Corner Radius given Roughness value Calculator

✖The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]			+10% -10%

✖The Corner Radius of Tool is a measurement describing the curve on the corners of labels.ⓘ Corner Radius given Roughness value [r_c]

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Formula

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Corner Radius given Roughness value

Formula

r c = 0.0321 \cdot \frac{{(f)}^{2}}{R}

Example

1.523466 mm = 0.0321 \cdot \frac{{(0.9 mm)}^{2}}{0.017067 mm}

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Corner Radius given Roughness value Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Corner Radius of Tool - (Measured in Meter) - The Corner Radius of Tool is a measurement describing the curve on the corners of labels.
Feed - (Measured in Meter) - The Feed is the distance as 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.

STEP 1: Convert Input(s) to Base Unit

Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = 0.0321*(f)^2/R --> 0.0321*(0.0009)^2/1.7067E-05

Evaluating ... ...

r_c = 0.00152346633854807

STEP 3: Convert Result to Output's Unit

0.00152346633854807 Meter -->1.52346633854807 Millimeter (Check conversion here)

FINAL ANSWER

1.52346633854807 ≈ 1.523466 Millimeter <-- Corner Radius of Tool

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Corner Radius given Roughness value

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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!

< Cutting Force and Surface Roughness Calculators

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

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Corner Radius given Roughness value Formula

Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value
r_c = 0.0321*(f)^2/R

what is Roughness value?

The Mean Roughness (Roughness Average Ra) is the arithmetic average of the absolute values of the roughness profile ordinates. Ra is one of the most effective surface roughness measures commonly adopted in general engineering practice. It gives a good general description of the height variations in the surface.

How to Calculate Corner Radius given Roughness value?

Corner Radius given Roughness value calculator uses Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value to calculate the Corner Radius of Tool, The Corner Radius given Roughness value is a measurement describing the curve on the corners of your tool. Corner Radius of Tool is denoted by r_c symbol.

How to calculate Corner Radius given Roughness value using this online calculator? To use this online calculator for Corner Radius given Roughness value, enter Feed (f) & Roughness Value (R) and hit the calculate button. Here is how the Corner Radius given Roughness value calculation can be explained with given input values -> 1523.466 = 0.0321*(0.0009)^2/1.7067E-05.

FAQ

What is Corner Radius given Roughness value?

The Corner Radius given Roughness value is a measurement describing the curve on the corners of your tool and is represented as r_c = 0.0321*(f)^2/R or Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value. The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Corner Radius given Roughness value?

The Corner Radius given Roughness value is a measurement describing the curve on the corners of your tool is calculated using Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value. To calculate Corner Radius given Roughness value, you need Feed (f) & Roughness Value (R). With our tool, you need to enter the respective value for Feed & Roughness Value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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