Rotational Speed for Torque Required in Foot-Step 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*(Shaft Diameter/2)^4)
N = (τ*t)/(μ*pi^2*(Ds/2)^4)
This formula uses 1 Constants, 5 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.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
STEP 1: Convert Input(s) to Base Unit
Torque Exerted on Wheel: 49.99999 Newton Meter --> 49.99999 Newton Meter 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (τ*t)/(μ*pi^2*(Ds/2)^4) --> (49.99999*4.623171)/(8.23*pi^2*(14.90078/2)^4)
Evaluating ... ...
N = 0.000923621993723411
STEP 3: Convert Result to Output's Unit
0.000923621993723411 Hertz -->0.0554173196234046 Revolution per Minute (Check conversion ​here)
FINAL ANSWER
0.0554173196234046 0.055417 Revolution per Minute <-- Mean Speed in RPM
(Calculation completed in 00.004 seconds)

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Rotational Speed for Torque Required in Foot-Step Bearing Formula

​LaTeX ​Go
Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)
N = (τ*t)/(μ*pi^2*(Ds/2)^4)

What is viscous resistance in foot-step bearing?

When we need to rotate a vertical shaft inside a fixed bearing, the viscous oil will be placed between the top of the bearing and the bottom surface of the shaft. In order to reduce the wear and tear, oil film will be provided between the top of the bearing and bottom surface of the shaft.

What is foot step bearing?

A bearing designed to support a vertical shaft or spindle, typically taking the form of a block having a cavity that accommodates the lower part of a shaft.

How to Calculate Rotational Speed for Torque Required in Foot-Step Bearing?

Rotational Speed for Torque Required in Foot-Step Bearing calculator uses Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4) to calculate the Mean Speed in RPM, The Rotational speed for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, torque required to overcome viscous resisitance, thickness, and the radius of the shaft. Mean Speed in RPM is denoted by N symbol.

How to calculate Rotational Speed for Torque Required in Foot-Step Bearing using this online calculator? To use this online calculator for Rotational Speed for Torque Required in Foot-Step Bearing, enter Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Shaft Diameter (Ds) and hit the calculate button. Here is how the Rotational Speed for Torque Required in Foot-Step Bearing calculation can be explained with given input values -> 3.32504 = (49.99999*4.623171)/(8.23*pi^2*(14.90078/2)^4).

FAQ

What is Rotational Speed for Torque Required in Foot-Step Bearing?
The Rotational speed for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, torque required to overcome viscous resisitance, thickness, and the radius of the shaft and is represented as N = (τ*t)/(μ*pi^2*(Ds/2)^4) or Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^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 & Shaft Diameter is the diameter of the shaft of the pile.
How to calculate Rotational Speed for Torque Required in Foot-Step Bearing?
The Rotational speed for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, torque required to overcome viscous resisitance, thickness, and the radius of the shaft is calculated using Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4). To calculate Rotational Speed for Torque Required in Foot-Step Bearing, you need Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Shaft Diameter (Ds). With our tool, you need to enter the respective value for Torque Exerted on Wheel, Thickness of Oil Film, Viscosity of Fluid & Shaft Diameter 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 & Shaft Diameter. We can use 3 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*(Outer Radius of Collar^4-Inner Radius of Collar^4))
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