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Total frictional force in metal cutting Formula

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

F f = τ \cdot A r

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

Total frictional force in metal cutting Example

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Here is how the Total frictional force in metal cutting equation looks like with Values.

Here is how the Total frictional force in metal cutting equation looks like with Units.

Here is how the Total frictional force in metal cutting equation looks like.

772.689 = 426.9 \cdot 1.81

772.689N = 426.9N/mm² \cdot 1.81mm²

772.689 = 426.9 \cdot 1.81

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Total frictional force in metal cutting Solution

Follow our step by step solution on how to calculate Total frictional force in metal cutting?

FIRST Step Consider the formula

F f = τ \cdot A r

Next Step Substitute values of Variables

∴

F f = 426.9N/mm² \cdot 1.81mm²

Next Step Convert Units

∴

F f = 4.3E+8Pa \cdot 1.8E-6m²

Next Step Prepare to Evaluate

∴

F f = 4.3E+8 \cdot 1.8E-6

LAST Step Evaluate

∴

F f = 772.689N

Total frictional force in metal cutting Formula Elements

Variables

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

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

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 Total frictional force in metal cutting?

Total frictional force in metal cutting evaluator uses Total Frictional Force By Tool = Shear Strength of Material*Area of Contact to evaluate the Total Frictional Force By Tool, The Total frictional force in metal cutting formula is defined as the force exerted by the tool as an object moves across it or makes an effort to move across it. Total Frictional Force By Tool is denoted by F_f symbol.

How to evaluate Total frictional force in metal cutting using this online evaluator? To use this online evaluator for Total frictional force in metal cutting, enter Shear Strength of Material (τ) & Area of Contact (A_r) and hit the calculate button.

FAQs on Total frictional force in metal cutting

What is the formula to find Total frictional force in metal cutting?

The formula of Total frictional force in metal cutting is expressed as Total Frictional Force By Tool = Shear Strength of Material*Area of Contact. Here is an example- 772.689 = 426900000*1.81E-06.

How to calculate Total frictional force in metal cutting?

With Shear Strength of Material (τ) & Area of Contact (A_r) we can find Total frictional force in metal cutting using the formula - Total Frictional Force By Tool = Shear Strength of Material*Area of Contact.

Can the Total frictional force in metal cutting be negative?

No, the Total frictional force in metal cutting, measured in Force cannot be negative.

Which unit is used to measure Total frictional force in metal cutting?

Total frictional force in metal cutting is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total frictional force in metal cutting can be measured.

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Total frictional force in metal cutting Formula

Total frictional force in metal cutting Example

Total frictional force in metal cutting Solution

Total frictional force in metal cutting Formula Elements

Other formulas in Forces and Friction category

How to Evaluate Total frictional force in metal cutting?

FAQs on Total frictional force in metal cutting

Variable Name