Frictional Torque on Clutch from Constant Wear Theory given Diameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
MT = pi*μ*pa*di*((do^2)-(di^2))/8
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Permissible Intensity of Pressure in Clutch - (Measured in Pascal) - The Permissible Intensity of Pressure in Clutch is the allowable value of pressure acting in 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.
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.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Permissible Intensity of Pressure in Clutch: 1.01 Newton per Square Millimeter --> 1010000 Pascal (Check conversion here)
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
MT = pi*μ*pa*di*((do^2)-(di^2))/8 --> pi*0.2*1010000*0.1*((0.2^2)-(0.1^2))/8
Evaluating ... ...
MT = 237.975643509427
STEP 3: Convert Result to Output's Unit
237.975643509427 Newton Meter -->237975.643509427 Newton Millimeter (Check conversion here)
FINAL ANSWER
237975.643509427 237975.6 Newton Millimeter <-- Friction Torque on Clutch
(Calculation completed in 00.004 seconds)

Credits

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

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))
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque
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)))
Coefficient of Friction of Clutch from Constant Wear Theory
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)))
Frictional Torque on Clutch from Constant Wear Theory given Diameters
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
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 Torque on Multiple Disk Clutch from Constant Wear Theory
Go 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
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Axial Force
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 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 Clutch from Constant Wear Theory given Permissible Intensity of Pressure
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
Coefficient of Friction of Clutch from Constant Wear Theory given Axial Force
Go Coefficient of Friction Clutch = 4*Friction Torque on Clutch/(Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))
Axial Force on Clutch from Constant Wear Theory given Friction Torque
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 Clutch from Constant Wear Theory given Diameters
Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/4
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

Frictional Torque on Clutch from Constant Wear Theory given Diameters Formula

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
MT = pi*μ*pa*di*((do^2)-(di^2))/8

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 Frictional Torque on Clutch from Constant Wear Theory given Diameters?

Frictional Torque on Clutch from Constant Wear Theory given Diameters calculator uses 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 to calculate the Friction Torque on Clutch, Frictional Torque on Clutch from Constant Wear Theory given Diameters is defined as the force acting onto the clutch 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 Frictional Torque on Clutch from Constant Wear Theory given Diameters using this online calculator? To use this online calculator for Frictional Torque on Clutch from Constant Wear Theory given Diameters, enter Coefficient of Friction Clutch (μ), Permissible Intensity of Pressure in Clutch (pa), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do) and hit the calculate button. Here is how the Frictional Torque on Clutch from Constant Wear Theory given Diameters calculation can be explained with given input values -> 2.4E+8 = pi*0.2*1010000*0.1*((0.2^2)-(0.1^2))/8.

FAQ

What is Frictional Torque on Clutch from Constant Wear Theory given Diameters?
Frictional Torque on Clutch from Constant Wear Theory given Diameters is defined as the force acting onto the clutch when the clutch is engaged and a result of friction between the clutch and is represented as MT = pi*μ*pa*di*((do^2)-(di^2))/8 or 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. 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, The Permissible Intensity of Pressure in Clutch is the allowable value of pressure acting in the friction clutch, Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch & Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
How to calculate Frictional Torque on Clutch from Constant Wear Theory given Diameters?
Frictional Torque on Clutch from Constant Wear Theory given Diameters is defined as the force acting onto the clutch 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*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/8. To calculate Frictional Torque on Clutch from Constant Wear Theory given Diameters, you need Coefficient of Friction Clutch (μ), Permissible Intensity of Pressure in Clutch (pa), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, Permissible Intensity of Pressure in 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 Friction Torque on Clutch?
In this formula, Friction Torque on Clutch uses Coefficient of Friction Clutch, Permissible Intensity of Pressure in Clutch, Inner Diameter of Clutch & Outer Diameter of Clutch. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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*Pairs of Contacting Surface of Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/4
  • Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/4
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