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*MT/(pi*Pp*((do^3)-(di clutch^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 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.
Pressure between Clutch Plates - (Measured in Pascal) - Pressure between Clutch Plates is the force exerted per unit area between the clutch plates in a constant pressure theory, affecting the clutch's performance and efficiency.
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.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238.5 Newton Meter --> 238.5 Newton Meter No Conversion Required
Pressure between Clutch Plates: 0.650716 Newton per Square Millimeter --> 650716 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*MT/(pi*Pp*((do^3)-(di clutch^3))) --> 12*238.5/(pi*650716*((0.2^3)-(0.1^3)))
Evaluating ... ...
μ = 0.200000108508607
STEP 3: Convert Result to Output's Unit
0.200000108508607 --> No Conversion Required
FINAL ANSWER
0.200000108508607 0.2 <-- Coefficient of Friction Clutch
(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani
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 for Clutch from Constant Pressure Theory given Diameters Formula

​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)))
μ = 12*MT/(pi*Pp*((do^3)-(di clutch^3)))

What is Coefficient of Friction?

The coefficient of friction is a value that represents the frictional resistance between two surfaces in contact. It indicates how easily one surface slides over another. A higher coefficient means more friction, while a lower one means less friction. This value is crucial in determining how much force is needed for movement or stopping. It varies based on the materials and conditions of the surfaces involved.

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 formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutches, where the pressure distribution is assumed to be constant. 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 (MT), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) 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*650716*((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 formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutches, where the pressure distribution is assumed to be constant and is represented as μ = 12*MT/(pi*Pp*((do^3)-(di clutch^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))). 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, Pressure between Clutch Plates is the force exerted per unit area between the clutch plates in a constant pressure theory, affecting the clutch's performance and efficiency, 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.
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 formula is defined as a dimensionless value that characterizes the frictional properties between two surfaces in contact, specifically in the context of clutches, where the pressure distribution is assumed to be constant 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 (MT), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch). 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)))
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