Coefficient of Friction of Clutch from Constant Wear Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
μ = 8*MT/(pi*pa*di*((do^2)-(di^2)))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Coefficient of Friction Clutch - Coefficient of Friction Clutch (μ) is the ratio defining the force that resists the motion of clutch in relation to another body in contact with it.
Friction Torque on Clutch - (Measured in Newton Meter) - The Friction Torque on Clutch is the torque that is acting on the friction clutch.
Permissible Intensity of Pressure in Clutch - (Measured in Pascal) - The Permissible Intensity of Pressure in Clutch is the allowable value of pressure acting in the friction clutch.
Inner Diameter of Clutch - (Measured in Meter) - Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.
Outer Diameter of Clutch - (Measured in Meter) - Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238500 Newton Millimeter --> 238.5 Newton Meter (Check conversion here)
Permissible Intensity of Pressure in Clutch: 1.01 Newton per Square Millimeter --> 1010000 Pascal (Check conversion here)
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion here)
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = 8*MT/(pi*pa*di*((do^2)-(di^2))) --> 8*238.5/(pi*1010000*0.1*((0.2^2)-(0.1^2)))
Evaluating ... ...
μ = 0.200440680804842
STEP 3: Convert Result to Output's Unit
0.200440680804842 --> No Conversion Required
FINAL ANSWER
0.200440680804842 0.200441 <-- Coefficient of Friction Clutch
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

5 Coefficient of Friction Calculators

Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque
Go Coefficient of Friction Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Coefficient of Friction of Clutch from Constant Wear Theory
Go Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters
Go Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Coefficient of Friction of Clutch from Constant Wear Theory given Axial Force
Go Coefficient of Friction Clutch = 4*Friction Torque on Clutch/(Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))
Coefficient of Friction of Clutch given Friction Radius
Go Coefficient of Friction Clutch = Friction Torque on Clutch/(Axial Force for Clutch*Friction Radius of Clutch)

Coefficient of Friction of Clutch from Constant Wear Theory Formula

Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
μ = 8*MT/(pi*pa*di*((do^2)-(di^2)))

What is a clutch?

The clutch is a mechanical device, which is used to connect or disconnect the source of power from the remaining parts of the power transmission system at the will of the operator.

How to Calculate Coefficient of Friction of Clutch from Constant Wear Theory?

Coefficient of Friction of Clutch from Constant Wear Theory calculator uses Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))) to calculate the Coefficient of Friction Clutch, Coefficient of Friction of Clutch from Constant Wear Theory is defined as the friction coefficient of the friction surface of the clutch plate. The coefficient of friction (COF) is a dimensionless number that is defined as the ratio between friction force and normal force. Coefficient of Friction Clutch is denoted by μ symbol.

How to calculate Coefficient of Friction of Clutch from Constant Wear Theory using this online calculator? To use this online calculator for Coefficient of Friction of Clutch from Constant Wear Theory, enter Friction Torque on Clutch (MT), Permissible Intensity of Pressure in Clutch (pa), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do) and hit the calculate button. Here is how the Coefficient of Friction of Clutch from Constant Wear Theory calculation can be explained with given input values -> 0.200441 = 8*238.5/(pi*1010000*0.1*((0.2^2)-(0.1^2))).

FAQ

What is Coefficient of Friction of Clutch from Constant Wear Theory?
Coefficient of Friction of Clutch from Constant Wear Theory is defined as the friction coefficient of the friction surface of the clutch plate. The coefficient of friction (COF) is a dimensionless number that is defined as the ratio between friction force and normal force and is represented as μ = 8*MT/(pi*pa*di*((do^2)-(di^2))) or Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))). The Friction Torque on Clutch is the torque that is acting on the friction clutch, The Permissible Intensity of Pressure in Clutch is the allowable value of pressure acting in the friction clutch, Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch & Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
How to calculate Coefficient of Friction of Clutch from Constant Wear Theory?
Coefficient of Friction of Clutch from Constant Wear Theory is defined as the friction coefficient of the friction surface of the clutch plate. The coefficient of friction (COF) is a dimensionless number that is defined as the ratio between friction force and normal force is calculated using Coefficient of Friction Clutch = 8*Friction Torque on Clutch/(pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))). To calculate Coefficient of Friction of Clutch from Constant Wear Theory, you need Friction Torque on Clutch (MT), Permissible Intensity of Pressure in Clutch (pa), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do). With our tool, you need to enter the respective value for Friction Torque on Clutch, Permissible Intensity of Pressure in Clutch, Inner Diameter of Clutch & Outer Diameter of Clutch 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 Clutch?
In this formula, Coefficient of Friction Clutch uses Friction Torque on Clutch, Permissible Intensity of Pressure in Clutch, Inner Diameter of Clutch & Outer Diameter of Clutch. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
  • Coefficient of Friction Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
  • Coefficient of Friction Clutch = 4*Friction Torque on Clutch/(Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))
  • Coefficient of Friction Clutch = Friction Torque on Clutch/(Axial Force for Clutch*Friction Radius of Clutch)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!