Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Permissible Intensity of Pressure in Clutch = 8*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
pa = 8*MT/(pi*μ*di*((do^2)-(di^2)))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Permissible Intensity of Pressure in Clutch - (Measured in Pascal) - Permissible Intensity of Pressure in Clutch is the maximum allowed pressure in a clutch, ensuring efficient power transmission without wear and tear, according to constant wear theory.
Friction Torque on Clutch - (Measured in Newton Meter) - Friction Torque on Clutch is the rotational force that opposes motion between the clutch's moving parts, affecting its performance and wear in a mechanical system.
Coefficient of Friction Clutch - Coefficient of Friction Clutch is a value that represents the frictional force between the clutch and the flywheel in a constant wear theory scenario.
Inner Diameter of Clutch - (Measured in Meter) - Inner Diameter of Clutch is the diameter of the clutch that remains constant during the wear process, affecting the clutch's performance and lifespan.
Outer Diameter of Clutch - (Measured in Meter) - Outer Diameter of Clutch is the maximum diameter of the clutch that remains constant during the wear process in the constant wear theory.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238500 Newton Millimeter --> 238.5 Newton Meter (Check conversion ​here)
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
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
pa = 8*MT/(pi*μ*di*((do^2)-(di^2))) --> 8*238.5/(pi*0.2*0.1*((0.2^2)-(0.1^2)))
Evaluating ... ...
pa = 1012225.43806445
STEP 3: Convert Result to Output's Unit
1012225.43806445 Pascal -->1.01222543806445 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
1.01222543806445 1.012225 Newton per Square Millimeter <-- Permissible Intensity of Pressure in Clutch
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Constant Wear Theory Calculators

Coefficient of Friction of Clutch from Constant Wear Theory
​ LaTeX ​ 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)))
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Axial Force
​ LaTeX ​ Go Permissible Intensity of Pressure in Clutch = 2*Axial Force for Clutch/(pi*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch))
Axial Force on Clutch from Constant Wear Theory given Permissible Intensity of Pressure
​ LaTeX ​ Go Axial Force for Clutch = pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch)/2
Axial Force on Clutch from Constant Wear Theory given Friction Torque
​ LaTeX ​ Go Axial Force for Clutch = 4*Friction Torque on Clutch/(Coefficient of Friction Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))

Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque Formula

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

What is Friction on Clutch?

Friction on a clutch is the resistance generated between the clutch plates when they come into contact during engagement. This frictional force is essential for transferring torque from the engine to the transmission, allowing the vehicle to move. The amount of friction depends on factors such as the materials of the clutch plates, the surface finish, and the applied pressure. Proper friction levels ensure smooth operation, while inadequate friction can lead to slipping or stalling. Managing friction is crucial for maintaining the clutch's efficiency and longevity.

How to Calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?

Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque calculator uses Permissible Intensity of Pressure in Clutch = 8*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))) to calculate the Permissible Intensity of Pressure in Clutch, Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque formula is defined as the maximum pressure that can be applied to a clutch without causing excessive wear, ensuring efficient power transmission and preventing damage to the clutch components. Permissible Intensity of Pressure in Clutch is denoted by pa symbol.

How to calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque using this online calculator? To use this online calculator for Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque, enter Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do) and hit the calculate button. Here is how the Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque calculation can be explained with given input values -> 1E-6 = 8*238.5/(pi*0.2*0.1*((0.2^2)-(0.1^2))).

FAQ

What is Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque formula is defined as the maximum pressure that can be applied to a clutch without causing excessive wear, ensuring efficient power transmission and preventing damage to the clutch components and is represented as pa = 8*MT/(pi*μ*di*((do^2)-(di^2))) or Permissible Intensity of Pressure in Clutch = 8*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))). Friction Torque on Clutch is the rotational force that opposes motion between the clutch's moving parts, affecting its performance and wear in a mechanical system, Coefficient of Friction Clutch is a value that represents the frictional force between the clutch and the flywheel in a constant wear theory scenario, Inner Diameter of Clutch is the diameter of the clutch that remains constant during the wear process, affecting the clutch's performance and lifespan & Outer Diameter of Clutch is the maximum diameter of the clutch that remains constant during the wear process in the constant wear theory.
How to calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque formula is defined as the maximum pressure that can be applied to a clutch without causing excessive wear, ensuring efficient power transmission and preventing damage to the clutch components is calculated using Permissible Intensity of Pressure in Clutch = 8*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))). To calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque, you need Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), 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, Coefficient of Friction 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 Permissible Intensity of Pressure in Clutch?
In this formula, Permissible Intensity of Pressure in Clutch uses Friction Torque on Clutch, Coefficient of Friction Clutch, Inner Diameter of Clutch & Outer Diameter of Clutch. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Permissible Intensity of Pressure in Clutch = 2*Axial Force for Clutch/(pi*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch))
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