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

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Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact. Check FAQs

γ m = \frac{(\frac{F f}{A c}) - τ 2}{τ 1 - τ 2}

γ_m - Proportion of Area of Metallic Contact?F_f - Force of Friction?A_c - Real Area of Contact?τ₂ - Shear Strength of Softer Lubricant Layer?τ₁ - Shear Strength of Softer Metal?

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

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Here is how the Proportion of Area in which Metallic Contact occurs given Frictional Force equation looks like with Values.

Here is how the Proportion of Area in which Metallic Contact occurs given Frictional Force equation looks like with Units.

Here is how the Proportion of Area in which Metallic Contact occurs given Frictional Force equation looks like.

0.5 = \frac{(\frac{25}{1250}) - 0.01}{0.03 - 0.01}

0.5 = \frac{(\frac{25N}{1250mm²}) - 0.01N/mm²}{0.03N/mm² - 0.01N/mm²}

0.5 = \frac{(\frac{25}{1250}) - 0.01}{0.03 - 0.01}

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

Follow our step by step solution on how to calculate Proportion of Area in which Metallic Contact occurs given Frictional Force?

FIRST Step Consider the formula

γ m = \frac{(\frac{F f}{A c}) - τ 2}{τ 1 - τ 2}

Next Step Substitute values of Variables

∴

γ m = \frac{(\frac{25N}{1250mm²}) - 0.01N/mm²}{0.03N/mm² - 0.01N/mm²}

Next Step Convert Units

∴

γ m = \frac{(\frac{25N}{0.0012m²}) - 10000Pa}{30000Pa - 10000Pa}

Next Step Prepare to Evaluate

∴

γ m = \frac{(\frac{25}{0.0012}) - 10000}{30000 - 10000}

LAST Step Evaluate

∴

γ m = 0.5

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

Variables

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.

Symbol: γ_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportion of Area of Metallic Contact

Force of Friction

Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.

Symbol: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Real Area of Contact

Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Real Area of Contact

Shear Strength of Softer Lubricant Layer

Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.

Symbol: τ₂

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Softer Lubricant Layer

Shear Strength of Softer Metal

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.

Symbol: τ₁

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Softer Metal

Other formulas in Cutting Force and Surface Roughness category

Go Cutting Force given Rate of Energy Consumption during Machining

F c = \frac{Q c}{V c}

Go Cutting Force given Specific Cutting Energy in Machining

F c = Q sc \cdot A cs

Go Force required to remove Chip and Acting on Tool Face

F r = F rc - F p

Go Resultant Cutting Force using Force required to remove Chip

F rc = F r + F p

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

Proportion of Area in which Metallic Contact occurs given Frictional Force evaluator 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 evaluate 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 evaluate Proportion of Area in which Metallic Contact occurs given Frictional Force using this online evaluator? To use this online evaluator 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.

FAQs on Proportion of Area in which Metallic Contact occurs given Frictional Force

What is the formula to find Proportion of Area in which Metallic Contact occurs given Frictional Force?

The formula of Proportion of Area in which Metallic Contact occurs given Frictional Force is expressed as 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). Here is an example- 0.5 = ((25/0.00125)-10000)/(30000-10000).

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

With Force of Friction (F_f), Real Area of Contact (A_c), Shear Strength of Softer Lubricant Layer (τ₂) & Shear Strength of Softer Metal (τ₁) we can find Proportion of Area in which Metallic Contact occurs given Frictional Force using the formula - 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).

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

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

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

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

Other formulas in Cutting Force and Surface Roughness category

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

FAQs on Proportion of Area in which Metallic Contact occurs given Frictional Force

Variable Name