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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
MT = μ*Pa*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2)))
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Axial Force for Clutch: 15332.14 Newton --> 15332.14 Newton 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MT = μ*Pa*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2))) --> 0.2*15332.14*((0.2^3)-(0.1^3))/(3*((0.2^2)-(0.1^2)))
Evaluating ... ...
MT = 238.499955555556
STEP 3: Convert Result to Output's Unit
238.499955555556 Newton Meter --> No Conversion Required
FINAL ANSWER
238.499955555556 238.5 Newton Meter <-- Friction Torque on 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 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

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

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

What Torque on Clutch?


Torque on a clutch refers to the twisting force transmitted from the engine to the drivetrain through the clutch mechanism. It is generated when the clutch plates engage, allowing power transfer for vehicle movement. The amount of torque depends on the friction between the plates and the axial force applied. Proper torque management is essential for smooth gear changes and efficient vehicle performance. Excessive torque can lead to slipping, while insufficient torque can cause stalling.






How to Calculate Friction Torque on Clutch from Constant Pressure Theory given Axial Force?

Friction Torque on Clutch from Constant Pressure Theory given Axial Force calculator uses 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))) to calculate the Friction Torque on Clutch, Friction Torque on Clutch from Constant Pressure Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the interaction between the clutch surface and the pressure applied, which affects the clutch's performance and efficiency. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Clutch from Constant Pressure Theory given Axial Force using this online calculator? To use this online calculator for Friction Torque on Clutch from Constant Pressure Theory given Axial Force, enter Coefficient of Friction Clutch (μ), Axial Force for Clutch (Pa), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) and hit the calculate button. Here is how the Friction Torque on Clutch from Constant Pressure Theory given Axial Force calculation can be explained with given input values -> 245.5678 = 0.2*15332.14*((0.2^3)-(0.1^3))/(3*((0.2^2)-(0.1^2))).

FAQ

What is Friction Torque on Clutch from Constant Pressure Theory given Axial Force?
Friction Torque on Clutch from Constant Pressure Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the interaction between the clutch surface and the pressure applied, which affects the clutch's performance and efficiency and is represented as MT = μ*Pa*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2))) or 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))). 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, 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, 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 Friction Torque on Clutch from Constant Pressure Theory given Axial Force?
Friction Torque on Clutch from Constant Pressure Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the interaction between the clutch surface and the pressure applied, which affects the clutch's performance and efficiency is calculated using 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))). To calculate Friction Torque on Clutch from Constant Pressure Theory given Axial Force, you need Coefficient of Friction Clutch (μ), Axial Force for Clutch (Pa), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, Axial Force for Clutch, 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 Friction Torque on Clutch?
In this formula, Friction Torque on Clutch uses Coefficient of Friction Clutch, Axial Force for Clutch, Outer Diameter of Clutch & Inner Diameter of Clutch. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)))
  • 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 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)))
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