Vertical Upward Force on Piston given Piston Velocity Calculator

✖Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length.ⓘ Piston Length [L_P]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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%

✖Vertical component of force is the resolved force acting along the vertical direction.ⓘ Vertical Upward Force on Piston given Piston Velocity [F_v]

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Vertical Upward Force on Piston given Piston Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2))
F_v = L_P*pi*μ*v_piston*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Vertical Component of Force - (Measured in Newton) - Vertical component of force is the resolved force acting along the vertical direction.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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

Piston Length: 5 Meter --> 5 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (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

F_v = L_P*pi*μ*v_piston*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2)) --> 5*pi*1.02*0.045*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))

Evaluating ... ...

F_v = 319.849038720481

STEP 3: Convert Result to Output's Unit

319.849038720481 Newton --> No Conversion Required

FINAL ANSWER

319.849038720481 ≈ 319.849 Newton <-- Vertical Component of Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Dash Pot Mechanism » Vertical Upward Force on Piston given Piston Velocity

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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< Dash Pot Mechanism Calculators

Pressure Gradient given Velocity of Flow in Oil Tank

LaTeX Go Pressure Gradient = (Dynamic Viscosity*2*(Fluid Velocity in Oil Tank-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)))/(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)

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LaTeX Go Fluid Velocity in Oil Tank = (Pressure Gradient*0.5*(Horizontal Distance*Horizontal Distance-Hydraulic Clearance*Horizontal Distance)/Dynamic Viscosity)-(Velocity of Piston*Horizontal Distance/Hydraulic Clearance)

Pressure Gradient given Rate of Flow

LaTeX Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)

Pressure Drop over Piston

LaTeX Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)

Vertical Upward Force on Piston given Piston Velocity Formula

LaTeX Go

What is Force?

Force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.

How to Calculate Vertical Upward Force on Piston given Piston Velocity?

Vertical Upward Force on Piston given Piston Velocity calculator uses Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)) to calculate the Vertical Component of Force, The Vertical Upward Force on Piston given Piston Velocity is defined as force exerted on the piston due to resistance loss. Vertical Component of Force is denoted by F_v symbol.

How to calculate Vertical Upward Force on Piston given Piston Velocity using this online calculator? To use this online calculator for Vertical Upward Force on Piston given Piston Velocity, enter Piston Length (L_P), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R) and hit the calculate button. Here is how the Vertical Upward Force on Piston given Piston Velocity calculation can be explained with given input values -> 319.849 = 5*pi*1.02*0.045*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2)).

FAQ

What is Vertical Upward Force on Piston given Piston Velocity?

The Vertical Upward Force on Piston given Piston Velocity is defined as force exerted on the piston due to resistance loss and is represented as F_v = L_P*pi*μ*v_piston*(0.75*((D/C_R)^3)+1.5*((D/C_R)^2)) or Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)). Piston Length is how far the piston travels in the cylinder, which is determined by the cranks on the crankshaft. length, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 Vertical Upward Force on Piston given Piston Velocity?

The Vertical Upward Force on Piston given Piston Velocity is defined as force exerted on the piston due to resistance loss is calculated using Vertical Component of Force = Piston Length*pi*Dynamic Viscosity*Velocity of Piston*(0.75*((Diameter of Piston/Radial Clearance)^3)+1.5*((Diameter of Piston/Radial Clearance)^2)). To calculate Vertical Upward Force on Piston given Piston Velocity, you need Piston Length (L_P), Dynamic Viscosity (μ), Velocity of Piston (v_piston), Diameter of Piston (D) & Radial Clearance (C_R). With our tool, you need to enter the respective value for Piston Length, 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.

How many ways are there to calculate Vertical Component of Force?

In this formula, Vertical Component of Force uses Piston Length, Dynamic Viscosity, Velocity of Piston, Diameter of Piston & Radial Clearance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Vertical Component of Force = Shear Force-Total Force in Piston

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