Friction Torque on Clutch from Constant Pressure Theory given Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12
MT = pi*μ*Pp*((do^3)-(di clutch^3))/12
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Pressure between Clutch Plates: 0.650716 Newton per Square Millimeter --> 650716 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
MT = pi*μ*Pp*((do^3)-(di clutch^3))/12 --> pi*0.2*650716*((0.2^3)-(0.1^3))/12
Evaluating ... ...
MT = 238.499870603556
STEP 3: Convert Result to Output's Unit
238.499870603556 Newton Meter --> No Conversion Required
FINAL ANSWER
238.499870603556 238.4999 Newton Meter <-- Friction Torque on Clutch
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
Verifier Image
Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

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

Friction Torque on Clutch from Constant Pressure Theory given Pressure Formula

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

What is Constant Pressure Theory?

Constant pressure theory is a concept used to analyze the behavior of materials under uniform pressure conditions, often in the context of mechanical systems like clutches and brakes. It assumes that the pressure exerted across the contact surfaces remains constant during operation. This simplification allows for easier calculations of parameters like friction, torque, and wear. The theory is particularly useful in designing systems where uniform force application is critical for consistent performance and reliability.






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

Friction Torque on Clutch from Constant Pressure Theory given Pressure calculator uses Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12 to calculate the Friction Torque on Clutch, Friction Torque on Clutch from Constant Pressure Theory given Pressure formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the pressure applied on the clutch surface, and is a critical parameter in the design and operation of clutches in mechanical systems. Friction Torque on Clutch is denoted by MT symbol.

How to calculate Friction Torque on Clutch from Constant Pressure Theory given Pressure using this online calculator? To use this online calculator for Friction Torque on Clutch from Constant Pressure Theory given Pressure, enter Coefficient of Friction Clutch (μ), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch) and hit the calculate button. Here is how the Friction Torque on Clutch from Constant Pressure Theory given Pressure calculation can be explained with given input values -> 245.5678 = pi*0.2*650716*((0.2^3)-(0.1^3))/12.

FAQ

What is Friction Torque on Clutch from Constant Pressure Theory given Pressure?
Friction Torque on Clutch from Constant Pressure Theory given Pressure formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the pressure applied on the clutch surface, and is a critical parameter in the design and operation of clutches in mechanical systems and is represented as MT = pi*μ*Pp*((do^3)-(di clutch^3))/12 or Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12. 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, 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, 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 Friction Torque on Clutch from Constant Pressure Theory given Pressure?
Friction Torque on Clutch from Constant Pressure Theory given Pressure formula is defined as a measure of the rotational force that opposes the motion of the clutch, resulting from the pressure applied on the clutch surface, and is a critical parameter in the design and operation of clutches in mechanical systems is calculated using Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12. To calculate Friction Torque on Clutch from Constant Pressure Theory given Pressure, you need Coefficient of Friction Clutch (μ), Pressure between Clutch Plates (Pp), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di clutch). With our tool, you need to enter the respective value for Coefficient of Friction Clutch, 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 Friction Torque on Clutch?
In this formula, Friction Torque on Clutch uses Coefficient of Friction Clutch, Pressure between Clutch Plates, Outer Diameter of Clutch & Inner Diameter of Clutch. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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*((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)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!