Proportion of Area in which Metallic Contact occurs given Frictional Force Calculator

✖Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_f]			+10% -10%
✖Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.ⓘ Real Area of Contact [A_c]			+10% -10%
✖Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.ⓘ Shear Strength of Softer Lubricant Layer [τ₂]			+10% -10%
✖Shear Strength of Softer Metal refers to the maximum stress that the metal can withstand when subjected to a shear force before it starts to deform or fail.ⓘ Shear Strength of Softer Metal [τ₁]			+10% -10%

✖Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact.ⓘ Proportion of Area in which Metallic Contact occurs given Frictional Force [γ_m]

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Proportion of Area in which Metallic Contact occurs given Frictional Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)
γ_m = ((F_f/A_c)-τ₂)/(τ₁-τ₂)
This formula uses 5 Variables

Variables Used

Proportion of Area of Metallic Contact - Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact.
Force of Friction - (Measured in Newton) - Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Real Area of Contact - (Measured in Square Meter) - Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.
Shear Strength of Softer Lubricant Layer - (Measured in Pascal) - Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.
Shear Strength of Softer Metal - (Measured in Pascal) - Shear Strength of Softer Metal refers to the maximum stress that the metal can withstand when subjected to a shear force before it starts to deform or fail.

STEP 1: Convert Input(s) to Base Unit

Force of Friction: 25 Newton --> 25 Newton No Conversion Required
Real Area of Contact: 1250 Square Millimeter --> 0.00125 Square Meter (Check conversion here)
Shear Strength of Softer Lubricant Layer: 0.01 Newton per Square Millimeter --> 10000 Pascal (Check conversion here)
Shear Strength of Softer Metal: 0.03 Newton per Square Millimeter --> 30000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_m = ((F_f/A_c)-τ₂)/(τ₁-τ₂) --> ((25/0.00125)-10000)/(30000-10000)

Evaluating ... ...

γ_m = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Proportion of Area of Metallic Contact

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Proportion of Area in which Metallic Contact occurs given Frictional Force Formula

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What are the examples of Sliding Friction?

Everyday Examples of Sliding Friction:
Rubbing both hands together to create heat.
A sled sliding across snow or ice.
Skis sliding against the snow.
A person sliding down a slide is an example of sliding friction.
A coaster sliding against a table.

How to Calculate Proportion of Area in which Metallic Contact occurs given Frictional Force?

Proportion of Area in which Metallic Contact occurs given Frictional Force calculator uses Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer) to calculate the Proportion of Area of Metallic Contact, Proportion of Area in which Metallic Contact occurs given Frictional Force formula can be used to find the proportion of the area supporting the load in which metal came in contact. Proportion of Area of Metallic Contact is denoted by γ_m symbol.

How to calculate Proportion of Area in which Metallic Contact occurs given Frictional Force using this online calculator? To use this online calculator for Proportion of Area in which Metallic Contact occurs given Frictional Force, enter Force of Friction (F_f), Real Area of Contact (A_c), Shear Strength of Softer Lubricant Layer (τ₂) & Shear Strength of Softer Metal (τ₁) and hit the calculate button. Here is how the Proportion of Area in which Metallic Contact occurs given Frictional Force calculation can be explained with given input values -> 0.5 = ((25/0.00125)-10000)/(30000-10000).

FAQ

What is Proportion of Area in which Metallic Contact occurs given Frictional Force?

Proportion of Area in which Metallic Contact occurs given Frictional Force formula can be used to find the proportion of the area supporting the load in which metal came in contact and is represented as γ_m = ((F_f/A_c)-τ₂)/(τ₁-τ₂) or Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer). Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Real Area of Contact is defined as the actual or real area that is in actual contact with the other part, Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation & Shear Strength of Softer Metal refers to the maximum stress that the metal can withstand when subjected to a shear force before it starts to deform or fail.

How to calculate Proportion of Area in which Metallic Contact occurs given Frictional Force?

Proportion of Area in which Metallic Contact occurs given Frictional Force formula can be used to find the proportion of the area supporting the load in which metal came in contact is calculated using Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer). To calculate Proportion of Area in which Metallic Contact occurs given Frictional Force, you need Force of Friction (F_f), Real Area of Contact (A_c), Shear Strength of Softer Lubricant Layer (τ₂) & Shear Strength of Softer Metal (τ₁). With our tool, you need to enter the respective value for Force of Friction, Real Area of Contact, Shear Strength of Softer Lubricant Layer & Shear Strength of Softer Metal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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