Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
μ = MT*(3*((do^2)-(di clutch^2)))/(Pa*((do^3)-(di clutch^3)))
This formula uses 5 Variables
Variables Used
Coefficient of Friction Clutch - Coefficient of Friction Clutch is the ratio of the frictional force to the normal force between the clutch and the flywheel in constant pressure theory.
Friction Torque on Clutch - (Measured in Newton Meter) - Friction Torque on Clutch is the torque generated due to frictional forces between the clutch plate and the flywheel in a constant pressure clutch system.
Outer Diameter of Clutch - (Measured in Meter) - Outer Diameter of Clutch is the diameter of the clutch outer surface, which is a critical parameter in the constant pressure theory of clutch design.
Inner Diameter of Clutch - (Measured in Meter) - Inner Diameter of Clutch is the diameter of the inner circle of the clutch plate in a constant pressure theory, which affects the clutch's performance and efficiency.
Axial Force for Clutch - (Measured in Newton) - Axial Force for Clutch is the force exerted on the clutch plate to engage or disengage the engine from the transmission in a constant pressure system.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238.5 Newton Meter --> 238.5 Newton Meter No Conversion Required
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion ​here)
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion ​here)
Axial Force for Clutch: 15332.14 Newton --> 15332.14 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = MT*(3*((do^2)-(di clutch^2)))/(Pa*((do^3)-(di clutch^3))) --> 238.5*(3*((0.2^2)-(0.1^2)))/(15332.14*((0.2^3)-(0.1^3)))
Evaluating ... ...
μ = 0.200000037269981
STEP 3: Convert Result to Output's Unit
0.200000037269981 --> No Conversion Required
FINAL ANSWER
0.200000037269981 0.2 <-- Coefficient of Friction Clutch
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Constant Pressure Theory Calculators

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter
​ LaTeX ​ 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 for Clutch from Constant Pressure Theory given Diameters
​ LaTeX ​ 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 Axial Force
​ LaTeX ​ 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
​ LaTeX ​ Go Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4

Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque Formula

​LaTeX ​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)))
μ = MT*(3*((do^2)-(di clutch^2)))/(Pa*((do^3)-(di clutch^3)))

What is Friction Torque?

Friction torque is the resistance to rotation caused by the frictional force between two surfaces in contact. It occurs when one surface tries to move relative to the other, and the friction opposes this movement. The amount of friction torque depends on the frictional force and the distance from the center of rotation. It is crucial in devices like clutches and brakes, where controlling rotational motion is essential.

How to Calculate Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque?

Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque calculator uses 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))) to calculate the Coefficient of Friction Clutch, Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutch design, where it plays a crucial role in determining the torque transmission and overall performance of the system. Coefficient of Friction Clutch is denoted by μ symbol.

How to calculate Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque using this online calculator? To use this online calculator for Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque, enter Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di clutch) & Axial Force for Clutch (Pa) and hit the calculate button. Here is how the Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque calculation can be explained with given input values -> 0.194244 = 238.5*(3*((0.2^2)-(0.1^2)))/(15332.14*((0.2^3)-(0.1^3))).

FAQ

What is Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque?
Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutch design, where it plays a crucial role in determining the torque transmission and overall performance of the system and is represented as μ = MT*(3*((do^2)-(di clutch^2)))/(Pa*((do^3)-(di clutch^3))) or 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 is the torque generated due to frictional forces between the clutch plate and the flywheel in a constant pressure clutch system, Outer Diameter of Clutch is the diameter of the clutch outer surface, which is a critical parameter in the constant pressure theory of clutch design, Inner Diameter of Clutch is the diameter of the inner circle of the clutch plate in a constant pressure theory, which affects the clutch's performance and efficiency & Axial Force for Clutch is the force exerted on the clutch plate to engage or disengage the engine from the transmission in a constant pressure system.
How to calculate Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque?
Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutch design, where it plays a crucial role in determining the torque transmission and overall performance of the system is calculated using 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))). To calculate Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque, you need Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di clutch) & Axial Force for Clutch (Pa). With our tool, you need to enter the respective value for Friction Torque on Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Axial Force for 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, Outer Diameter of Clutch, Inner Diameter of Clutch & Axial Force for Clutch. We can use 1 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)))
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