Length of Piston for Total Force in Piston Formula

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Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length. Check FAQs
LP=FTotal0.75πμvpiston((DCR)3)
LP - Piston Length?FTotal - Total Force in Piston?μ - Dynamic Viscosity?vpiston - Velocity of Piston?D - Diameter of Piston?CR - Radial Clearance?π - Archimedes' constant?

Length of Piston for Total Force in Piston Example

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With units
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Here is how the Length of Piston for Total Force in Piston equation looks like with Values.

Here is how the Length of Piston for Total Force in Piston equation looks like with Units.

Here is how the Length of Piston for Total Force in Piston equation looks like.

4.913Edit=2.5Edit0.753.141610.2Edit0.045Edit((3.5Edit0.45Edit)3)
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Length of Piston for Total Force in Piston Solution

Follow our step by step solution on how to calculate Length of Piston for Total Force in Piston?

FIRST Step Consider the formula
LP=FTotal0.75πμvpiston((DCR)3)
Next Step Substitute values of Variables
LP=2.5N0.75π10.2P0.045m/s((3.5m0.45m)3)
Next Step Substitute values of Constants
LP=2.5N0.753.141610.2P0.045m/s((3.5m0.45m)3)
Next Step Convert Units
LP=2.5N0.753.14160.0102kP0.045m/s((3.5m0.45m)3)
Next Step Prepare to Evaluate
LP=2.50.753.14160.01020.045((3.50.45)3)
Next Step Evaluate
LP=4.91303202821834m
LAST Step Rounding Answer
LP=4.913m

Length of Piston for Total Force in Piston Formula Elements

Variables
Constants
Piston Length
Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.
Symbol: LP
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Total Force in Piston
The Total Force in Piston is the sum of pressure forces acting on its surface due to the fluid flow.
Symbol: FTotal
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Dynamic Viscosity
The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Symbol: μ
Measurement: Dynamic ViscosityUnit: P
Note: Value should be greater than 0.
Velocity of Piston
Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity.
Symbol: vpiston
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Diameter of Piston
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.
Symbol: D
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Radial Clearance
Radial Clearance or gap is the distance between two surfaces adjacent to each other.
Symbol: CR
Measurement: LengthUnit: m
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

Other formulas in When Shear Force is Negligible category

​Go Dynamic Viscosity for Total Force in piston
μ=FTotal0.75πvpistonLP((DCR)3)

How to Evaluate Length of Piston for Total Force in Piston?

Length of Piston for Total Force in Piston evaluator uses Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)) to evaluate 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 LP symbol.

How to evaluate Length of Piston for Total Force in Piston using this online evaluator? To use this online evaluator for Length of Piston for Total Force in Piston, enter Total Force in Piston (FTotal), Dynamic Viscosity (μ), Velocity of Piston (vpiston), Diameter of Piston (D) & Radial Clearance (CR) and hit the calculate button.

FAQs on Length of Piston for Total Force in Piston

What is the formula to find Length of Piston for Total Force in Piston?
The formula of Length of Piston for Total Force in Piston is expressed as Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)). Here is an example- 4.913032 = 2.5/(0.75*pi*1.02*0.045*((3.5/0.45)^3)).
How to calculate Length of Piston for Total Force in Piston?
With Total Force in Piston (FTotal), Dynamic Viscosity (μ), Velocity of Piston (vpiston), Diameter of Piston (D) & Radial Clearance (CR) we can find Length of Piston for Total Force in Piston using the formula - Piston Length = Total Force in Piston/(0.75*pi*Dynamic Viscosity*Velocity of Piston*((Diameter of Piston/Radial Clearance)^3)). This formula also uses Archimedes' constant .
Can the Length of Piston for Total Force in Piston be negative?
No, the Length of Piston for Total Force in Piston, measured in Length cannot be negative.
Which unit is used to measure Length of Piston for Total Force in Piston?
Length of Piston for Total Force in Piston is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Piston for Total Force in Piston can be measured.
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