Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force Calculator

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Design of Friction Clutches

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Constant Pressure Theory

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✖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.ⓘ Coefficient of Friction Clutch [μ]			+10% -10%
✖Operating Force for Clutch is defined as the force that is exerted onto the clutch so as the clutch is engaged.ⓘ Operating Force for Clutch [P_m]			+10% -10%
✖Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.ⓘ Outer Diameter of Clutch [d_o]			+10% -10%
✖Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.ⓘ Inner Diameter of Clutch [d_i]			+10% -10%
✖The Semi-Cone Angle of Clutch is half of the cone angle formed by the cone clutch.ⓘ Semi-Cone Angle of Clutch [α]			+10% -10%

✖The Friction Torque on Clutch is the torque that is acting on the friction clutch.ⓘ Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force [M_T]

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Formula

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Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force

Formula

`"M"_{"T"} = "μ"*"P"_{"m"}*(("d"_{"o"}^3)-("d"_{"i"}^3))/(3*(sin("α"))*(("d"_{"o"}^2)-("d"_{"i"}^2)))`

Example

`"220282.1N*mm"="0.2"*"3065N"*((("200mm")^3)-(("100mm")^3))/(3*(sin("12.5°"))*((("200mm")^2)-(("100mm")^2)))`

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Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
M_T = μ*P_m*((d_o^3)-(d_i^3))/(3*(sin(α))*((d_o^2)-(d_i^2)))
This formula uses 1 Functions, 6 Variables

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.
Operating Force for Clutch - (Measured in Newton) - Operating Force for Clutch is defined as the force that is exerted onto the clutch so as the clutch is engaged.
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
Operating Force for Clutch: 3065 Newton --> 3065 Newton No Conversion Required
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

M_T = μ*P_m*((d_o^3)-(d_i^3))/(3*(sin(α))*((d_o^2)-(d_i^2))) --> 0.2*3065*((0.2^3)-(0.1^3))/(3*(sin(0.21816615649925))*((0.2^2)-(0.1^2)))

Evaluating ... ...

M_T = 220.282123546115

STEP 3: Convert Result to Output's Unit

220.282123546115 Newton Meter -->220282.123546115 Newton Millimeter (Check conversion here)

FINAL ANSWER

220282.123546115 ≈ 220282.1 Newton Millimeter <-- Friction Torque on Clutch

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Friction Clutches » Constant Pressure Theory » Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force

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< 12 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)))

Friction Torque on Clutch from Constant Pressure Theory given Axial Force

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Collar Friction Torque in Accordance of Uniform Pressure Theory

Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))

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 Friction Torque

Go Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))

Friction Torque on Clutch from Constant Pressure Theory given Pressure

Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12

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 given Axial Force Formula

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 given Axial Force?

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force calculator uses 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))) to calculate the Friction Torque on Clutch, Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force 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 M_T symbol.

How to calculate Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force using this online calculator? To use this online calculator for Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force, enter Coefficient of Friction Clutch (μ), Operating Force for Clutch (P_m), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_i) & Semi-Cone Angle of Clutch (α) and hit the calculate button. Here is how the Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force calculation can be explained with given input values -> 2.2E+8 = 0.2*3065*((0.2^3)-(0.1^3))/(3*(sin(0.21816615649925))*((0.2^2)-(0.1^2))).

FAQ

What is Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force?

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force 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 M_T = μ*P_m*((d_o^3)-(d_i^3))/(3*(sin(α))*((d_o^2)-(d_i^2))) or 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))). 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, Operating Force for Clutch is defined as the force that is exerted onto the clutch so as the clutch is engaged, 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 given Axial Force?

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force 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 = 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))). To calculate Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force, you need Coefficient of Friction Clutch (μ), Operating Force for Clutch (P_m), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_i) & Semi-Cone Angle of Clutch (α). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, Operating Force for Clutch, 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, Operating Force for Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Semi-Cone Angle of 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*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 Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12
Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for 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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