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Friction Torque on Cone Clutch from Constant Pressure Theory Formula

GoFriction Torque on Cone Clutch from Constant Pressure Theory given Axial Force Formula

GoFriction Torque on Multiple Disk Clutch from Constant Pressure Theory Formula

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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

M T = π \cdot μ \cdot P c \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{12 \cdot (\sin (α))}

M_T - Friction Torque on Clutch?μ - Coefficient of Friction Clutch?P_c - Constant Pressure between Clutch Plates?d_o - Outer Diameter of Clutch?d_{i clutch} - Inner Diameter of Clutch?α - Semi-Cone Angle of Clutch?π - Archimedes' constant?

Friction Torque on Cone Clutch from Constant Pressure Theory Example

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

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

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

238.5034 = 3.1416 \cdot 0.2 \cdot 0.14 \cdot \frac{(200^{3}) - (100^{3})}{12 \cdot (\sin (12.424))}

238.5034N*m = 3.1416 \cdot 0.2 \cdot 0.14N/mm² \cdot \frac{({200mm}^{3}) - ({100mm}^{3})}{12 \cdot (\sin (12.424°))}

238.5034 = 3.1416 \cdot 0.2 \cdot 0.14 \cdot \frac{(200^{3}) - (100^{3})}{12 \cdot (\sin (12.424))}

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Friction Torque on Cone Clutch from Constant Pressure Theory Solution

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

FIRST Step Consider the formula

M T = π \cdot μ \cdot P c \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{12 \cdot (\sin (α))}

Next Step Substitute values of Variables

∴

M T = π \cdot 0.2 \cdot 0.14N/mm² \cdot \frac{({200mm}^{3}) - ({100mm}^{3})}{12 \cdot (\sin (12.424°))}

Next Step Substitute values of Constants

∴

M T = 3.1416 \cdot 0.2 \cdot 0.14N/mm² \cdot \frac{({200mm}^{3}) - ({100mm}^{3})}{12 \cdot (\sin (12.424°))}

Next Step Convert Units

∴

M T = 3.1416 \cdot 0.2 \cdot 140000Pa \cdot \frac{({0.2m}^{3}) - ({0.1m}^{3})}{12 \cdot (\sin (0.2168rad))}

Next Step Prepare to Evaluate

∴

M T = 3.1416 \cdot 0.2 \cdot 140000 \cdot \frac{({0.2}^{3}) - ({0.1}^{3})}{12 \cdot (\sin (0.2168))}

Next Step Evaluate

∴

M T = 238.50342481547N*m

LAST Step Rounding Answer

∴

M T = 238.5034N*m

Friction Torque on Cone Clutch from Constant Pressure Theory Formula Elements

Variables

Constants

Functions

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: M_T

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Friction Torque on Clutch

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.

Formulas to find Coefficient of Friction Clutch

Constant Pressure between Clutch Plates

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.

Symbol: P_c

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Constant Pressure between Clutch Plates

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: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Clutch

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: d_{i clutch}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Clutch

Semi-Cone Angle of Clutch

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.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Semi-Cone Angle of Clutch

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

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.

Syntax: sin(Angle)

Other Formulas to find Friction Torque on Clutch

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

M T = μ \cdot P m \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{3 \cdot (\sin (α)) \cdot (({d o}^{2}) - ({d i clutch}^{2}))}

Go Friction Torque on Multiple Disk Clutch from Constant Pressure Theory

M T = μ \cdot P m \cdot z \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{3 \cdot (({d o}^{2}) - ({d i clutch}^{2}))}

Go Friction Torque on Clutch from Constant Pressure Theory given Pressure

M T = π \cdot μ \cdot P p \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{12}

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

M T = μ \cdot P a \cdot \frac{({d o}^{3}) - ({d i clutch}^{3})}{3 \cdot (({d o}^{2}) - ({d i clutch}^{2}))}

Other formulas in Constant Pressure Theory category

Go Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter

P a = π \cdot P p \cdot \frac{({d o}^{2}) - ({d i clutch}^{2})}{4}

Go Pressure on Clutch Plate from Constant Pressure Theory given Axial Force

P p = 4 \cdot \frac{P a}{π \cdot (({d o}^{2}) - ({d i clutch}^{2}))}

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

P a = M T \cdot \frac{3 \cdot ({d o}^{2} - {d i clutch}^{2})}{μ \cdot ({d o}^{3} - {d i clutch}^{3})}

Go Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters

μ = 12 \cdot \frac{M T}{π \cdot P p \cdot (({d o}^{3}) - ({d i clutch}^{3}))}

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

Friction Torque on Cone Clutch from Constant Pressure Theory evaluator 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 evaluate 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 evaluate Friction Torque on Cone Clutch from Constant Pressure Theory using this online evaluator? To use this online evaluator 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.

FAQs on Friction Torque on Cone Clutch from Constant Pressure Theory

What is the formula to find Friction Torque on Cone Clutch from Constant Pressure Theory?

The formula of Friction Torque on Cone Clutch from Constant Pressure Theory is expressed as 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))). Here is an example- 238.5412 = pi*0.2*140000*((0.2^3)-(0.1^3))/(12*(sin(0.216839706267735))).

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

With 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) we can find Friction Torque on Cone Clutch from Constant Pressure Theory using the formula - 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))). This formula also uses Archimedes' constant and Sine function(s).

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=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

Can the Friction Torque on Cone Clutch from Constant Pressure Theory be negative?

No, the Friction Torque on Cone Clutch from Constant Pressure Theory, measured in Torque cannot be negative.

Which unit is used to measure Friction Torque on Cone Clutch from Constant Pressure Theory?

Friction Torque on Cone Clutch from Constant Pressure Theory 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 Cone Clutch from Constant Pressure Theory can be measured.

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Friction Torque on Cone Clutch from Constant Pressure Theory Formula

​GoFriction Torque on Cone Clutch from Constant Pressure Theory given Axial Force Formula

​GoFriction Torque on Multiple Disk Clutch from Constant Pressure Theory Formula

Friction Torque on Cone Clutch from Constant Pressure Theory Example

Friction Torque on Cone Clutch from Constant Pressure Theory Solution

Friction Torque on Cone Clutch from Constant Pressure Theory Formula Elements

Other Formulas to find Friction Torque on Clutch

Other formulas in Constant Pressure Theory category

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

FAQs on Friction Torque on Cone Clutch from Constant Pressure Theory

Variable Name

GoFriction Torque on Cone Clutch from Constant Pressure Theory given Axial Force Formula

GoFriction Torque on Multiple Disk Clutch from Constant Pressure Theory Formula