Rotational Speed considering Power Absorbed and Torque in Journal Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
N = P/(2*pi*ฯ„)
This formula uses 1 Constants, 3 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.
Power Absorbed - (Measured in Watt) - Power absorbed refers to the amount of power or energy consumed or taken in by a device, system, or component.
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 ฯ„.
STEP 1: Convert Input(s) to Base Unit
Power Absorbed: 70 Watt --> 70 Watt No Conversion Required
Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = P/(2*pi*ฯ„) --> 70/(2*pi*50)
Evaluating ... ...
N = 0.222816920328653
STEP 3: Convert Result to Output's Unit
0.222816920328653 Hertz -->13.3690152197192 Revolution per Minute (Check conversion here)
FINAL ANSWER
13.3690152197192 โ‰ˆ 13.36902 Revolution per Minute <-- Mean Speed in RPM
(Calculation completed in 00.004 seconds)

Credits

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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 considering Power Absorbed and Torque in Journal Bearing Formula

Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
N = P/(2*pi*ฯ„)

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 Rotational Speed considering Power Absorbed and Torque in Journal Bearing?

Rotational Speed considering Power Absorbed and Torque in Journal Bearing calculator uses Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel) to calculate the Mean Speed in RPM, The Rotational speed considering power absorbed and torque in journal bearing formula known while considering the terms torque and power absorbed which are need to overcome the viscous resistance. Mean Speed in RPM is denoted by N symbol.

How to calculate Rotational Speed considering Power Absorbed and Torque in Journal Bearing using this online calculator? To use this online calculator for Rotational Speed considering Power Absorbed and Torque in Journal Bearing, enter Power Absorbed (P) & Torque Exerted on Wheel (ฯ„) and hit the calculate button. Here is how the Rotational Speed considering Power Absorbed and Torque in Journal Bearing calculation can be explained with given input values -> 1948.057 = 70/(2*pi*50).

FAQ

What is Rotational Speed considering Power Absorbed and Torque in Journal Bearing?
The Rotational speed considering power absorbed and torque in journal bearing formula known while considering the terms torque and power absorbed which are need to overcome the viscous resistance and is represented as N = P/(2*pi*ฯ„) or Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel). Power absorbed refers to the amount of power or energy consumed or taken in by a device, system, or component & 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 ฯ„.
How to calculate Rotational Speed considering Power Absorbed and Torque in Journal Bearing?
The Rotational speed considering power absorbed and torque in journal bearing formula known while considering the terms torque and power absorbed which are need to overcome the viscous resistance is calculated using Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel). To calculate Rotational Speed considering Power Absorbed and Torque in Journal Bearing, you need Power Absorbed (P) & Torque Exerted on Wheel (ฯ„). With our tool, you need to enter the respective value for Power Absorbed & Torque Exerted on Wheel 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 Power Absorbed & Torque Exerted on Wheel. 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 = (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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