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Area of contact given Total Frictional Force in metal cutting Formula

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Area of Contact is defined as the area which is in the contact with the surface of the tool. Check FAQs

A r = \frac{F f}{τ}

A_r - Area of Contact?F_f - Total Frictional Force By Tool?τ - Shear Strength of Material?

Area of contact given Total Frictional Force in metal cutting Example

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Here is how the Area of contact given Total Frictional Force in metal cutting equation looks like with Values.

Here is how the Area of contact given Total Frictional Force in metal cutting equation looks like with Units.

Here is how the Area of contact given Total Frictional Force in metal cutting equation looks like.

1.81 = \frac{772.69}{426.9}

1.81mm² = \frac{772.69N}{426.9N/mm²}

1.81 = \frac{772.69}{426.9}

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Area of contact given Total Frictional Force in metal cutting Solution

Follow our step by step solution on how to calculate Area of contact given Total Frictional Force in metal cutting?

FIRST Step Consider the formula

A r = \frac{F f}{τ}

Next Step Substitute values of Variables

∴

A r = \frac{772.69N}{426.9N/mm²}

Next Step Convert Units

∴

A r = \frac{772.69N}{4.3E+8Pa}

Next Step Prepare to Evaluate

∴

A r = \frac{772.69}{4.3E+8}

Next Step Evaluate

∴

A r = 1.81000234246896E-06m²

Next Step Convert to Output's Unit

∴

A r = 1.81000234246896mm²

LAST Step Rounding Answer

∴

A r = 1.81mm²

Area of contact given Total Frictional Force in metal cutting Formula Elements

Variables

Area of Contact

Area of Contact is defined as the area which is in the contact with the surface of the tool.

Symbol: A_r

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Contact

Total Frictional Force By Tool

The Total Frictional Force By Tool is the total amount of friction force generated while machining.

Symbol: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Frictional Force By Tool

Shear Strength of Material

Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.

Symbol: τ

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Material

Other formulas in Forces and Friction category

Go Rate of Energy Consumption during Machining

P m = V cut \cdot F c

Go Cutting Speed using Rate of Energy Consumption during Machining

V cut = \frac{P m}{F c}

Go Specific cutting energy in machining

p s = \frac{P m}{Z w}

Go Rate of Energy Consumption during Machining given Specific Cutting Energy

P m = p s \cdot Z w

How to Evaluate Area of contact given Total Frictional Force in metal cutting?

Area of contact given Total Frictional Force in metal cutting evaluator uses Area of Contact = Total Frictional Force By Tool/Shear Strength of Material to evaluate the Area of Contact, The Area of contact given Total Frictional force in metal cutting when two objects touch, only a certain portion of their surface areas will be in contact with each other. Area of Contact is denoted by A_r symbol.

How to evaluate Area of contact given Total Frictional Force in metal cutting using this online evaluator? To use this online evaluator for Area of contact given Total Frictional Force in metal cutting, enter Total Frictional Force By Tool (F_f) & Shear Strength of Material (τ) and hit the calculate button.

FAQs on Area of contact given Total Frictional Force in metal cutting

What is the formula to find Area of contact given Total Frictional Force in metal cutting?

The formula of Area of contact given Total Frictional Force in metal cutting is expressed as Area of Contact = Total Frictional Force By Tool/Shear Strength of Material. Here is an example- 1.8E+6 = 772.69/426900000.

How to calculate Area of contact given Total Frictional Force in metal cutting?

With Total Frictional Force By Tool (F_f) & Shear Strength of Material (τ) we can find Area of contact given Total Frictional Force in metal cutting using the formula - Area of Contact = Total Frictional Force By Tool/Shear Strength of Material.

Can the Area of contact given Total Frictional Force in metal cutting be negative?

No, the Area of contact given Total Frictional Force in metal cutting, measured in Area cannot be negative.

Which unit is used to measure Area of contact given Total Frictional Force in metal cutting?

Area of contact given Total Frictional Force in metal cutting is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of contact given Total Frictional Force in metal cutting can be measured.

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Area of contact given Total Frictional Force in metal cutting Formula

Area of contact given Total Frictional Force in metal cutting Example

Area of contact given Total Frictional Force in metal cutting Solution

Area of contact given Total Frictional Force in metal cutting Formula Elements

Other formulas in Forces and Friction category

How to Evaluate Area of contact given Total Frictional Force in metal cutting?

FAQs on Area of contact given Total Frictional Force in metal cutting

Variable Name