Velocity of Piston for Vertical Upward Force on Piston Calculator

✖Vertical component of force is the resolved force acting along the vertical direction.ⓘ Vertical Component of Force [F_v]			+10% -10%
✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Piston Length [L_P]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.ⓘ Diameter of Piston [D]			+10% -10%
✖Radial Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Radial Clearance [C_R]			+10% -10%

✖Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.ⓘ Velocity of Piston for Vertical Upward Force on Piston [v_piston]

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Velocity of Piston for Vertical Upward Force on Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))
v_piston = F_v/(L_P*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity of Piston - (Measured in Meter per Second) - Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Vertical Component of Force - (Measured in Newton) - Vertical component of force is the resolved force acting along the vertical direction.
Piston Length - (Measured in Meter) - Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Diameter of Piston - (Measured in Meter) - Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston.
Radial Clearance - (Measured in Meter) - Radial Clearance or gap is the distance between two surfaces adjacent to each other.

STEP 1: Convert Input(s) to Base Unit

Vertical Component of Force: 320 Newton --> 320 Newton No Conversion Required
Piston Length: 5 Meter --> 5 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Diameter of Piston: 3.5 Meter --> 3.5 Meter No Conversion Required
Radial Clearance: 0.45 Meter --> 0.45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_piston = F_v/(L_P*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) --> 320/(5*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2)))

Evaluating ... ...

v_piston = 0.0450212389494917

STEP 3: Convert Result to Output's Unit

0.0450212389494917 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0450212389494917 ≈ 0.045021 Meter per Second <-- Velocity of Piston

(Calculation completed in 00.008 seconds)

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< Velocity of Piston Calculators

Velocity of Piston given Velocity of Flow in Oil Tank

LaTeX Go Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance)

Velocity of Piston for Vertical Upward Force on Piston

LaTeX Go Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))

Velocity of Piston for Shear Force Resisting Motion of Piston

LaTeX Go Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Velocity of Pistons for Pressure Drop over Length of Piston

LaTeX Go Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))

Velocity of Piston for Vertical Upward Force on Piston Formula

LaTeX Go

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Velocity of Piston for Vertical Upward Force on Piston?

Velocity of Piston for Vertical Upward Force on Piston calculator uses Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))) to calculate the Velocity of Piston, The Velocity of Piston for Vertical Upward Force on Piston is defined as the average velocity with which oil or piston is moving in the tank. Velocity of Piston is denoted by v_piston symbol.

How to calculate Velocity of Piston for Vertical Upward Force on Piston using this online calculator? To use this online calculator for Velocity of Piston for Vertical Upward Force on Piston, enter Vertical Component of Force (F_v), Piston Length (L_P), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Velocity of Piston for Vertical Upward Force on Piston calculation can be explained with given input values -> 0.045021 = 320/(5*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

FAQ

What is Velocity of Piston for Vertical Upward Force on Piston?

The Velocity of Piston for Vertical Upward Force on Piston is defined as the average velocity with which oil or piston is moving in the tank and is represented as v_piston = F_v/(L_P*pi*μ*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))) or Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))). Vertical component of force is the resolved force acting along the vertical direction, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Diameter of Piston is the actual diameter of the piston while the bore is the size of the cylinder and will always be larger than the piston & Radial Clearance or gap is the distance between two surfaces adjacent to each other.

How to calculate Velocity of Piston for Vertical Upward Force on Piston?

The Velocity of Piston for Vertical Upward Force on Piston is defined as the average velocity with which oil or piston is moving in the tank is calculated using Velocity of Piston = Vertical Component of Force/(Piston Length*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))). To calculate Velocity of Piston for Vertical Upward Force on Piston, you need Vertical Component of Force (F_v), Piston Length (L_P), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Vertical Component of Force, Piston Length, Dynamic Viscosity, Diameter of Piston & Radial Clearance 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 Velocity of Piston?

In this formula, Velocity of Piston uses Vertical Component of Force, Piston Length, Dynamic Viscosity, Diameter of Piston & Radial Clearance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity of Piston = ((0.5*Pressure Gradient*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-Fluid Velocity in Oil Tank)*(Hydraulic Clearance/Horizontal Distance)
Velocity of Piston = Pressure Drop due to Friction/((6*Dynamic Viscosity*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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