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Friction Torque on Clutch is the torque generated due to frictional forces between the clutch plate and the flywheel in a constant pressure clutch system. Check FAQs
MT=πμPp(do3)-(di clutch3)12
MT - Friction Torque on Clutch?μ - Coefficient of Friction Clutch?Pp - Pressure between Clutch Plates?do - Outer Diameter of Clutch?di clutch - Inner Diameter of Clutch?π - Archimedes' constant?

Friction Torque on Clutch from Constant Pressure Theory given Pressure Example

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Here is how the Friction Torque on Clutch from Constant Pressure Theory given Pressure equation looks like with Values.

Here is how the Friction Torque on Clutch from Constant Pressure Theory given Pressure equation looks like with Units.

Here is how the Friction Torque on Clutch from Constant Pressure Theory given Pressure equation looks like.

238.4999Edit=3.14160.2Edit0.6507Edit(200Edit3)-(100Edit3)12
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Friction Torque on Clutch from Constant Pressure Theory given Pressure Solution

Follow our step by step solution on how to calculate Friction Torque on Clutch from Constant Pressure Theory given Pressure?

FIRST Step Consider the formula
MT=πμPp(do3)-(di clutch3)12
Next Step Substitute values of Variables
MT=π0.20.6507N/mm²(200mm3)-(100mm3)12
Next Step Substitute values of Constants
MT=3.14160.20.6507N/mm²(200mm3)-(100mm3)12
Next Step Convert Units
MT=3.14160.2650716Pa(0.2m3)-(0.1m3)12
Next Step Prepare to Evaluate
MT=3.14160.2650716(0.23)-(0.13)12
Next Step Evaluate
MT=238.499870603556N*m
LAST Step Rounding Answer
MT=238.4999N*m

Friction Torque on Clutch from Constant Pressure Theory given Pressure Formula Elements

Variables
Constants
Friction Torque on Clutch
Friction Torque on Clutch is the torque generated due to frictional forces between the clutch plate and the flywheel in a constant pressure clutch system.
Symbol: MT
Measurement: TorqueUnit: N*m
Note: Value should be greater than 0.
Coefficient of Friction Clutch
Coefficient of Friction Clutch is the ratio of the frictional force to the normal force between the clutch and the flywheel in constant pressure theory.
Symbol: μ
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Pressure between Clutch Plates
Pressure between Clutch Plates is the force exerted per unit area between the clutch plates in a constant pressure theory, affecting the clutch's performance and efficiency.
Symbol: Pp
Measurement: PressureUnit: N/mm²
Note: Value should be greater than 0.
Outer Diameter of Clutch
Outer Diameter of Clutch is the diameter of the clutch outer surface, which is a critical parameter in the constant pressure theory of clutch design.
Symbol: do
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Inner Diameter of Clutch
Inner Diameter of Clutch is the diameter of the inner circle of the clutch plate in a constant pressure theory, which affects the clutch's performance and efficiency.
Symbol: di clutch
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Friction Torque on Clutch

​Go Friction Torque on Cone Clutch from Constant Pressure Theory
MT=πμPc(do3)-(di clutch3)12(sin(α))
​Go Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force
MT=μPm(do3)-(di clutch3)3(sin(α))((do2)-(di clutch2))
​Go Friction Torque on Multiple Disk Clutch from Constant Pressure Theory
MT=μPmz(do3)-(di clutch3)3((do2)-(di clutch2))
​Go Friction Torque on Clutch from Constant Pressure Theory given Axial Force
MT=μPa(do3)-(di clutch3)3((do2)-(di clutch2))

Other formulas in Constant Pressure Theory category

​Go Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter
Pa=πPp(do2)-(di clutch2)4
​Go Pressure on Clutch Plate from Constant Pressure Theory given Axial Force
Pp=4Paπ((do2)-(di clutch2))
​Go Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter
Pa=MT3(do2-di clutch2)μ(do3-di clutch3)
​Go Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters
μ=12MTπPp((do3)-(di clutch3))

How to Evaluate Friction Torque on Clutch from Constant Pressure Theory given Pressure?

Friction Torque on Clutch from Constant Pressure Theory given Pressure evaluator uses Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12 to evaluate the Friction Torque on Clutch, Friction Torque on Clutch from Constant Pressure Theory given Pressure formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the pressure applied on the clutch surface, and is a critical parameter in the design and operation of clutches in mechanical systems. Friction Torque on Clutch is denoted by MT symbol.

How to evaluate Friction Torque on Clutch from Constant Pressure Theory given Pressure using this online evaluator? To use this online evaluator for Friction Torque on Clutch from Constant Pressure Theory given Pressure, enter Coefficient of Friction Clutch (μ), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) and hit the calculate button.

FAQs on Friction Torque on Clutch from Constant Pressure Theory given Pressure

What is the formula to find Friction Torque on Clutch from Constant Pressure Theory given Pressure?
The formula of Friction Torque on Clutch from Constant Pressure Theory given Pressure is expressed as Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12. Here is an example- 245.5678 = pi*0.2*650716*((0.2^3)-(0.1^3))/12.
How to calculate Friction Torque on Clutch from Constant Pressure Theory given Pressure?
With Coefficient of Friction Clutch (μ), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) we can find Friction Torque on Clutch from Constant Pressure Theory given Pressure using the formula - Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12. This formula also uses Archimedes' constant .
What are the other ways to Calculate Friction Torque on Clutch?
Here are the different ways to Calculate Friction Torque on Clutch-
  • 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)))OpenImg
  • 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)))OpenImg
  • 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)))OpenImg
Can the Friction Torque on Clutch from Constant Pressure Theory given Pressure be negative?
No, the Friction Torque on Clutch from Constant Pressure Theory given Pressure, measured in Torque cannot be negative.
Which unit is used to measure Friction Torque on Clutch from Constant Pressure Theory given Pressure?
Friction Torque on Clutch from Constant Pressure Theory given Pressure is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Friction Torque on Clutch from Constant Pressure Theory given Pressure can be measured.
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