Velocity when Roughness Coefficient does not Vary with Depth

P v = {(\frac{r pf}{R rf})}^{\frac{2}{3}}

Go Proportionate Velocity given Velocity while Running Partially Full

P v = \frac{V s}{V}

Other formulas in Proportionate Velocity category

Go Velocity while Running Full given Proportionate Velocity

V = \frac{V s}{P v}

Go Roughness Coefficient while Running Full given Proportionate Velocity

N = \frac{P v \cdot n p}{{(\frac{r pf}{R rf})}^{\frac{2}{3}}}

Go Hydraulic Mean Depth while Running Full given Proportionate Velocity

R rf = {(\frac{{(r pf)}^{\frac{2}{3}}}{P v})}^{\frac{3}{2}}

How to Evaluate Proportionate Velocity given Central Angle?

Proportionate Velocity given Central Angle evaluator uses Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3) to evaluate 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 evaluate Proportionate Velocity given Central Angle using this online evaluator? To use this online evaluator for Proportionate Velocity given Central Angle, enter Central Angle (∠_central) and hit the calculate button.

FAQs on Proportionate Velocity given Central Angle

What is the formula to find Proportionate Velocity given Central Angle?

The formula of Proportionate Velocity given Central Angle is expressed as Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3). Here is an example- 0.214989 = (1-((360*pi/180)*sin(central_angle))/(2*pi*central_angle))^(2/3).

How to calculate Proportionate Velocity given Central Angle?

With Central Angle (∠_central) we can find Proportionate Velocity given Central Angle using the formula - Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Proportionate Velocity?

Here are the different ways to Calculate Proportionate Velocity-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit