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

GoFriction Torque on Cone Clutch from Constant Pressure Theory 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 = 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}))}

M_T - Friction Torque on Clutch?μ - Coefficient of Friction Clutch?P_m - Operating Force for Clutch?d_o - Outer Diameter of Clutch?d_{i clutch} - Inner Diameter of Clutch?α - Semi-Cone Angle of Clutch?

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

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

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

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

238.5054 = 0.2 \cdot 3298.7 \cdot \frac{(200^{3}) - (100^{3})}{3 \cdot (\sin (12.424)) \cdot ((200^{2}) - (100^{2}))}

238.5054N*m = 0.2 \cdot 3298.7N \cdot \frac{({200mm}^{3}) - ({100mm}^{3})}{3 \cdot (\sin (12.424°)) \cdot (({200mm}^{2}) - ({100mm}^{2}))}

238.5054 = 0.2 \cdot 3298.7 \cdot \frac{(200^{3}) - (100^{3})}{3 \cdot (\sin (12.424)) \cdot ((200^{2}) - (100^{2}))}

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

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

M T = 0.2 \cdot 3298.7N \cdot \frac{({200mm}^{3}) - ({100mm}^{3})}{3 \cdot (\sin (12.424°)) \cdot (({200mm}^{2}) - ({100mm}^{2}))}

Next Step Convert Units

∴

M T = 0.2 \cdot 3298.7N \cdot \frac{({0.2m}^{3}) - ({0.1m}^{3})}{3 \cdot (\sin (0.2168rad)) \cdot (({0.2m}^{2}) - ({0.1m}^{2}))}

Next Step Prepare to Evaluate

∴

M T = 0.2 \cdot 3298.7 \cdot \frac{({0.2}^{3}) - ({0.1}^{3})}{3 \cdot (\sin (0.2168)) \cdot (({0.2}^{2}) - ({0.1}^{2}))}

Next Step Evaluate

∴

M T = 238.50542859733N*m

LAST Step Rounding Answer

∴

M T = 238.5054N*m

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

Variables

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

Operating Force for Clutch

Operating Force for Clutch is the force required to engage or disengage the clutch, maintaining a constant pressure in the clutch system.

Symbol: P_m

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Operating Force for Clutch

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

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

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

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 given Axial Force?

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force evaluator 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 evaluate the Friction Torque on Clutch, Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force formula is defined as a measure of the rotational force that opposes the motion of a cone clutch, influenced by the axial force and surface characteristics 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 given Axial Force using this online evaluator? To use this online evaluator 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 clutch}) & Semi-Cone Angle of Clutch (α) and hit the calculate button.

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

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

The formula of Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force is expressed as 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))). Here is an example- 238.4982 = 0.2*3298.7*((0.2^3)-(0.1^3))/(3*(sin(0.216839706267735))*((0.2^2)-(0.1^2))).

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

With Coefficient of Friction Clutch (μ), Operating Force for Clutch (P_m), 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 given Axial Force using the formula - 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))). This formula also uses Sine (sin) 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=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

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

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

Which unit is used to measure 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 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 given Axial Force can be measured.

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

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

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

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

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

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GoFriction Torque on Cone Clutch from Constant Pressure Theory Formula

GoFriction Torque on Multiple Disk Clutch from Constant Pressure Theory Formula