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Velocity of Piston or Body for Movement of Piston in Dash-Pot Formula

GoVelocity at Any Radius given Radius of Pipe, and Maximum Velocity Formula

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Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction. Check FAQs

V = \frac{4 \cdot W b \cdot C^{3}}{3 \cdot π \cdot L \cdot {d p}^{3} \cdot μ}

V - Velocity of Fluid?W_b - Weight of Body?C - Clearance?L - Length of Pipe?d_p - Piston Diameter?μ - Viscosity of Fluid?π - Archimedes' constant?

Velocity of Piston or Body for Movement of Piston in Dash-Pot Example

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Here is how the Velocity of Piston or Body for Movement of Piston in Dash-Pot equation looks like with Values.

Here is how the Velocity of Piston or Body for Movement of Piston in Dash-Pot equation looks like with Units.

Here is how the Velocity of Piston or Body for Movement of Piston in Dash-Pot equation looks like.

363.8549 = \frac{4 \cdot 6780 \cdot {0.95}^{3}}{3 \cdot 3.1416 \cdot 3 \cdot {0.65}^{3} \cdot 8.23}

363.8549m/s = \frac{4 \cdot 6780N \cdot {0.95m}^{3}}{3 \cdot 3.1416 \cdot 3m \cdot {0.65m}^{3} \cdot 8.23N*s/m²}

363.8549 = \frac{4 \cdot 6780 \cdot {0.95}^{3}}{3 \cdot 3.1416 \cdot 3 \cdot {0.65}^{3} \cdot 8.23}

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Home » Physics » Mechanical » Fluid Mechanics » Velocity of Piston or Body for Movement of Piston in Dash-Pot

Velocity of Piston or Body for Movement of Piston in Dash-Pot Solution

Follow our step by step solution on how to calculate Velocity of Piston or Body for Movement of Piston in Dash-Pot?

FIRST Step Consider the formula

V = \frac{4 \cdot W b \cdot C^{3}}{3 \cdot π \cdot L \cdot {d p}^{3} \cdot μ}

Next Step Substitute values of Variables

∴

V = \frac{4 \cdot 6780N \cdot {0.95m}^{3}}{3 \cdot π \cdot 3m \cdot {0.65m}^{3} \cdot 8.23N*s/m²}

Next Step Substitute values of Constants

∴

V = \frac{4 \cdot 6780N \cdot {0.95m}^{3}}{3 \cdot 3.1416 \cdot 3m \cdot {0.65m}^{3} \cdot 8.23N*s/m²}

Next Step Convert Units

∴

V = \frac{4 \cdot 6780N \cdot {0.95m}^{3}}{3 \cdot 3.1416 \cdot 3m \cdot {0.65m}^{3} \cdot 8.23Pa*s}

Next Step Prepare to Evaluate

∴

V = \frac{4 \cdot 6780 \cdot {0.95}^{3}}{3 \cdot 3.1416 \cdot 3 \cdot {0.65}^{3} \cdot 8.23}

Next Step Evaluate

∴

V = 363.854888176151m/s

LAST Step Rounding Answer

∴

V = 363.8549m/s

Velocity of Piston or Body for Movement of Piston in Dash-Pot Formula Elements

Variables

Constants

Velocity of Fluid

Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Weight of Body

Weight of Body is the force acting on the object due to gravity.

Symbol: W_b

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Clearance

Clearance or gap is the distance between two surfaces adjacent to each other.

Symbol: C

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Piston Diameter

Piston diameter is the value of diameter of a piston of a pump.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

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

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Formula and 300+ more formulas!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Formula and 200+ more formulas!

Other Formulas to find Velocity of Fluid

Go Velocity at Any Radius given Radius of Pipe, and Maximum Velocity

V = V m \cdot (1 - {(\frac{r p}{\frac{d o}{2}})}^{2})

Other formulas in Fluid Flow and Resistance category

Go Shear Stress in Fluid or Oil of Journal Bearing

𝜏 = \frac{π \cdot μ \cdot D s \cdot N}{60 \cdot t}

Go Shear Force or Viscous Resistance in Journal Bearing

F s = \frac{π^{2} \cdot μ \cdot N \cdot L \cdot {D s}^{2}}{t}

Go Discharge in Capillary Tube Method

Q = \frac{4 \cdot π \cdot ρ \cdot [g] \cdot h \cdot {r p}^{4}}{128 \cdot μ \cdot L}

Go Drag Force in Falling Sphere Resistance Method

F D = 3 \cdot π \cdot μ \cdot U \cdot d

How to Evaluate Velocity of Piston or Body for Movement of Piston in Dash-Pot?

Velocity of Piston or Body for Movement of Piston in Dash-Pot evaluator uses Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid) to evaluate the Velocity of Fluid, The Velocity of piston or body for movement of piston in dash-pot formula is known while considering the weight, length, and diameter of the piston, viscosity of fluid or oil, and the clearance between dash-pot and piston. Velocity of Fluid is denoted by V symbol.

How to evaluate Velocity of Piston or Body for Movement of Piston in Dash-Pot using this online evaluator? To use this online evaluator for Velocity of Piston or Body for Movement of Piston in Dash-Pot, enter Weight of Body (W_b), Clearance (C), Length of Pipe (L), Piston Diameter (d_p) & Viscosity of Fluid (μ) and hit the calculate button.

FAQs on Velocity of Piston or Body for Movement of Piston in Dash-Pot

What is the formula to find Velocity of Piston or Body for Movement of Piston in Dash-Pot?

The formula of Velocity of Piston or Body for Movement of Piston in Dash-Pot is expressed as Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid). Here is an example- 363.8549 = (4*6780*0.95^3)/(3*pi*3*0.65^3*8.23).

How to calculate Velocity of Piston or Body for Movement of Piston in Dash-Pot?

With Weight of Body (W_b), Clearance (C), Length of Pipe (L), Piston Diameter (d_p) & Viscosity of Fluid (μ) we can find Velocity of Piston or Body for Movement of Piston in Dash-Pot using the formula - Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid). This formula also uses Archimedes' constant .

What are the other ways to Calculate Velocity of Fluid?

Here are the different ways to Calculate Velocity of Fluid-

Velocity of Fluid=Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Can the Velocity of Piston or Body for Movement of Piston in Dash-Pot be negative?

No, the Velocity of Piston or Body for Movement of Piston in Dash-Pot, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Piston or Body for Movement of Piston in Dash-Pot?

Velocity of Piston or Body for Movement of Piston in Dash-Pot 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 Piston or Body for Movement of Piston in Dash-Pot can be measured.