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Velocity of Piston for Vertical Upward Force on Piston Formula

GoVelocity of Piston given Velocity of Flow in Oil Tank Formula

GoVelocity of Pistons for Pressure Drop over Length of Piston Formula

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Velocity of piston in reciprocating pump is defined as the product of sin of angular velocity and time, radius of crank and angular velocity. Check FAQs

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

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

Velocity of Piston for Vertical Upward Force on Piston Example

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

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

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

0.045 = \frac{320}{5 \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}))}

0.045m/s = \frac{320N}{5m \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}))}

0.045 = \frac{320}{5 \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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Velocity of Piston for Vertical Upward Force on Piston Solution

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

FIRST Step Consider the formula

v piston = \frac{F v}{L P \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

∴

v piston = \frac{320N}{5m \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

∴

v piston = \frac{320N}{5m \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

∴

v piston = \frac{320N}{5m \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

∴

v piston = \frac{320}{5 \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

∴

v piston = 0.0450212389494917m/s

LAST Step Rounding Answer

∴

v piston = 0.045m/s

Velocity of Piston for Vertical Upward Force on Piston Formula Elements

Variables

Constants

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

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

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

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 Velocity of Piston

Go Velocity of Piston given Velocity of Flow in Oil Tank

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

Go Velocity of Pistons for Pressure Drop over Length of Piston

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

Go Velocity of Piston for Shear Force Resisting Motion of Piston

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

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

Velocity of Piston for Vertical Upward Force on Piston evaluator uses 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))) to evaluate the Velocity of Piston, The Velocity of Piston for Vertical Upward Force on Piston is defined as the average velocity with which oil or piston is moving in the tank. Velocity of Piston is denoted by v_piston symbol.

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

FAQs on Velocity of Piston for Vertical Upward Force on Piston

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

The formula of Velocity of Piston for Vertical Upward Force on Piston is expressed as 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))). Here is an example- 0.045021 = 320/(5*pi*1.02*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))).

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

With Vertical Component of Force (F_v), Piston Length (L_P), Dynamic Viscosity (μ), Diameter of Piston (D) & Radial Clearance (C_R) we can find Velocity of Piston for Vertical Upward Force on Piston using the formula - 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))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Velocity of Piston?

Here are the different ways to Calculate Velocity of Piston-

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=Shear Force/(pi*Dynamic Viscosity*Piston Length*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))

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

Yes, the Velocity of Piston for Vertical Upward Force on Piston, measured in Speed can be negative.

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

Velocity of Piston for Vertical Upward Force on Piston is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Piston for Vertical Upward Force on Piston can be measured.

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Velocity of Piston for Vertical Upward Force on Piston Formula

​GoVelocity of Piston given Velocity of Flow in Oil Tank Formula

​GoVelocity of Pistons for Pressure Drop over Length of Piston Formula

Velocity of Piston for Vertical Upward Force on Piston Example

Velocity of Piston for Vertical Upward Force on Piston Solution

Velocity of Piston for Vertical Upward Force on Piston Formula Elements

Other Formulas to find Velocity of Piston

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

FAQs on Velocity of Piston for Vertical Upward Force on Piston

Variable Name

GoVelocity of Piston given Velocity of Flow in Oil Tank Formula

GoVelocity of Pistons for Pressure Drop over Length of Piston Formula