Feed given Roughness Value and corner radius Calculator

✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R_a]			+10% -10%
✖The Corner radius of tool is a measurement describing the curve on the corners of your labels.ⓘ Corner Radius of Tool [r_E]			+10% -10%

✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed given Roughness Value and corner radius [f]

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Formula

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Feed given Roughness Value and corner radius

Formula

`"f" = ("R"_{"a"}*"r"_{"E"}/0.0321)^(1/2)`

Example

`"0.893042mm"=("0.017067mm"*"1.5mm"/0.0321)^(1/2)`

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Feed given Roughness Value and corner radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
f = (R_a*r_E/0.0321)^(1/2)
This formula uses 3 Variables

Variables Used

Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Corner Radius of Tool - (Measured in Meter) - The Corner radius of tool is a measurement describing the curve on the corners of your labels.

STEP 1: Convert Input(s) to Base Unit

Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)
Corner Radius of Tool: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (R_a*r_E/0.0321)^(1/2) --> (1.7067E-05*0.0015/0.0321)^(1/2)

Evaluating ... ...

f = 0.000893041636479499

STEP 3: Convert Result to Output's Unit

0.000893041636479499 Meter -->0.893041636479499 Millimeter (Check conversion here)

FINAL ANSWER

0.893041636479499 ≈ 0.893042 Millimeter <-- Feed

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Feed given Roughness Value and corner radius

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces

Go Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Shear Strength of Softer Lubricant layer given Frictional force

Go Shear Strength of Softer Lubricant Layer = ((Force of Friction/Real Area of Contact)-(Proportion of Area of Metallic Contact*Shear Strength of Softer Metal))/(1-Proportion of Area of Metallic Contact)

Area of contact given Frictional Force

Go Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Proportion of Area in which metallic contact occurs given Frictional Force

Go 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)

Shear Strength of Softer Metal given Frictional force

Go Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact

Working major cutting edge Angle given Roughness value

Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))

Working minor cutting edge Angle given Roughness value

Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))

Roughness Value

Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))

Feed given Roughness value

Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value

Rotational Frequency of Cutter given Roughness Value

Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed

Feed speed given Roughness value

Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter

Diameter of Cutter given Roughness Value

Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)

Roughness value given feed speed

Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)

Cutting Force given Specific Cutting Energy in Machining

Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip

Cutting Force given Rate of Energy Consumption during Machining

Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed

Resultant Cutting Force using Force required to remove Chip

Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force

Force required to remove Chip and acting on Tool Face

Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force

Feed given Roughness Value and corner radius

Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)

Roughness value given corner radius

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Corner Radius given Roughness value

Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value

Roughness value of tool

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Feed given Roughness Value and corner radius Formula

Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
f = (R_a*r_E/0.0321)^(1/2)

How does feed rate affect surface finish?

The study reveals that the surface roughness is directly influenced by the spindle speed and feed rate. It is observed that the surface roughness increases with increased feed rate and is higher at lower speeds and vice versa for all feed rates.

How to Calculate Feed given Roughness Value and corner radius?

Feed given Roughness Value and corner radius calculator uses Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2) to calculate the Feed, The Feed given Roughness Value and corner radius 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 calculate Feed given Roughness Value and corner radius using this online calculator? To use this online calculator for Feed given Roughness Value and corner radius, enter Roughness Value (R_a) & Corner Radius of Tool (r_E) and hit the calculate button. Here is how the Feed given Roughness Value and corner radius calculation can be explained with given input values -> 893.0416 = (1.7067E-05*0.0015/0.0321)^(1/2).

FAQ

What is Feed given Roughness Value and corner radius?

The Feed given Roughness Value and corner radius formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle and is represented as f = (R_a*r_E/0.0321)^(1/2) or Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2). Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates & The Corner radius of tool is a measurement describing the curve on the corners of your labels.

How to calculate Feed given Roughness Value and corner radius?

The Feed given Roughness Value and corner radius formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle is calculated using Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2). To calculate Feed given Roughness Value and corner radius, you need Roughness Value (R_a) & Corner Radius of Tool (r_E). With our tool, you need to enter the respective value for Roughness Value & Corner Radius of Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Feed?

In this formula, Feed uses Roughness Value & Corner Radius of Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -

Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value

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