Friction Torque on Multiple Disk Clutch from Constant Pressure Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
MT = μ*Pm*z*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2)))
This formula uses 6 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.
Operating Force for Clutch - (Measured in Newton) - Operating Force for Clutch is the force required to engage or disengage the clutch, maintaining a constant pressure in the clutch system.
Pairs of Contacting Surface of Clutch - Pairs of Contacting Surface of Clutch is the number of surfaces in contact between the clutch and flywheel under constant pressure theory.
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
Operating Force for Clutch: 3298.7 Newton --> 3298.7 Newton No Conversion Required
Pairs of Contacting Surface of Clutch: 4.649 --> 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*Pm*z*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2))) --> 0.2*3298.7*4.649*((0.2^3)-(0.1^3))/(3*((0.2^2)-(0.1^2)))
Evaluating ... ...
MT = 238.554653555556
STEP 3: Convert Result to Output's Unit
238.554653555556 Newton Meter --> No Conversion Required
FINAL ANSWER
238.554653555556 238.5547 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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Institute of Aeronautical Engineering (IARE), Hyderabad
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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 Multiple Disk Clutch from Constant Pressure Theory Formula

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

What is Friction Torque on Multiple Disk Clutch?

Friction torque on a multiple disk clutch refers to the resistive torque generated by the frictional forces between the disks when the clutch is engaged. It is the torque required to overcome the friction between the contacting surfaces of multiple disks in the clutch assembly during rotation. This friction torque is crucial for transmitting power efficiently from the engine to the transmission system in vehicles and machinery.

How to Calculate Friction Torque on Multiple Disk Clutch from Constant Pressure Theory?

Friction Torque on Multiple Disk Clutch from Constant Pressure Theory calculator uses 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))) to calculate the Friction Torque on Clutch, Friction Torque on Multiple Disk Clutch from Constant Pressure Theory formula is defined as a measure of the torque generated due to frictional forces in a multiple disk clutch system, where the pressure is constant, and is a critical parameter in the design and analysis of clutches in mechanical systems. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Multiple Disk Clutch from Constant Pressure Theory using this online calculator? To use this online calculator for Friction Torque on Multiple Disk Clutch from Constant Pressure Theory, enter Coefficient of Friction Clutch (μ), Operating Force for Clutch (Pm), Pairs of Contacting Surface of Clutch (z), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) and hit the calculate button. Here is how the Friction Torque on Multiple Disk Clutch from Constant Pressure Theory calculation can be explained with given input values -> 238.606 = 0.2*3298.7*4.649*((0.2^3)-(0.1^3))/(3*((0.2^2)-(0.1^2))).

FAQ

What is Friction Torque on Multiple Disk Clutch from Constant Pressure Theory?
Friction Torque on Multiple Disk Clutch from Constant Pressure Theory formula is defined as a measure of the torque generated due to frictional forces in a multiple disk clutch system, where the pressure is constant, and is a critical parameter in the design and analysis of clutches in mechanical systems and is represented as MT = μ*Pm*z*((do^3)-(di clutch^3))/(3*((do^2)-(di clutch^2))) or 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))). 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, Operating Force for Clutch is the force required to engage or disengage the clutch, maintaining a constant pressure in the clutch system, Pairs of Contacting Surface of Clutch is the number of surfaces in contact between the clutch and flywheel under constant pressure theory, 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 Multiple Disk Clutch from Constant Pressure Theory?
Friction Torque on Multiple Disk Clutch from Constant Pressure Theory formula is defined as a measure of the torque generated due to frictional forces in a multiple disk clutch system, where the pressure is constant, and is a critical parameter in the design and analysis of clutches in mechanical systems is calculated using 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))). To calculate Friction Torque on Multiple Disk Clutch from Constant Pressure Theory, you need Coefficient of Friction Clutch (μ), Operating Force for Clutch (Pm), Pairs of Contacting Surface of Clutch (z), 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, Operating Force for Clutch, Pairs of Contacting Surface of 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, Operating Force for Clutch, Pairs of Contacting Surface of 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 = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12
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