Speed of Rotation for Shear Force in Journal Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
N = (Fs*t)/(μ*pi^2*Ds^2*L)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Thickness of Oil Film - (Measured in Meter) - Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
Length of Pipe - (Measured in Meter) - Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
STEP 1: Convert Input(s) to Base Unit
Shear Force: 68.5 Newton --> 68.5 Newton No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion ​here)
Shaft Diameter: 14.90078 Meter --> 14.90078 Meter No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (Fs*t)/(μ*pi^2*Ds^2*L) --> (68.5*4.623171)/(8.23*pi^2*14.90078^2*3)
Evaluating ... ...
N = 0.00585317741312675
STEP 3: Convert Result to Output's Unit
0.00585317741312675 Hertz -->0.351190644787605 Revolution per Minute (Check conversion ​here)
FINAL ANSWER
0.351190644787605 0.351191 Revolution per Minute <-- Mean Speed in RPM
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verifier Image
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

Fluid Flow and Resistance Calculators

Discharge in Capillary Tube Method
​ LaTeX ​ Go Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe)
Shear Force or Viscous Resistance in Journal Bearing
​ LaTeX ​ Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)
Shear Stress in Fluid or Oil of Journal Bearing
​ LaTeX ​ Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
Drag Force in Falling Sphere Resistance Method
​ LaTeX ​ Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Speed of Rotation for Shear Force in Journal Bearing Formula

​LaTeX ​Go
Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
N = (Fs*t)/(μ*pi^2*Ds^2*L)

What is viscous resistance of journal bearing?

Let us consider that a shaft is rotating in a journal bearing and think that oil is used as a lubricant in order to fill the clearance between the shaft and journal bearing. Therefore oil will offer viscous resistance to the rotating shaft.

What is shear force in the oil?

Shear forces acting tangentially to a surface of a solid body cause deformation. When the fluid is in motion, shear stresses are developed due to the particles in the fluid moving relative to one another.

How to Calculate Speed of Rotation for Shear Force in Journal Bearing?

Speed of Rotation for Shear Force in Journal Bearing calculator uses Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe) to calculate the Mean Speed in RPM, Speed of Rotation for Shear Force in Journal Bearing is influenced by the shear force experienced in the bearing. Higher shear forces typically require adjustments in speed to maintain optimal bearing performance and prevent excessive wear. Mean Speed in RPM is denoted by N symbol.

How to calculate Speed of Rotation for Shear Force in Journal Bearing using this online calculator? To use this online calculator for Speed of Rotation for Shear Force in Journal Bearing, enter Shear Force (Fs), Thickness of Oil Film (t), Viscosity of Fluid (μ), Shaft Diameter (Ds) & Length of Pipe (L) and hit the calculate button. Here is how the Speed of Rotation for Shear Force in Journal Bearing calculation can be explained with given input values -> 21.07144 = (68.5*4.623171)/(8.23*pi^2*14.90078^2*3).

FAQ

What is Speed of Rotation for Shear Force in Journal Bearing?
Speed of Rotation for Shear Force in Journal Bearing is influenced by the shear force experienced in the bearing. Higher shear forces typically require adjustments in speed to maintain optimal bearing performance and prevent excessive wear and is represented as N = (Fs*t)/(μ*pi^2*Ds^2*L) or Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe). Shear Force is the force which causes shear deformation to occur in the shear plane, Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil, The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Shaft Diameter is the diameter of the shaft of the pile & Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
How to calculate Speed of Rotation for Shear Force in Journal Bearing?
Speed of Rotation for Shear Force in Journal Bearing is influenced by the shear force experienced in the bearing. Higher shear forces typically require adjustments in speed to maintain optimal bearing performance and prevent excessive wear is calculated using Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe). To calculate Speed of Rotation for Shear Force in Journal Bearing, you need Shear Force (Fs), Thickness of Oil Film (t), Viscosity of Fluid (μ), Shaft Diameter (Ds) & Length of Pipe (L). With our tool, you need to enter the respective value for Shear Force, Thickness of Oil Film, Viscosity of Fluid, Shaft Diameter & Length of Pipe 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 Mean Speed in RPM?
In this formula, Mean Speed in RPM uses Shear Force, Thickness of Oil Film, Viscosity of Fluid, Shaft Diameter & Length of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
  • Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)
  • Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!