Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters Calculator

↳

⤿

Design of Friction Clutches

Design of Brakes

Design of Chain Drives

⤿

Constant Pressure Theory

Basics of Friction Clutches

Constant Wear Theory

Design of Centrifugal Clutches

✖The Friction Torque on Clutch is the torque that is acting on the friction clutch.ⓘ Friction Torque on Clutch [M_T]			+10% -10%
✖Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed.ⓘ Pressure between Clutch Plates [P_p]			+10% -10%
✖Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.ⓘ Outer Diameter of Clutch [d_o]			+10% -10%
✖Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.ⓘ Inner Diameter of Clutch [d_i]			+10% -10%

✖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.ⓘ Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters [μ]

⎘ Copy

👎

Formula

✖

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters

Formula

`"μ" = 12*"M"_{"T"}/(pi*"P"_{"p"}*(("d"_{"o"}^3)-("d"_{"i"}^3)))`

Example

`"0.194244"=12*"238500N*mm"/(pi*"0.67N/mm²"*((("200mm")^3)-(("100mm")^3)))`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
μ = 12*M_T/(pi*P_p*((d_o^3)-(d_i^3)))
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.
Pressure between Clutch Plates - (Measured in Pascal) - Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Friction Torque on Clutch: 238500 Newton Millimeter --> 238.5 Newton Meter (Check conversion here)
Pressure between Clutch Plates: 0.67 Newton per Square Millimeter --> 670000 Pascal (Check conversion here)
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion here)
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 12*M_T/(pi*P_p*((d_o^3)-(d_i^3))) --> 12*238.5/(pi*670000*((0.2^3)-(0.1^3)))

Evaluating ... ...

μ = 0.194243687475055

STEP 3: Convert Result to Output's Unit

0.194243687475055 --> No Conversion Required

FINAL ANSWER

0.194243687475055 ≈ 0.194244 <-- Coefficient of Friction Clutch

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Friction Clutches » Constant Pressure Theory » Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters

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!

< 12 Constant Pressure Theory Calculators

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*(sin(Semi-Cone Angle of Clutch))*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Friction Torque on Multiple Disk Clutch from Constant Pressure Theory

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*Pairs of Contacting Surface of Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Friction Torque on Cone Clutch from Constant Pressure Theory

Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Constant Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(12*(sin(Semi-Cone Angle of Clutch)))

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter

Go Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))

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)))

Friction Torque on Clutch from Constant Pressure Theory given Axial Force

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Collar Friction Torque in Accordance of Uniform Pressure Theory

Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^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)))

Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque

Go Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))

Friction Torque on Clutch from Constant Pressure Theory given Pressure

Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12

Pressure on Clutch Plate from Constant Pressure Theory given Axial Force

Go Pressure between Clutch Plates = 4*Axial Force for Clutch/(pi*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter

Go Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters Formula

Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
μ = 12*M_T/(pi*P_p*((d_o^3)-(d_i^3)))

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 for Clutch from Constant Pressure Theory given Diameters?

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters calculator uses Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))) to calculate the Coefficient of Friction Clutch, Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters 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 for Clutch from Constant Pressure Theory given Diameters using this online calculator? To use this online calculator for Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters, enter Friction Torque on Clutch (M_T), Pressure between Clutch Plates (P_p), Outer Diameter of Clutch (d_o) & Inner Diameter of Clutch (d_i) and hit the calculate button. Here is how the Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters calculation can be explained with given input values -> 0.194244 = 12*238.5/(pi*670000*((0.2^3)-(0.1^3))).

FAQ

What is Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters?

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters 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 = 12*M_T/(pi*P_p*((d_o^3)-(d_i^3))) or Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). The Friction Torque on Clutch is the torque that is acting on the friction clutch, Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed, Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch & Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.

How to calculate Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters?

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters 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 = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). To calculate Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters, you need Friction Torque on Clutch (M_T), Pressure between Clutch Plates (P_p), Outer Diameter of Clutch (d_o) & Inner Diameter of Clutch (d_i). With our tool, you need to enter the respective value for Friction Torque on Clutch, Pressure between Clutch Plates, Outer Diameter of Clutch & Inner 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, Pressure between Clutch Plates, Outer Diameter of Clutch & Inner Diameter of Clutch. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

Home

FREE PDFs

🔍 Search