Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))
μcollar = (3*Tc*((Do^2)-(Di^2)))/(W*((Do^3)-(Di^3)))
This formula uses 5 Variables
Variables Used
Coefficient of Friction for Collar - The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Collar Friction Torque for Power Screw - (Measured in Newton Meter) - Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw.
Outer Diameter of Collar - (Measured in Meter) - The Outer Diameter of Collar is the actual outer diameter of the collar.
Inner Diameter of Collar - (Measured in Meter) - The Inner Diameter of Collar is the actual inner diameter of the collar.
Load on screw - (Measured in Newton) - Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
STEP 1: Convert Input(s) to Base Unit
Collar Friction Torque for Power Screw: 10000 Newton Millimeter --> 10 Newton Meter (Check conversion here)
Outer Diameter of Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Inner Diameter of Collar: 60 Millimeter --> 0.06 Meter (Check conversion here)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μcollar = (3*Tc*((Do^2)-(Di^2)))/(W*((Do^3)-(Di^3))) --> (3*10*((0.1^2)-(0.06^2)))/(1700*((0.1^3)-(0.06^3)))
Evaluating ... ...
μcollar = 0.14405762304922
STEP 3: Convert Result to Output's Unit
0.14405762304922 --> No Conversion Required
FINAL ANSWER
0.14405762304922 0.144058 <-- Coefficient of Friction for Collar
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Osmania University (OU), Hyderabad
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6 Collar Friction Calculators

Collar Friction Torque for Screw according to Uniform Pressure Theory
Go Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2)))
Load on Screw given Collar Friction Torque according to Uniform Pressure Theory
Go Load on screw = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Coefficient of Friction for Collar*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))
Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory
Go Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))
Collar Friction Torque for Screw according to Uniform Wear Theory
Go Collar Friction Torque for Power Screw = Coefficient of Friction for Collar*Load on screw*(Outer Radius of Power Screw Collar+Inner Radius of Power Screw Collar)/2
Load on Screw given Collar Friction Torque according to Uniform Wear Theory
Go Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar)))
Coefficient of Friction at Collar of Screw according to Uniform Wear Theory
Go Coefficient of Friction for Collar = (4*Collar Friction Torque for Power Screw)/(Load on screw*((Outer Diameter of Collar)+(Inner Diameter of Collar)))

Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory Formula

Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))
μcollar = (3*Tc*((Do^2)-(Di^2)))/(W*((Do^3)-(Di^3)))

what is cofficient of friction?

The coefficient of friction, µ, is a measure of the amount of friction existing between two surfaces. A low value of coefficient of friction indicates that the force required for sliding to occur is less than the force required when the coefficient of friction is high.

How to Calculate Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory?

Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory calculator uses Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3))) to calculate the Coefficient of Friction for Collar, Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. Coefficient of Friction for Collar is denoted by μcollar symbol.

How to calculate Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory using this online calculator? To use this online calculator for Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory, enter Collar Friction Torque for Power Screw (Tc), Outer Diameter of Collar (Do), Inner Diameter of Collar (Di) & Load on screw (W) and hit the calculate button. Here is how the Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory calculation can be explained with given input values -> 0.144058 = (3*10*((0.1^2)-(0.06^2)))/(1700*((0.1^3)-(0.06^3))).

FAQ

What is Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory?
Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory is the ratio defining the force that resists the motion of one body in relation to another body in contact with it and is represented as μcollar = (3*Tc*((Do^2)-(Di^2)))/(W*((Do^3)-(Di^3))) or Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3))). Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw, The Outer Diameter of Collar is the actual outer diameter of the collar, The Inner Diameter of Collar is the actual inner diameter of the collar & Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
How to calculate Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory?
Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory is the ratio defining the force that resists the motion of one body in relation to another body in contact with it is calculated using Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3))). To calculate Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory, you need Collar Friction Torque for Power Screw (Tc), Outer Diameter of Collar (Do), Inner Diameter of Collar (Di) & Load on screw (W). With our tool, you need to enter the respective value for Collar Friction Torque for Power Screw, Outer Diameter of Collar, Inner Diameter of Collar & Load on screw 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 Coefficient of Friction for Collar?
In this formula, Coefficient of Friction for Collar uses Collar Friction Torque for Power Screw, Outer Diameter of Collar, Inner Diameter of Collar & Load on screw. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Friction for Collar = (4*Collar Friction Torque for Power Screw)/(Load on screw*((Outer Diameter of Collar)+(Inner Diameter of Collar)))
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