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The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle. Check FAQs
f=4⋅(cot(θ)+cot(θ'))⋅R
f - Feed?θ - Working Major Cutting Edge Angle?θ' - Working Minor Cutting Edge?R - Roughness Value?

Feed given Roughness value Example

With values
With units
Only example

Here is how the Feed given Roughness value equation looks like with Values.

Here is how the Feed given Roughness value equation looks like with Units.

Here is how the Feed given Roughness value equation looks like.

0.9Edit=4⋅(cot(45.171Edit)+cot(4.69Edit))⋅0.0171Edit
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Feed given Roughness value Solution

Follow our step by step solution on how to calculate Feed given Roughness value?

FIRST Step Consider the formula
f=4⋅(cot(θ)+cot(θ'))⋅R
Next Step Substitute values of Variables
∴ f=4⋅(cot(45.171°)+cot(4.69°))⋅0.0171mm
Next Step Convert Units
∴ f=4⋅(cot(0.7884rad)+cot(0.0819rad))⋅1.7E-5m
Next Step Prepare to Evaluate
∴ f=4⋅(cot(0.7884)+cot(0.0819))⋅1.7E-5
Next Step Evaluate
∴f=0.000900000007100108m
Next Step Convert to Output's Unit
∴f=0.900000007100108mm
LAST Step Rounding Answer
∴f=0.9mm

Feed given Roughness value Formula Elements

Variables
Functions
Feed
The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.
Symbol: f
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find FeedOpen Variable
Working Major Cutting Edge Angle
The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Working Major Cutting Edge AngleOpen Variable
Working Minor Cutting Edge
The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.
Symbol: θ'
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Working Minor Cutting EdgeOpen Variable
Roughness Value
Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Roughness ValueOpen Variable
cot
Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Syntax: cot(Angle)

Other Formulas to find Feed

​Go Feed given Roughness Value and corner radius
f=(R⋅rc0.0321)12

Other formulas in Cutting Force and Surface Roughness category

​Go Cutting Force given Rate of Energy Consumption during Machining
Fc=QcVc
​Go Cutting Force given Specific Cutting Energy in Machining
Fc=Qsc⋅Acs
​Go Force required to remove Chip and Acting on Tool Face
Fr=Frc-Fp
​Go Resultant Cutting Force using Force required to remove Chip
Frc=Fr+Fp

How to Evaluate Feed given Roughness value?

Feed given Roughness value evaluator uses Feed = 4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value to evaluate the Feed, The Feed given Roughness value formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle. Feed is denoted by f symbol.

How to evaluate Feed given Roughness value using this online evaluator? To use this online evaluator for Feed given Roughness value, enter Working Major Cutting Edge Angle (θ), Working Minor Cutting Edge (θ') & Roughness Value (R) and hit the calculate button.

FAQs on Feed given Roughness value

What is the formula to find Feed given Roughness value?
The formula of Feed given Roughness value is expressed as Feed = 4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value. Here is an example- 900.4062 = 4*(cot(0.788382152819435)+cot(0.0818559419185187))*1.7067E-05.
How to calculate Feed given Roughness value?
With Working Major Cutting Edge Angle (θ), Working Minor Cutting Edge (θ') & Roughness Value (R) we can find Feed given Roughness value using the formula - Feed = 4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value. This formula also uses Cotangent (cot) function(s).
What are the other ways to Calculate Feed?
Here are the different ways to Calculate Feed-
  • Feed=(Roughness Value*Corner Radius of Tool/0.0321)^(1/2)OpenImg
Can the Feed given Roughness value be negative?
No, the Feed given Roughness value, measured in Length cannot be negative.
Which unit is used to measure Feed given Roughness value?
Feed given Roughness value is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Feed given Roughness value can be measured.
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