Friction Torque on Centrifugal Clutch Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
MT = μ*M*rg*rd*zs*((ω2^2)-(ω1^2))
This formula uses 8 Variables
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.
Mass of Clutch - (Measured in Kilogram) - Mass of Clutch is the weight of the quantity of matter in the friction clutch.
Radius of CG Point of Clutch - (Measured in Meter) - The Radius of CG Point of Clutch shoe is the radial distance of the center of gravity of the shoe of a clutch from the clutch center.
Radius of Clutch Drum - (Measured in Meter) - The Radius of Clutch Drum is the radius of the internal surface of the drum of a clutch.
Number of Shoes in Centrifugal Clutch - The Number of Shoes in Centrifugal Clutch is the total number of shoes present in the centrifugal clutch.
Running Speed of Clutch - (Measured in Radian per Second) - The Running Speed of Clutch is the running speed of a centrifugal clutch.
Speed at which Engagement Starts in Clutch - (Measured in Radian per Second) - The Speed at which Engagement Starts in Clutch is the angular velocity of the centrifugal clutch at which engagement starts.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Mass of Clutch: 3.7 Kilogram --> 3.7 Kilogram No Conversion Required
Radius of CG Point of Clutch: 140 Millimeter --> 0.14 Meter (Check conversion here)
Radius of Clutch Drum: 165 Millimeter --> 0.165 Meter (Check conversion here)
Number of Shoes in Centrifugal Clutch: 4 --> No Conversion Required
Running Speed of Clutch: 78.54 Radian per Second --> 78.54 Radian per Second No Conversion Required
Speed at which Engagement Starts in Clutch: 52.36 Radian per Second --> 52.36 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MT = μ*M*rg*rd*zs*((ω2^2)-(ω1^2)) --> 0.2*3.7*0.14*0.165*4*((78.54^2)-(52.36^2))
Evaluating ... ...
MT = 234.321953712
STEP 3: Convert Result to Output's Unit
234.321953712 Newton Meter -->234321.953712 Newton Millimeter (Check conversion here)
FINAL ANSWER
234321.953712 234322 Newton Millimeter <-- Friction Torque on Clutch
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

4 Design of Centrifugal Clutches Calculators

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 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))
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)

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)

Friction Torque on Centrifugal Clutch Formula

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))
MT = μ*M*rg*rd*zs*((ω2^2)-(ω1^2))

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 Centrifugal Clutch?

Friction Torque on Centrifugal Clutch calculator uses 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)) to calculate the Friction Torque on Clutch, Friction Torque on Centrifugal Clutch is defined as the torque acting onto the friction clutch plate when the clutch is engaged and a result of friction between the clutch and the shoes. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Centrifugal Clutch using this online calculator? To use this online calculator for Friction Torque on Centrifugal Clutch, enter Coefficient of Friction Clutch (μ), Mass of Clutch (M), Radius of CG Point of Clutch (rg), Radius of Clutch Drum (rd), Number of Shoes in Centrifugal Clutch (zs), Running Speed of Clutch 2) & Speed at which Engagement Starts in Clutch 1) and hit the calculate button. Here is how the Friction Torque on Centrifugal Clutch calculation can be explained with given input values -> 2.3E+8 = 0.2*3.7*0.14*0.165*4*((78.54^2)-(52.36^2)).

FAQ

What is Friction Torque on Centrifugal Clutch?
Friction Torque on Centrifugal Clutch is defined as the torque acting onto the friction clutch plate when the clutch is engaged and a result of friction between the clutch and the shoes and is represented as MT = μ*M*rg*rd*zs*((ω2^2)-(ω1^2)) or 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)). 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, Mass of Clutch is the weight of the quantity of matter in the friction clutch, The Radius of CG Point of Clutch shoe is the radial distance of the center of gravity of the shoe of a clutch from the clutch center, The Radius of Clutch Drum is the radius of the internal surface of the drum of a clutch, The Number of Shoes in Centrifugal Clutch is the total number of shoes present in the centrifugal clutch, The Running Speed of Clutch is the running speed of a centrifugal clutch & The Speed at which Engagement Starts in Clutch is the angular velocity of the centrifugal clutch at which engagement starts.
How to calculate Friction Torque on Centrifugal Clutch?
Friction Torque on Centrifugal Clutch is defined as the torque acting onto the friction clutch plate when the clutch is engaged and a result of friction between the clutch and the shoes is calculated using 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)). To calculate Friction Torque on Centrifugal Clutch, you need Coefficient of Friction Clutch (μ), Mass of Clutch (M), Radius of CG Point of Clutch (rg), Radius of Clutch Drum (rd), Number of Shoes in Centrifugal Clutch (zs), Running Speed of Clutch 2) & Speed at which Engagement Starts in Clutch 1). With our tool, you need to enter the respective value for 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 & Speed at which Engagement Starts in 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, Mass of Clutch, Radius of CG Point of Clutch, Radius of Clutch Drum, Number of Shoes in Centrifugal Clutch, Running Speed of Clutch & Speed at which Engagement Starts in Clutch. We can use 4 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*(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))
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