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))
Fv = LP*pi*μviscosity*vpiston*(0.75*((D/CR)^3)+1.5*((D/CR)^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 of a fluid is the measure of its resistance to flow when an external 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
Fv = LP*pi*μviscosity*vpiston*(0.75*((D/CR)^3)+1.5*((D/CR)^2)) --> 5*pi*1.02*0.045*(0.75*((3.5/0.45)^3)+1.5*((3.5/0.45)^2))
Evaluating ... ...
Fv = 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)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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12 Dash-Pot Mechanism Calculators

Velocity of Flow in Oil Tank
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 Velocity of Flow in Oil Tank
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)
Length of Piston for Vertical Upward Force on Piston
Go 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)))
Vertical Upward Force on Piston given Piston Velocity
Go 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))
Length of Piston for Shear Force Resisting Motion of Piston
Go Piston Length = Shear Force/(pi*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance)))
Shear Force Resisting Motion of Piston
Go Shear Force = pi*Piston Length*Dynamic Viscosity*Velocity of Piston*(1.5*(Diameter of Piston/Radial Clearance)^2+4*(Diameter of Piston/Radial Clearance))
Pressure Gradient given Rate of Flow
Go Pressure Gradient = (12*Dynamic Viscosity/(Radial Clearance^3))*((Discharge in Laminar Flow/pi*Diameter of Piston)+Velocity of Piston*0.5*Radial Clearance)
Length of Piston for Pressure Drop over Piston
Go Piston Length = Pressure Drop due to Friction/((6*Dynamic Viscosity*Velocity of Piston/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance))
Pressure Drop over Piston
Go Pressure Drop due to Friction = (6*Dynamic Viscosity*Velocity of Piston*Piston Length/(Radial Clearance^3))*(0.5*Diameter of Piston+Radial Clearance)
Pressure Drop over Length of Piston given Vertical Upward Force on Piston
Go Pressure Drop due to Friction = Vertical Component of Force/(0.25*pi*Diameter of Piston*Diameter of Piston)
Vertical Force given Total Force
Go Vertical Component of Force = Shear Force-Total Force in Piston
Total Forces
Go Total Force = Vertical Component of Force+Shear Force

Vertical Upward Force on Piston given Piston Velocity Formula

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))
Fv = LP*pi*μviscosity*vpiston*(0.75*((D/CR)^3)+1.5*((D/CR)^2))

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 Fv 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 (LP), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Diameter of Piston (D) & Radial Clearance (CR) 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 Fv = LP*pi*μviscosity*vpiston*(0.75*((D/CR)^3)+1.5*((D/CR)^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 of a fluid is the measure of its resistance to flow when an external 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 (LP), Dynamic Viscosity viscosity), Velocity of Piston (vpiston), Diameter of Piston (D) & Radial Clearance (CR). 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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