Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Pp = 12*MT/(pi*μ*((do^3)-(di clutch^3)))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Pressure between Clutch Plates - (Measured in Pascal) - Pressure between Clutch Plates is the force exerted per unit area between the clutch plates in a constant pressure theory, affecting the clutch's performance and efficiency.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238.5 Newton Meter --> 238.5 Newton Meter No Conversion Required
Coefficient of Friction Clutch: 0.2 --> 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pp = 12*MT/(pi*μ*((do^3)-(di clutch^3))) --> 12*238.5/(pi*0.2*((0.2^3)-(0.1^3)))
Evaluating ... ...
Pp = 650716.353041435
STEP 3: Convert Result to Output's Unit
650716.353041435 Pascal -->0.650716353041435 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
0.650716353041435 0.650716 Newton per Square Millimeter <-- Pressure between Clutch Plates
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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

Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque Formula

​LaTeX ​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)))
Pp = 12*MT/(pi*μ*((do^3)-(di clutch^3)))

What is Friction Torque?

Friction torque is the torque produced by the frictional force between two surfaces in contact when one surface attempts to rotate relative to the other. This torque resists the motion and is influenced by the magnitude of the frictional force and the distance from the center of rotation. In mechanical systems like clutches and brakes, friction torque plays a critical role in controlling motion and ensuring effective power transmission. Managing friction torque is essential for optimal performance and preventing mechanical failure.






How to Calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?

Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque calculator uses Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))) to calculate the Pressure between Clutch Plates, Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque formula is defined as a measure of the pressure exerted on the clutch plate, which is a critical component in the transmission system of a vehicle, and is influenced by the friction torque and other key parameters. Pressure between Clutch Plates is denoted by Pp symbol.

How to calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque using this online calculator? To use this online calculator for Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque, enter Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) and hit the calculate button. Here is how the Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque calculation can be explained with given input values -> 6.5E-7 = 12*238.5/(pi*0.2*((0.2^3)-(0.1^3))).

FAQ

What is Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?
Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque formula is defined as a measure of the pressure exerted on the clutch plate, which is a critical component in the transmission system of a vehicle, and is influenced by the friction torque and other key parameters and is represented as Pp = 12*MT/(pi*μ*((do^3)-(di clutch^3))) or 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 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 is the ratio of the frictional force to the normal force between the clutch and the flywheel in constant pressure theory, 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.
How to calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?
Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque formula is defined as a measure of the pressure exerted on the clutch plate, which is a critical component in the transmission system of a vehicle, and is influenced by the friction torque and other key parameters is calculated using Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). To calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque, you need Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch). With our tool, you need to enter the respective value for Friction Torque on Clutch, Coefficient of Friction Clutch, 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 Pressure between Clutch Plates?
In this formula, Pressure between Clutch Plates uses Friction Torque on Clutch, Coefficient of Friction Clutch, Outer Diameter of Clutch & Inner Diameter of Clutch. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure between Clutch Plates = 4*Axial Force for Clutch/(pi*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
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