Velocity of Piston for Shear Force Resisting Motion of Piston Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [Fs]			+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%
✖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%
✖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 Shear Force Resisting Motion of Piston [v_piston]

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Velocity of Piston for Shear Force Resisting Motion of Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))
v_piston = Fs/(pi*μ*L_P*(1.5*(D/C_R)^2+4*(D/C_R)))
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.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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.
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

Shear Force: 90 Newton --> 90 Newton No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Piston Length: 5 Meter --> 5 Meter No Conversion Required
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 = Fs/(pi*μ*L_P*(1.5*(D/C_R)^2+4*(D/C_R))) --> 90/(pi*1.02*5*(1.5*(3.5/0.45)^2+4*(3.5/0.45)))

Evaluating ... ...

v_piston = 0.0460988749881764

STEP 3: Convert Result to Output's Unit

0.0460988749881764 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0460988749881764 ≈ 0.046099 Meter per Second <-- Velocity of Piston

(Calculation completed in 00.022 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 Shear Force Resisting Motion of Piston Formula

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What is Shear Force?

Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction. When the forces are colinear, they are called compression forces.

How to Calculate Velocity of Piston for Shear Force Resisting Motion of Piston?

Velocity of Piston for Shear Force Resisting Motion of Piston calculator uses Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))) to calculate the Velocity of Piston, The Velocity of Piston for Shear Force Resisting Motion of Piston is defined as the average speed with which piston is moving. Velocity of Piston is denoted by v_piston symbol.

How to calculate Velocity of Piston for Shear Force Resisting Motion of Piston using this online calculator? To use this online calculator for Velocity of Piston for Shear Force Resisting Motion of Piston, enter Shear Force (Fs), Dynamic Viscosity (μ), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Velocity of Piston for Shear Force Resisting Motion of Piston calculation can be explained with given input values -> 0.046099 = 90/(pi*1.02*5*(1.5*(3.5/0.45)^2+4*(3.5/0.45))).

FAQ

What is Velocity of Piston for Shear Force Resisting Motion of Piston?

The Velocity of Piston for Shear Force Resisting Motion of Piston is defined as the average speed with which piston is moving and is represented as v_piston = Fs/(pi*μ*L_P*(1.5*(D/C_R)^2+4*(D/C_R))) or Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). Shear Force is the force which causes shear deformation to occur in the shear plane, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, 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 Shear Force Resisting Motion of Piston?

The Velocity of Piston for Shear Force Resisting Motion of Piston is defined as the average speed with which piston is moving is calculated using Velocity of Piston = Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). To calculate Velocity of Piston for Shear Force Resisting Motion of Piston, you need Shear Force (Fs), Dynamic Viscosity (μ), Piston Length (L_P), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Shear Force, Dynamic Viscosity, Piston Length, 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 Shear Force, Dynamic Viscosity, Piston Length, 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 = 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)))

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