Speed of Rotation for Shear Force in Journal Bearing Calculator

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✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]			+10% -10%
✖Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.ⓘ Thickness of Oil Film [t]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Shaft Diameter is the diameter of the shaft of the pile.ⓘ Shaft Diameter [D_shaft]			+10% -10%
✖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.ⓘ Length of Pipe [L]			+10% -10%

✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Speed of Rotation for Shear Force in Journal Bearing [N]

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Speed of Rotation for Shear Force in Journal Bearing

Formula

`"N" = ("F"_{"s"}*"t")/("μ"*pi^2*"D"_{"shaft"}^2*"L")`

Example

`"1.401635rev/min"=("68.5N"*"1.2m")/("8.23N*s/m²"*pi^2*("3.8m")^2*"3m")`

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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 = (F_s*t)/(μ*pi^2*D_shaft^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: 1.2 Meter --> 1.2 Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Shaft Diameter: 3.8 Meter --> 3.8 Meter No Conversion Required
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (F_s*t)/(μ*pi^2*D_shaft^2*L) --> (68.5*1.2)/(8.23*pi^2*3.8^2*3)

Evaluating ... ...

N = 0.0233605890196334

STEP 3: Convert Result to Output's Unit

0.0233605890196334 Hertz -->1.401635341178 Revolution per Minute (Check conversion here)

FINAL ANSWER

1.401635341178 ≈ 1.401635 Revolution per Minute <-- Mean Speed in RPM

(Calculation completed in 00.010 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Fluid Flow and Resistance » Speed of Rotation for Shear Force in Journal Bearing

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)

Angular Speed of Outer Cylinder in Rotating Cylinder Method

Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

Discharge in Capillary Tube Method

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)

Rotational Speed for Torque Required in Collar Bearing

Go 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))

Torque Required to Overcome Viscous Resistance in Collar Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

Velocity of Piston or Body for Movement of Piston in Dash-Pot

Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)

Shear Force or Viscous Resistance in Journal Bearing

Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)

Speed of Rotation for Shear Force in Journal Bearing

Go Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)

Shear Stress in Fluid or Oil of Journal Bearing

Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)

Rotational Speed for Torque Required in Foot-Step Bearing

Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)

Torque Required to Overcome Viscous Resistance in Foot-Step Bearing

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film

Velocity of Sphere in Falling Sphere Resistance Method

Go Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)

Drag Force in Falling Sphere Resistance Method

Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere

Density of Fluid in Falling Sphere Resistance Method

Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])

Buoyant Force in Falling Sphere Resistance Method

Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3

Velocity at Any Radius given Radius of Pipe, and Maximum Velocity

Go Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Maximum Velocity at any Radius using Velocity

Go Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)

Rotational Speed considering Power Absorbed and Torque in Journal Bearing

Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)

Torque Required Considering Power Absorbed in Journal Bearing

Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)

Shear Force for Torque and Diameter of Shaft in Journal Bearing

Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)

Torque Required to Overcome Shear Force in Journal Bearing

Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Speed of Rotation for Shear Force in Journal Bearing Formula

Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
N = (F_s*t)/(μ*pi^2*D_shaft^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, The Speed of rotation for shear force in journal bearing formula is known while considering the shear stress of oil and the area of surface of the shaft. 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 (F_s), Thickness of Oil Film (t), Viscosity of Fluid (μ), Shaft Diameter (D_shaft) & 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 -> 59.54392 = (68.5*1.2)/(8.23*pi^2*3.8^2*3).

FAQ

What is Speed of Rotation for Shear Force in Journal Bearing?

The Speed of rotation for shear force in journal bearing formula is known while considering the shear stress of oil and the area of surface of the shaft and is represented as N = (F_s*t)/(μ*pi^2*D_shaft^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?

The Speed of rotation for shear force in journal bearing formula is known while considering the shear stress of oil and the area of surface of the shaft 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 (F_s), Thickness of Oil Film (t), Viscosity of Fluid (μ), Shaft Diameter (D_shaft) & 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 4 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))
Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

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