Friction Torque on Cone Clutch from Constant Pressure Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
MT = pi*μ*Pc*((do^3)-(di^3))/(12*(sin(α)))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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) - The Friction Torque on Clutch is the torque that is acting on the friction clutch.
Coefficient of Friction Clutch - Coefficient of Friction Clutch (μ) is the ratio defining the force that resists the motion of clutch in relation to another body in contact with it.
Constant Pressure between Clutch Plates - (Measured in Pascal) - Constant Pressure between Clutch Plates is defined as the constant force per unit area exerted on the clutch plates.
Outer Diameter of Clutch - (Measured in Meter) - Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
Inner Diameter of Clutch - (Measured in Meter) - Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.
Semi-Cone Angle of Clutch - (Measured in Radian) - The Semi-Cone Angle of Clutch is half of the cone angle formed by the cone clutch.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Constant Pressure between Clutch Plates: 0.14 Newton per Square Millimeter --> 140000 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)
Semi-Cone Angle of Clutch: 12.5 Degree --> 0.21816615649925 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MT = pi*μ*Pc*((do^3)-(di^3))/(12*(sin(α))) --> pi*0.2*140000*((0.2^3)-(0.1^3))/(12*(sin(0.21816615649925)))
Evaluating ... ...
MT = 237.076194486824
STEP 3: Convert Result to Output's Unit
237.076194486824 Newton Meter -->237076.194486824 Newton Millimeter (Check conversion here)
FINAL ANSWER
237076.194486824 237076.2 Newton Millimeter <-- Friction Torque on Clutch
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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10+ Design of Cone and Centrifugal Clutches Calculators

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force
Go 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 Cone Clutch from Constant Wear Theory given Semi-Cone Angle
Go 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 Centrifugal Clutch
Go Friction Torque on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point of Clutch*Radius of Clutch Drum*Number of Shoes in Centrifugal Clutch*((Running Speed of Clutch^2)-(Speed at which Engagement Starts in Clutch^2))
Friction Torque on Cone Clutch from Constant Pressure Theory
Go 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 Cone Clutch from Constant Wear Theory given Axial Force
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))
Friction Force on Centrifugal Clutch
Go Force of Friction on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point of Clutch*((Running Speed of Clutch^2)-(Speed at which Engagement Starts in Clutch^2))
Axial Force on Cone Clutch from Constant Wear Theory given Permissible Pressure Intensity
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 Cone Clutch from Constant Wear Theory given Pressure
Go Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
Spring Force in Centrifugal Clutch
Go Spring Force in Centrifugal Clutch = Mass of Clutch*(Speed at which Engagement Starts in Clutch^2)*Radius of CG Point of Clutch
Centrifugal Force on Clutch
Go Centrifugal Force on Clutch = (Mass of Clutch*(Speed at which Engagement Starts in Clutch^2)*Radius of CG Point of Clutch)

8 Constant Pressure Theory Calculators

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force
Go 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 Multiple Disk Clutch from Constant Pressure Theory
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)))
Friction Torque on Cone Clutch from Constant Pressure Theory
Go 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)))
Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter
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 of Clutch from Constant Pressure Theory given Friction Torque
Go 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)))
Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters
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
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
Go Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4

Friction Torque on Cone Clutch from Constant Pressure Theory Formula

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)))
MT = pi*μ*Pc*((do^3)-(di^3))/(12*(sin(α)))

What is a clutch?

The clutch is a mechanical device, which is used to connect or disconnect the source of power from the remaining parts of the power transmission system at the will of the operator.

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

Friction Torque on Cone Clutch from Constant Pressure Theory calculator uses 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))) to calculate the Friction Torque on Clutch, Friction Torque on Cone Clutch from Constant Pressure Theory is defined as the force acting onto the cone clutch plate when the clutch is engaged and a result of friction between the clutch. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Cone Clutch from Constant Pressure Theory using this online calculator? To use this online calculator for Friction Torque on Cone Clutch from Constant Pressure Theory, enter Coefficient of Friction Clutch (μ), Constant Pressure between Clutch Plates (Pc), 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 Pressure Theory calculation can be explained with given input values -> 2.4E+8 = pi*0.2*140000*((0.2^3)-(0.1^3))/(12*(sin(0.21816615649925))).

FAQ

What is Friction Torque on Cone Clutch from Constant Pressure Theory?
Friction Torque on Cone Clutch from Constant Pressure Theory is defined as the force acting onto the cone clutch plate when the clutch is engaged and a result of friction between the clutch and is represented as MT = pi*μ*Pc*((do^3)-(di^3))/(12*(sin(α))) or 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))). Coefficient of Friction Clutch (μ) is the ratio defining the force that resists the motion of clutch in relation to another body in contact with it, Constant Pressure between Clutch Plates is defined as the constant force per unit area exerted on the clutch plates, Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch, Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch & The Semi-Cone Angle of Clutch is half of the cone angle formed by the cone clutch.
How to calculate Friction Torque on Cone Clutch from Constant Pressure Theory?
Friction Torque on Cone Clutch from Constant Pressure Theory is defined as the force acting onto the cone clutch plate when the clutch is engaged and a result of friction between the clutch is calculated using 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))). To calculate Friction Torque on Cone Clutch from Constant Pressure Theory, you need Coefficient of Friction Clutch (μ), Constant Pressure between Clutch Plates (Pc), 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, Constant Pressure between Clutch Plates, 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, Constant Pressure between Clutch Plates, Outer Diameter of Clutch, Inner Diameter of Clutch & Semi-Cone Angle of Clutch. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Friction Torque on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point of Clutch*Radius of Clutch Drum*Number of Shoes in Centrifugal Clutch*((Running Speed of Clutch^2)-(Speed at which Engagement Starts in Clutch^2))
  • 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*(Outer Diameter of Clutch+Inner Diameter of Clutch)/(4*sin(Semi-Cone Angle of Clutch))
  • 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*((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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