Length of Piston for Total Force in Piston Calculator

✖The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.ⓘ Total Force in Piston [F_Total]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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 [v_piston]			+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%

✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Length of Piston for Total Force in Piston [L_P]

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Formula

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Length of Piston for Total Force in Piston

Formula

`"L"_{"P"} = "F"_{"Total"}/(0.75*pi*"μ"_{"viscosity"}*"v"_{"piston"}*(("D"/"C"_{"R"})^3))`

Example

`"4.913032m"="2.5N"/(0.75*pi*"10.2P"*"0.045m/s"*(("3.5m"/"0.45m")^3))`

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Length of Piston for Total Force in Piston Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3))
L_P = F_Total/(0.75*pi*μ_viscosity*v_piston*((D/C_R)^3))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Total Force in Piston - (Measured in Newton) - The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.
Dynamic Viscosity - (Measured in Kilopoise) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
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.
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

Total Force in Piston: 2.5 Newton --> 2.5 Newton No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 0.0102 Kilopoise (Check conversion here)
Velocity of Piston: 0.045 Meter per Second --> 0.045 Meter per Second 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

L_P = F_Total/(0.75*pi*μ_viscosity*v_piston*((D/C_R)^3)) --> 2.5/(0.75*pi*0.0102*0.045*((3.5/0.45)^3))

Evaluating ... ...

L_P = 4.91303202821834

STEP 3: Convert Result to Output's Unit

4.91303202821834 Meter --> No Conversion Required

FINAL ANSWER

4.91303202821834 ≈ 4.913032 Meter <-- Piston Length

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash-Pot Mechanism » When Piston Velocity is Negligible to Average Velocity of Oil in Clearance Space » When Shear Force is Negligible » Length of Piston for Total Force in Piston

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 2 When Shear Force is Negligible Calculators

Dynamic Viscosity for Total Force in piston

Go Dynamic Viscosity = Total Force in Piston/(0.75*pi*Velocity of Piston*Piston Length*((Diameter of Piston/Radial Clearance)^3))

Length of Piston for Total Force in Piston

Go Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3))

Length of Piston for Total Force in Piston Formula

Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3))
L_P = F_Total/(0.75*pi*μ_viscosity*v_piston*((D/C_R)^3))

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 Length of Piston for Total Force in Piston?

Length of Piston for Total Force in Piston calculator uses Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)) to calculate the Piston Length, The Length of Piston for Total Force in piston is defined as total length of piston or tank in oil. Piston Length is denoted by L_P symbol.

How to calculate Length of Piston for Total Force in Piston using this online calculator? To use this online calculator for Length of Piston for Total Force in Piston, enter Total Force in Piston (F_Total), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Length of Piston for Total Force in Piston calculation can be explained with given input values -> 4.913032 = 2.5/(0.75*pi*1.02*0.045*((3.5/0.45)^3)).

FAQ

What is Length of Piston for Total Force in Piston?

The Length of Piston for Total Force in piston is defined as total length of piston or tank in oil and is represented as L_P = F_Total/(0.75*pi*μ_viscosity*v_piston*((D/C_R)^3)) or Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)). The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity, 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 Length of Piston for Total Force in Piston?

The Length of Piston for Total Force in piston is defined as total length of piston or tank in oil is calculated using Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)). To calculate Length of Piston for Total Force in Piston, you need Total Force in Piston (F_Total), Dynamic Viscosity (μ_viscosity), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Total Force in Piston, Dynamic Viscosity, Velocity of Piston, 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.

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