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

STEP 0: Pre-Calculation Summary
Formula Used
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))
Pa = MT*(3*(do^2-di clutch^2))/(μ*(do^3-di clutch^3))
This formula uses 5 Variables
Variables Used
Axial Force for Clutch - (Measured in Newton) - Axial Force for Clutch is the force exerted on the clutch plate to engage or disengage the engine from the transmission in a constant pressure system.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238.5 Newton Meter --> 238.5 Newton Meter 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)
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = MT*(3*(do^2-di clutch^2))/(μ*(do^3-di clutch^3)) --> 238.5*(3*(0.2^2-0.1^2))/(0.2*(0.2^3-0.1^3))
Evaluating ... ...
Pa = 15332.1428571429
STEP 3: Convert Result to Output's Unit
15332.1428571429 Newton --> No Conversion Required
FINAL ANSWER
15332.1428571429 15332.14 Newton <-- Axial Force for Clutch
(Calculation completed in 00.005 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

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

​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))
Pa = MT*(3*(do^2-di clutch^2))/(μ*(do^3-di clutch^3))

What is a Clutch?

A clutch is a mechanical device that connects and disconnects power from the engine to the transmission in vehicles. It allows for smooth engagement of gears and controls the transfer of power. The clutch is crucial for starting, stopping, and changing gears without stalling the engine. It's commonly used in manual transmission systems. Its function is to provide control over power transmission.

How to Calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter calculator uses 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)) to calculate the Axial Force for Clutch, Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter formula is defined as a measure of the force exerted on the clutch due to the frictional torque and diameter of the clutch, providing a crucial parameter in the design and analysis of clutches in mechanical systems. Axial Force for Clutch is denoted by Pa symbol.

How to calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter using this online calculator? To use this online calculator for Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter, enter Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di clutch) & Coefficient of Friction Clutch (μ) and hit the calculate button. Here is how the Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter calculation can be explained with given input values -> 15332.14 = 238.5*(3*(0.2^2-0.1^2))/(0.2*(0.2^3-0.1^3)).

FAQ

What is Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?
Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter formula is defined as a measure of the force exerted on the clutch due to the frictional torque and diameter of the clutch, providing a crucial parameter in the design and analysis of clutches in mechanical systems and is represented as Pa = MT*(3*(do^2-di clutch^2))/(μ*(do^3-di clutch^3)) or 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)). 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, 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 & 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.
How to calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?
Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter formula is defined as a measure of the force exerted on the clutch due to the frictional torque and diameter of the clutch, providing a crucial parameter in the design and analysis of clutches in mechanical systems is calculated using 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)). To calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter, you need Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di clutch) & Coefficient of Friction Clutch (μ). With our tool, you need to enter the respective value for Friction Torque on Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Coefficient of Friction 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 Friction Torque on Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Coefficient of Friction Clutch. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
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