Friction Torque on Cone Clutch from Constant Pressure Theory Calculator

✖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.ⓘ Coefficient of Friction Clutch [μ]			+10% -10%
✖Constant Pressure between Clutch Plates is the pressure applied uniformly throughout the clutch plates to ensure efficient power transmission in a vehicle's clutch system.ⓘ Constant Pressure between Clutch Plates [P_c]			+10% -10%
✖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.ⓘ Outer Diameter of Clutch [d_o]			+10% -10%
✖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.ⓘ Inner Diameter of Clutch [d_{i clutch}]			+10% -10%
✖Semi-Cone Angle of Clutch is the angle at which the clutch engages or disengages in a semi-conical shape, affecting the pressure distribution and performance.ⓘ Semi-Cone Angle of Clutch [α]			+10% -10%

✖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.ⓘ Friction Torque on Cone Clutch from Constant Pressure Theory [M_T]

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Friction Torque on Cone Clutch from Constant Pressure Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
M_T = pi*μ*P_c*((d_o^3)-(d_{i clutch}^3))/(12*(sin(α)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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) - 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.
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.
Constant Pressure between Clutch Plates - (Measured in Pascal) - Constant Pressure between Clutch Plates is the pressure applied uniformly throughout the clutch plates to ensure efficient power transmission in a vehicle's clutch system.
Outer Diameter of Clutch - (Measured in Meter) - 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.
Inner Diameter of Clutch - (Measured in Meter) - 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.
Semi-Cone Angle of Clutch - (Measured in Radian) - Semi-Cone Angle of Clutch is the angle at which the clutch engages or disengages in a semi-conical shape, affecting the pressure distribution and performance.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Constant Pressure between Clutch Plates: 0.14 Newton per Square Millimeter --> 140000 Pascal (Check conversion here)
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: 12.424 Degree --> 0.216839706267735 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_T = pi*μ*P_c*((d_o^3)-(d_{i clutch}^3))/(12*(sin(α))) --> pi*0.2*140000*((0.2^3)-(0.1^3))/(12*(sin(0.216839706267735)))

Evaluating ... ...

M_T = 238.50342481547

STEP 3: Convert Result to Output's Unit

238.50342481547 Newton Meter --> No Conversion Required

FINAL ANSWER

238.50342481547 ≈ 238.5034 Newton Meter <-- Friction Torque on Clutch

(Calculation completed in 00.020 seconds)

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

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< Constant Pressure Theory Calculators

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter

LaTeX 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 for Clutch from Constant Pressure Theory given Diameters

LaTeX 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 Axial Force

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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?

Friction Torque on Cone Clutch from Constant Pressure Theory calculator uses 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))) to calculate the Friction Torque on Clutch, Friction Torque on Cone Clutch from Constant Pressure Theory formula is defined as the measure of the rotational force that opposes the motion of a cone clutch, which is influenced by the pressure, diameter, and angle of the clutch. Friction Torque on Clutch is denoted by M_T symbol.

How to calculate Friction Torque on Cone Clutch from Constant Pressure Theory using this online calculator? To use this online calculator for Friction Torque on Cone Clutch from Constant Pressure Theory, enter Coefficient of Friction Clutch (μ), Constant Pressure between Clutch Plates (P_c), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_{i clutch}) & Semi-Cone Angle of Clutch (α) and hit the calculate button. Here is how the Friction Torque on Cone Clutch from Constant Pressure Theory calculation can be explained with given input values -> 238.5412 = pi*0.2*140000*((0.2^3)-(0.1^3))/(12*(sin(0.216839706267735))).

FAQ

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

Friction Torque on Cone Clutch from Constant Pressure Theory formula is defined as the measure of the rotational force that opposes the motion of a cone clutch, which is influenced by the pressure, diameter, and angle of the clutch and is represented as M_T = pi*μ*P_c*((d_o^3)-(d_{i clutch}^3))/(12*(sin(α))) or 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))). 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, Constant Pressure between Clutch Plates is the pressure applied uniformly throughout the clutch plates to ensure efficient power transmission in a vehicle's clutch system, 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, 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 & Semi-Cone Angle of Clutch is the angle at which the clutch engages or disengages in a semi-conical shape, affecting the pressure distribution and performance.

How to calculate Friction Torque on Cone Clutch from Constant Pressure Theory?

Friction Torque on Cone Clutch from Constant Pressure Theory formula is defined as the measure of the rotational force that opposes the motion of a cone clutch, which is influenced by the pressure, diameter, and angle of the clutch is calculated using 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))). To calculate Friction Torque on Cone Clutch from Constant Pressure Theory, you need Coefficient of Friction Clutch (μ), Constant Pressure between Clutch Plates (P_c), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_{i clutch}) & Semi-Cone Angle of Clutch (α). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, Constant Pressure between Clutch Plates, 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, Constant Pressure between Clutch Plates, Outer Diameter of Clutch, Inner Diameter of Clutch & Semi-Cone Angle of Clutch. We can use 3 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^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*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

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