Rotational Speed for Torque Required in Collar Bearing Calculator

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Viscous Flow

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✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Exerted on Wheel [τ]			+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%
✖The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.ⓘ Outer Radius of Collar [R₁]			+10% -10%
✖The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.ⓘ Inner Radius of Collar [R₂]			+10% -10%

✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Rotational Speed for Torque Required in Collar Bearing [N]

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Formula

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Rotational Speed for Torque Required in Collar Bearing

Formula

`"N" = ("τ"*"t")/("μ"*pi^2*("R"_{"1"}^4-"R"_{"2"}^4))`

Example

`"5.445904rev/min"=("50N*m"*"1.2m")/("8.23N*s/m²"*pi^2*(("1.7m")^4-("0.68m")^4))`

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Rotational Speed for Torque Required in Collar Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4))
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.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
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.
Outer Radius of Collar - (Measured in Meter) - The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.
Inner Radius of Collar - (Measured in Meter) - The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.

STEP 1: Convert Input(s) to Base Unit

Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter 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)
Outer Radius of Collar: 1.7 Meter --> 1.7 Meter No Conversion Required
Inner Radius of Collar: 0.68 Meter --> 0.68 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4)) --> (50*1.2)/(8.23*pi^2*(1.7^4-0.68^4))

Evaluating ... ...

N = 0.0907650620698378

STEP 3: Convert Result to Output's Unit

0.0907650620698378 Hertz -->5.44590372419027 Revolution per Minute (Check conversion here)

FINAL ANSWER

5.44590372419027 ≈ 5.445904 Revolution per Minute <-- Mean Speed in RPM

(Calculation completed in 00.020 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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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

Rotational Speed for Torque Required in Collar Bearing Formula

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))
N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4))

What is viscous resistance of collar bearing?

A collar bearing is provided at any position along the shaft and bears the axial load on a mating surface. The surface of the collar may be plane normal to the shaft or of conical shape. The face of the collar will be separated from the bearing surface by an oil film of uniform thickness.

What is a collar bearing?

A Collar Bearing is a type of Thrust Bearing. In thrust bearings, the load acts along the axis of the shaft as in Turbine shafts. The collar bearings usually have single or multiple numbers of collars depending upon the application.

How to Calculate Rotational Speed for Torque Required in Collar Bearing?

Rotational Speed for Torque Required in Collar Bearing calculator uses 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)) to calculate the Mean Speed in RPM, The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance. Mean Speed in RPM is denoted by N symbol.

How to calculate Rotational Speed for Torque Required in Collar Bearing using this online calculator? To use this online calculator for Rotational Speed for Torque Required in Collar Bearing, enter Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂) and hit the calculate button. Here is how the Rotational Speed for Torque Required in Collar Bearing calculation can be explained with given input values -> 101163.9 = (50*1.2)/(8.23*pi^2*(1.7^4-0.68^4)).

FAQ

What is Rotational Speed for Torque Required in Collar Bearing?

The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance and is represented as N = (τ*t)/(μ*pi^2*(R₁^4-R₂^4)) or 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 Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, 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, The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar & The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.

How to calculate Rotational Speed for Torque Required in Collar Bearing?

The Rotational speed for torque required in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, and the torque required to overcome viscous resistance is calculated using 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)). To calculate Rotational Speed for Torque Required in Collar Bearing, you need Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ), Outer Radius of Collar (R₁) & Inner Radius of Collar (R₂). With our tool, you need to enter the respective value for Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid, Outer Radius of Collar & Inner Radius of Collar 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 Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid, Outer Radius of Collar & Inner Radius of Collar. We can use 4 other way(s) to calculate the same, which is/are as follows -

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