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Acceleration of liquid in pipe Formula

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Acceleration of liquid flowing is defined as the product of ratio of areas of cylinder to the pipe, square of angular velocity, radius of crank and cos of angular velocity and time. Check FAQs

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

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

Acceleration of liquid in pipe Example

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Here is how the Acceleration of liquid in pipe equation looks like with Values.

Here is how the Acceleration of liquid in pipe equation looks like with Units.

Here is how the Acceleration of liquid in pipe equation looks like.

2.4643 = (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (2.5 \cdot 38)

2.4643m/s² = (\frac{0.6m²}{0.1m²}) \cdot {2.5rad/s}^{2} \cdot 0.09m \cdot \cos (2.5rad/s \cdot 38s)

2.4643 = (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (2.5 \cdot 38)

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Acceleration of liquid in pipe Solution

Follow our step by step solution on how to calculate Acceleration of liquid in pipe?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a l = (\frac{0.6m²}{0.1m²}) \cdot {2.5rad/s}^{2} \cdot 0.09m \cdot \cos (2.5rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

a l = (\frac{0.6}{0.1}) \cdot {2.5}^{2} \cdot 0.09 \cdot \cos (2.5 \cdot 38)

Next Step Evaluate

∴

a l = 2.46433576835752m/s²

LAST Step Rounding Answer

∴

a l = 2.4643m/s²

Acceleration of liquid in pipe Formula Elements

Variables

Functions

Acceleration of Liquid

Acceleration of liquid flowing is defined as the product of ratio of areas of cylinder to the pipe, square of angular velocity, radius of crank and cos of angular velocity and time.

Symbol: a_l

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Velocity of Liquid in Pipe

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

How to Evaluate Acceleration of liquid in pipe?

Acceleration of liquid in pipe evaluator uses Acceleration of Liquid = (Area of Cylinder/Area of Pipe)*Angular Velocity^2*Radius of Crank*cos(Angular Velocity*Time in Seconds) to evaluate the Acceleration of Liquid, Acceleration of liquid in pipe formula is defined as the rate of change of velocity of a liquid flowing through a pipe, influenced by factors such as pipe diameter, angular velocity, and radial distance, which is crucial in understanding the dynamics of fluid flow in reciprocating pumps. Acceleration of Liquid is denoted by a_l symbol.

How to evaluate Acceleration of liquid in pipe using this online evaluator? To use this online evaluator for Acceleration 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 Acceleration of liquid in pipe

What is the formula to find Acceleration of liquid in pipe?

The formula of Acceleration of liquid in pipe is expressed as Acceleration of Liquid = (Area of Cylinder/Area of Pipe)*Angular Velocity^2*Radius of Crank*cos(Angular Velocity*Time in Seconds). Here is an example- 2.464336 = (0.6/0.1)*2.5^2*0.09*cos(2.5*38).

How to calculate Acceleration 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 Acceleration of liquid in pipe using the formula - Acceleration of Liquid = (Area of Cylinder/Area of Pipe)*Angular Velocity^2*Radius of Crank*cos(Angular Velocity*Time in Seconds). This formula also uses Cosine (cos) function(s).

Can the Acceleration of liquid in pipe be negative?

Yes, the Acceleration of liquid in pipe, measured in Acceleration can be negative.

Which unit is used to measure Acceleration of liquid in pipe?

Acceleration of liquid in pipe is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Acceleration of liquid in pipe can be measured.

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Acceleration of liquid in pipe Formula

Acceleration of liquid in pipe Example

Acceleration of liquid in pipe Solution

Acceleration of liquid in pipe Formula Elements

Other formulas in Flow Parameters category

How to Evaluate Acceleration of liquid in pipe?

FAQs on Acceleration of liquid in pipe

Variable Name