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Velocity of Liquid in Pipe Formula

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The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time. Check FAQs

v l = \frac{A}{a} \cdot ω \cdot r \cdot \sin (ω \cdot t s)

v_l - Velocity of Liquid?A - Area of Cylinder?a - Area of Pipe?ω - Angular Velocity?r - Radius of Crank?t_s - Time in Seconds?

Velocity of Liquid in Pipe Example

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Here is how the Velocity of Liquid in Pipe equation looks like with Values.

Here is how the Velocity of Liquid in Pipe equation looks like with Units.

Here is how the Velocity of Liquid in Pipe equation looks like.

0.9224 = \frac{0.6}{0.1} \cdot 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

0.9224m/s = \frac{0.6m²}{0.1m²} \cdot 2.5rad/s \cdot 0.09m \cdot \sin (2.5rad/s \cdot 38s)

0.9224 = \frac{0.6}{0.1} \cdot 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

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Velocity of Liquid in Pipe Solution

Follow our step by step solution on how to calculate Velocity of Liquid in Pipe?

FIRST Step Consider the formula

v l = \frac{A}{a} \cdot ω \cdot r \cdot \sin (ω \cdot t s)

Next Step Substitute values of Variables

∴

v l = \frac{0.6m²}{0.1m²} \cdot 2.5rad/s \cdot 0.09m \cdot \sin (2.5rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

v l = \frac{0.6}{0.1} \cdot 2.5 \cdot 0.09 \cdot \sin (2.5 \cdot 38)

Next Step Evaluate

∴

v l = 0.922403314893763m/s

LAST Step Rounding Answer

∴

v l = 0.9224m/s

Velocity of Liquid in Pipe Formula Elements

Variables

Functions

Velocity of Liquid

The Velocity of Liquid in the pipe is defined as the product of the ratio of areas of the cylinder to the pipe, angular velocity, the radius of crank and sin of angular velocity and time.

Symbol: v_l

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Liquid

Area of Cylinder

Area of Cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Cylinder

Area of Pipe

Area of Pipe is the cross-sectional area through which liquid is flowing and it is denoted by the symbol a.

Symbol: a

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Pipe

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Radius of Crank

Radius of Crank is defined as the distance between crank pin and crank center, i.e. half stroke.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Crank

Time in Seconds

Time in Seconds is what a clock reads, it is a scalar quantity.

Symbol: t_s

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in Seconds

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 in Flow Parameters category

Go Weight of water delivered per second

W = S w \cdot Q

Go Weight of Water delivered per second given Density and Discharge

W w = ρ w \cdot [g] \cdot Q

Go Rate of flow of liquid into air vessel

Q r = A \cdot ω \cdot r c \cdot (\sin (θ) - \frac{2}{π})

Go Acceleration of liquid in pipe

a l = (\frac{A}{a}) \cdot ω^{2} \cdot r \cdot \cos (ω \cdot t s)

How to Evaluate Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe evaluator uses Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds) to evaluate the Velocity of Liquid, Velocity of Liquid in Pipe formula is defined as the rate of flow of liquid through a pipe in a reciprocating pump system, influenced by factors such as the cross-sectional area of the pipe, angular velocity, radius, and time, which collectively impact the liquid's movement and pressure. Velocity of Liquid is denoted by v_l symbol.

How to evaluate Velocity of Liquid in Pipe using this online evaluator? To use this online evaluator for Velocity of Liquid in Pipe, enter Area of Cylinder (A), Area of Pipe (a), Angular Velocity (ω), Radius of Crank (r) & Time in Seconds (t_s) and hit the calculate button.

FAQs on Velocity of Liquid in Pipe

What is the formula to find Velocity of Liquid in Pipe?

The formula of Velocity of Liquid in Pipe is expressed as Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds). Here is an example- 0.922403 = 0.6/0.1*2.5*0.09*sin(2.5*38).

How to calculate Velocity of Liquid in Pipe?

With Area of Cylinder (A), Area of Pipe (a), Angular Velocity (ω), Radius of Crank (r) & Time in Seconds (t_s) we can find Velocity of Liquid in Pipe using the formula - Velocity of Liquid = Area of Cylinder/Area of Pipe*Angular Velocity*Radius of Crank*sin(Angular Velocity*Time in Seconds). This formula also uses Sine (sin) function(s).

Can the Velocity of Liquid in Pipe be negative?

Yes, the Velocity of Liquid in Pipe, measured in Speed can be negative.

Which unit is used to measure Velocity of Liquid in Pipe?

Velocity of Liquid in Pipe is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Liquid in Pipe can be measured.

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Velocity of Liquid in Pipe Formula

Velocity of Liquid in Pipe Example

Velocity of Liquid in Pipe Solution

Velocity of Liquid in Pipe Formula Elements

Other formulas in Flow Parameters category

How to Evaluate Velocity of Liquid in Pipe?

FAQs on Velocity of Liquid in Pipe

Variable Name