Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of Clutch))
MT = μ*Pm*(do+di)/(4*sin(α))
This formula uses 1 Functions, 6 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
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.
Operating Force for Clutch - (Measured in Newton) - Operating Force for Clutch is the force required to engage or disengage the clutch, considering the constant wear and tear of the clutch components over time.
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.
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.
Semi-Cone Angle of Clutch - (Measured in Radian) - Semi-Cone Angle of Clutch is the angle at which the clutch wears out uniformly according to the Constant Wear Theory in a semi-cone shaped clutch.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Operating Force for Clutch: 15900.03 Newton --> 15900.03 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)
Semi-Cone Angle of Clutch: 89.9 Degree --> 1.56905099754261 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MT = μ*Pm*(do+di)/(4*sin(α)) --> 0.2*15900.03*(0.2+0.1)/(4*sin(1.56905099754261))
Evaluating ... ...
MT = 238.50081325742
STEP 3: Convert Result to Output's Unit
238.50081325742 Newton Meter -->238500.81325742 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
238500.81325742 238500.8 Newton Millimeter <-- 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 Chilvera Bhanu Teja
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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))

Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force Formula

​LaTeX ​Go
Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of Clutch))
MT = μ*Pm*(do+di)/(4*sin(α))

What is Axial Force?


Axial force is a force that acts along the axis of a component, causing tension or compression. It plays a significant role in various mechanical systems, affecting the performance and stability of elements such as beams, shafts, and clutches. In applications like clutches, axial force helps engage or disengage components, ensuring proper operation. Proper management of axial force is crucial for preventing failure and maintaining structural integrity. It is essential for analyzing load-bearing elements in engineering design.

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

Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force calculator uses Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of Clutch)) to calculate the Friction Torque on Clutch, Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of a cone clutch, influenced by the axial force, cone dimensions, and friction coefficient, providing insights into the clutch's performance and efficiency. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force using this online calculator? To use this online calculator for Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force, enter Coefficient of Friction Clutch (μ), Operating Force for Clutch (Pm), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di) & Semi-Cone Angle of Clutch (α) and hit the calculate button. Here is how the Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force calculation can be explained with given input values -> 2E+8 = 0.2*15900.03*(0.2+0.1)/(4*sin(1.56905099754261)).

FAQ

What is Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force?
Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of a cone clutch, influenced by the axial force, cone dimensions, and friction coefficient, providing insights into the clutch's performance and efficiency and is represented as MT = μ*Pm*(do+di)/(4*sin(α)) or Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of 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, Operating Force for Clutch is the force required to engage or disengage the clutch, considering the constant wear and tear of the clutch components over time, Outer Diameter of Clutch is the maximum diameter of the clutch that remains constant during the wear process in the constant wear theory, Inner Diameter of Clutch is the diameter of the clutch that remains constant during the wear process, affecting the clutch's performance and lifespan & Semi-Cone Angle of Clutch is the angle at which the clutch wears out uniformly according to the Constant Wear Theory in a semi-cone shaped clutch.
How to calculate Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force?
Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of a cone clutch, influenced by the axial force, cone dimensions, and friction coefficient, providing insights into the clutch's performance and efficiency is calculated using Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of Clutch)). To calculate Friction Torque on Cone Clutch from Constant Wear Theory given Axial Force, you need Coefficient of Friction Clutch (μ), Operating Force for Clutch (Pm), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di) & Semi-Cone Angle of Clutch (α). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, Operating Force for Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Semi-Cone Angle 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, Outer Diameter of Clutch, Inner Diameter of Clutch & Semi-Cone Angle 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*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/(8*sin(Semi-Cone Angle of Clutch))
  • Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*Pairs of Contacting Surface of Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/4
  • Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/8
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