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 at Clutch Shoe*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) - Friction Torque on Clutch is the torque generated due to frictional forces between the clutch and the rotating shaft in a centrifugal clutch design.
Coefficient of Friction Clutch - Coefficient of Friction Clutch is the ratio of the frictional force to the normal force between the clutch and the rotating drum in a centrifugal clutch design.
Mass of Clutch - (Measured in Kilogram) - Mass of Clutch is the total weight of the centrifugal clutch, including the shoes, springs, and other components that rotate with the engine.
Radius of CG Point at Clutch Shoe - (Measured in Meter) - Radius of CG Point at Clutch Shoe is the distance from the center of gravity of the clutch shoe to the axis of rotation in a centrifugal clutch design.
Radius of Clutch Drum - (Measured in Meter) - Radius of Clutch Drum is the distance from the center of the clutch drum to its outer edge, influencing the clutch's overall performance and design.
Number of Shoes in Centrifugal Clutch - Number of Shoes in Centrifugal Clutch is the total count of shoes or blocks in a centrifugal clutch that helps in power transmission and engages at a certain speed.
Running Speed of Clutch - (Measured in Radian per Second) - Running Speed of Clutch is the speed at which the clutch rotates, playing a crucial role in the design and performance of centrifugal clutches.
Speed at which Engagement Starts in Clutch - (Measured in Radian per Second) - Speed at which Engagement Starts in Clutch is the rate at which the clutch begins to engage in a centrifugal clutch design, affecting its overall performance.
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 at Clutch Shoe: 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 00.004 seconds)

Credits

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

Design of Centrifugal Clutches Calculators

Friction Torque on Centrifugal Clutch
​ LaTeX ​ Go Friction Torque on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point at Clutch Shoe*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
​ LaTeX ​ Go Force of Friction on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point at Clutch Shoe*(Running Speed of Clutch^2-Speed at which Engagement Starts in Clutch^2)
Spring Force in Centrifugal Clutch
​ LaTeX ​ Go Spring Force in Centrifugal Clutch = Mass of Clutch*(Speed at which Engagement Starts in Clutch^2)*Radius of CG Point at Clutch Shoe
Centrifugal Force on Clutch
​ LaTeX ​ Go Centrifugal Force on Clutch = (Mass of Clutch*(Speed at which Engagement Starts in Clutch^2)*Radius of CG Point at Clutch Shoe)

Friction Torque on Centrifugal Clutch Formula

​LaTeX ​Go
Friction Torque on Clutch = Coefficient of Friction Clutch*Mass of Clutch*Radius of CG Point at Clutch Shoe*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 Friction Torque?

Friction torque is the resistance to rotation caused by friction between two contacting surfaces. It occurs when one surface attempts to rotate relative to another, and the frictional forces oppose this motion. In mechanical systems like clutches, brakes, and bearings, friction torque plays a key role in controlling rotational movement and transmitting power. The amount of friction torque depends on the normal force pressing the surfaces together, the coefficient of friction, and the distance from the center of rotation. Proper management of friction torque is essential for efficient and reliable operation of rotating components.






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 at Clutch Shoe*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 at Clutch Shoe (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 at Clutch Shoe*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 is the ratio of the frictional force to the normal force between the clutch and the rotating drum in a centrifugal clutch design, Mass of Clutch is the total weight of the centrifugal clutch, including the shoes, springs, and other components that rotate with the engine, Radius of CG Point at Clutch Shoe is the distance from the center of gravity of the clutch shoe to the axis of rotation in a centrifugal clutch design, Radius of Clutch Drum is the distance from the center of the clutch drum to its outer edge, influencing the clutch's overall performance and design, Number of Shoes in Centrifugal Clutch is the total count of shoes or blocks in a centrifugal clutch that helps in power transmission and engages at a certain speed, Running Speed of Clutch is the speed at which the clutch rotates, playing a crucial role in the design and performance of centrifugal clutches & Speed at which Engagement Starts in Clutch is the rate at which the clutch begins to engage in a centrifugal clutch design, affecting its overall performance.
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 at Clutch Shoe*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 at Clutch Shoe (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 at Clutch Shoe, 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.
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