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

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✖Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed.ⓘ Pressure between Clutch Plates [P_p]			+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%

✖Axial Force for Clutch is defined as the compression or tension force acting on the clutch along the axis.ⓘ Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter [P_a]

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Formula

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

Formula

`"P"_{"a"} = pi*"P"_{"p"}*(("d"_{"o"}^2)-("d"_{"i"}^2))/4`

Example

`"15786.5N"=pi*"0.67N/mm²"*((("200mm")^2)-(("100mm")^2))/4`

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

STEP 0: Pre-Calculation Summary

Formula Used

Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
P_a = pi*P_p*((d_o^2)-(d_i^2))/4
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Axial Force for Clutch - (Measured in Newton) - Axial Force for Clutch is defined as the compression or tension force acting on the clutch along the axis.
Pressure between Clutch Plates - (Measured in Pascal) - Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure between Clutch Plates: 0.67 Newton per Square Millimeter --> 670000 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_a = pi*P_p*((d_o^2)-(d_i^2))/4 --> pi*670000*((0.2^2)-(0.1^2))/4

Evaluating ... ...

P_a = 15786.5030842887

STEP 3: Convert Result to Output's Unit

15786.5030842887 Newton --> No Conversion Required

FINAL ANSWER

15786.5030842887 ≈ 15786.5 Newton <-- Axial Force for Clutch

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Friction Clutches » Constant Pressure Theory » Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter

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National Institute of Technology (NIT), Tiruchirapalli

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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

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

Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
P_a = pi*P_p*((d_o^2)-(d_i^2))/4

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

Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter calculator uses Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4 to calculate the Axial Force for Clutch, Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged. Axial Force for Clutch is denoted by P_a symbol.

How to calculate Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter using this online calculator? To use this online calculator for Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter, enter Pressure between Clutch Plates (P_p), Outer Diameter of Clutch (d_o) & Inner Diameter of Clutch (d_i) and hit the calculate button. Here is how the Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter calculation can be explained with given input values -> 15786.5 = pi*670000*((0.2^2)-(0.1^2))/4.

FAQ

What is Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter?

Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged and is represented as P_a = pi*P_p*((d_o^2)-(d_i^2))/4 or Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4. Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed, 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.

How to calculate Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter?

Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged is calculated using Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4. To calculate Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter, you need Pressure between Clutch Plates (P_p), Outer Diameter of Clutch (d_o) & Inner Diameter of Clutch (d_i). With our tool, you need to enter the respective value for Pressure between Clutch Plates, Outer Diameter of Clutch & Inner Diameter 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 Axial Force for Clutch?

In this formula, Axial Force for Clutch uses Pressure between Clutch Plates, Outer Diameter of Clutch & Inner Diameter of Clutch. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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