FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Length of Piston for Shear Force Resisting Motion of Piston Formula

GoLength of Piston for Pressure Drop over Piston Formula

GoLength of Piston for Vertical Upward Force on Piston Formula

Fx Copy

LaTeX Copy

Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length. Check FAQs

L P = \frac{Fs}{π \cdot μ \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))}

L_P - Piston Length?Fs - Shear Force?μ - Dynamic Viscosity?v_piston - Velocity of Piston?D - Diameter of Piston?C_R - Radial Clearance?π - Archimedes' constant?

Length of Piston for Shear Force Resisting Motion of Piston Example

With values

With units

Only example

Here is how the Length of Piston for Shear Force Resisting Motion of Piston equation looks like with Values.

Here is how the Length of Piston for Shear Force Resisting Motion of Piston equation looks like with Units.

Here is how the Length of Piston for Shear Force Resisting Motion of Piston equation looks like.

5.1221 = \frac{90}{3.1416 \cdot 10.2 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

5.1221m = \frac{90N}{3.1416 \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

5.1221 = \frac{90}{3.1416 \cdot 10.2 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Length of Piston for Shear Force Resisting Motion of Piston

Length of Piston for Shear Force Resisting Motion of Piston Solution

Follow our step by step solution on how to calculate Length of Piston for Shear Force Resisting Motion of Piston?

FIRST Step Consider the formula

L P = \frac{Fs}{π \cdot μ \cdot v piston \cdot (1.5 \cdot {(\frac{D}{C R})}^{2} + 4 \cdot (\frac{D}{C R}))}

Next Step Substitute values of Variables

∴

L P = \frac{90N}{π \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

Next Step Substitute values of Constants

∴

L P = \frac{90N}{3.1416 \cdot 10.2P \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

Next Step Convert Units

∴

L P = \frac{90N}{3.1416 \cdot 1.02Pa*s \cdot 0.045m/s \cdot (1.5 \cdot {(\frac{3.5m}{0.45m})}^{2} + 4 \cdot (\frac{3.5m}{0.45m}))}

Next Step Prepare to Evaluate

∴

L P = \frac{90}{3.1416 \cdot 1.02 \cdot 0.045 \cdot (1.5 \cdot {(\frac{3.5}{0.45})}^{2} + 4 \cdot (\frac{3.5}{0.45}))}

Next Step Evaluate

∴

L P = 5.12209722090849m

LAST Step Rounding Answer

∴

L P = 5.1221m

Length of Piston for Shear Force Resisting Motion of 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: L_P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piston Length

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: Fs

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

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.

Formulas to find Dynamic Viscosity

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: v_piston

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Piston

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.

Formulas to find Diameter of Piston

Radial Clearance

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

Symbol: C_R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Clearance

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 to find Piston Length

Go Length of Piston for Pressure Drop over Piston

L P = \frac{ΔPf}{(6 \cdot μ \cdot \frac{v piston}{{C R}^{3}}) \cdot (0.5 \cdot D + C R)}

Go Length of Piston for Vertical Upward Force on Piston

L P = \frac{F v}{v piston \cdot π \cdot μ \cdot (0.75 \cdot ({(\frac{D}{C R})}^{3}) + 1.5 \cdot ({(\frac{D}{C R})}^{2}))}

Other formulas in Dash Pot Mechanism category

Go Velocity of Flow in Oil Tank

u Oiltank = (dp|dr \cdot 0.5 \cdot \frac{R \cdot R - C H \cdot R}{μ}) - (v piston \cdot \frac{R}{C H})

Go Pressure Gradient given Velocity of Flow in Oil Tank

dp|dr = \frac{μ \cdot 2 \cdot (u Oiltank - (v piston \cdot \frac{R}{C H}))}{R \cdot R - C H \cdot R}

Go Pressure Gradient given Rate of Flow

dp|dr = (12 \cdot \frac{μ}{{C R}^{3}}) \cdot ((\frac{Q}{π} \cdot D) + v piston \cdot 0.5 \cdot C R)

Go Pressure Drop over Piston

ΔPf = (6 \cdot μ \cdot v piston \cdot \frac{L P}{{C R}^{3}}) \cdot (0.5 \cdot D + C R)

How to Evaluate Length of Piston for Shear Force Resisting Motion of Piston?

Length of Piston for Shear Force Resisting Motion of Piston evaluator uses Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))) to evaluate the Piston Length, The Length of Piston for Shear Force Resisting Motion of Piston is defined as total length of piston or tank in oil. Piston Length is denoted by L_P symbol.

How to evaluate Length of Piston for Shear Force Resisting Motion of Piston using this online evaluator? To use this online evaluator for Length of Piston for Shear Force Resisting Motion of Piston, enter Shear Force (Fs), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button.

FAQs on Length of Piston for Shear Force Resisting Motion of Piston

What is the formula to find Length of Piston for Shear Force Resisting Motion of Piston?

The formula of Length of Piston for Shear Force Resisting Motion of Piston is expressed as Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). Here is an example- 5.122097 = 90/(pi*1.02*0.045*(1.5*(3.5/0.45)^2+4*(3.5/0.45))).

How to calculate Length of Piston for Shear Force Resisting Motion of Piston?

With Shear Force (Fs), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) we can find Length of Piston for Shear Force Resisting Motion of Piston using the formula - Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Piston Length?

Here are the different ways to Calculate Piston Length-

Piston Length=Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Piston Length=Vertical Component of Force/(Velocity of Piston*pi*Dynamic Viscosity*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)))

Can the Length of Piston for Shear Force Resisting Motion of Piston be negative?

No, the Length of Piston for Shear Force Resisting Motion of Piston, measured in Length cannot be negative.

Which unit is used to measure Length of Piston for Shear Force Resisting Motion of Piston?

Length of Piston for Shear Force Resisting Motion of 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 Shear Force Resisting Motion of Piston can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Length of Piston for Shear Force Resisting Motion of Piston Formula

​GoLength of Piston for Pressure Drop over Piston Formula

​GoLength of Piston for Vertical Upward Force on Piston Formula

Length of Piston for Shear Force Resisting Motion of Piston Example

Length of Piston for Shear Force Resisting Motion of Piston Solution

Length of Piston for Shear Force Resisting Motion of Piston Formula Elements

Other Formulas to find Piston Length

Other formulas in Dash Pot Mechanism category

How to Evaluate Length of Piston for Shear Force Resisting Motion of Piston?

FAQs on Length of Piston for Shear Force Resisting Motion of Piston

Variable Name

GoLength of Piston for Pressure Drop over Piston Formula

GoLength of Piston for Vertical Upward Force on Piston Formula