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Length of Piston for Vertical Upward Force on Piston Formula

GoLength of Piston for Pressure Drop over Piston Formula

GoLength of Piston for Shear Force Resisting Motion of 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

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}))}

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

Length of Piston for Vertical Upward Force on Piston Example

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Here is how the Length of Piston for Vertical Upward Force on Piston equation looks like with Values.

Here is how the Length of Piston for Vertical Upward Force on Piston equation looks like with Units.

Here is how the Length of Piston for Vertical Upward Force on Piston equation looks like.

5.0024 = \frac{320}{0.045 \cdot 3.1416 \cdot 10.2 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

5.0024m = \frac{320N}{0.045m/s \cdot 3.1416 \cdot 10.2P \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

5.0024 = \frac{320}{0.045 \cdot 3.1416 \cdot 10.2 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

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Length of Piston for Vertical Upward Force on Piston Solution

Follow our step by step solution on how to calculate Length of Piston for Vertical Upward Force on Piston?

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

L P = \frac{320N}{0.045m/s \cdot π \cdot 10.2P \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

Next Step Substitute values of Constants

∴

L P = \frac{320N}{0.045m/s \cdot 3.1416 \cdot 10.2P \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

Next Step Convert Units

∴

L P = \frac{320N}{0.045m/s \cdot 3.1416 \cdot 1.02Pa*s \cdot (0.75 \cdot ({(\frac{3.5m}{0.45m})}^{3}) + 1.5 \cdot ({(\frac{3.5m}{0.45m})}^{2}))}

Next Step Prepare to Evaluate

∴

L P = \frac{320}{0.045 \cdot 3.1416 \cdot 1.02 \cdot (0.75 \cdot ({(\frac{3.5}{0.45})}^{3}) + 1.5 \cdot ({(\frac{3.5}{0.45})}^{2}))}

Next Step Evaluate

∴

L P = 5.00235988327686m

LAST Step Rounding Answer

∴

L P = 5.0024m

Length of Piston for Vertical Upward Force on 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

Vertical Component of Force

Vertical component of force is the resolved force acting along the vertical direction.

Symbol: F_v

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Vertical Component of Force

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

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

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 Shear Force Resisting Motion of Piston

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}))}

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 Vertical Upward Force on Piston?

Length of Piston for Vertical Upward Force on Piston evaluator uses 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))) to evaluate the Piston Length, The Length of Piston for Vertical Upward Force on Piston formula is defined as total length of tank under the action of piston force. Piston Length is denoted by L_P symbol.

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

FAQs on Length of Piston for Vertical Upward Force on Piston

What is the formula to find Length of Piston for Vertical Upward Force on Piston?

The formula of Length of Piston for Vertical Upward Force on Piston is expressed as 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))). Here is an example- 5.00236 = 320/(0.045*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

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

With Vertical Component of Force (F_v), Velocity of Piston (v_piston), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R) we can find Length of Piston for Vertical Upward Force on Piston using the formula - 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))). 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=Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

Can the Length of Piston for Vertical Upward Force on Piston be negative?

No, the Length of Piston for Vertical Upward Force on Piston, measured in Length cannot be negative.

Which unit is used to measure Length of Piston for Vertical Upward Force on Piston?

Length of Piston for Vertical Upward Force on 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 Vertical Upward Force on Piston can be measured.

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Length of Piston for Vertical Upward Force on Piston Formula

​GoLength of Piston for Pressure Drop over Piston Formula

​GoLength of Piston for Shear Force Resisting Motion of Piston Formula

Length of Piston for Vertical Upward Force on Piston Example

Length of Piston for Vertical Upward Force on Piston Solution

Length of Piston for Vertical Upward Force on Piston Formula Elements

Other Formulas to find Piston Length

Other formulas in Dash Pot Mechanism category

How to Evaluate Length of Piston for Vertical Upward Force on Piston?

FAQs on Length of Piston for Vertical Upward Force on Piston

Variable Name

GoLength of Piston for Pressure Drop over Piston Formula

GoLength of Piston for Shear Force Resisting Motion of Piston Formula