Corner Radius given Roughness value Calculator

✖The Feed is the distance 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_a]			+10% -10%

✖The Corner radius of tool is a measurement describing the curve on the corners of your labels.ⓘ Corner Radius given Roughness value [r_E]

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Formula

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Corner Radius given Roughness value

Formula

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

Example

`"1.523466mm"=0.0321*("0.9mm")^2/"0.017067mm"`

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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_E = 0.0321*(f)^2/R_a
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 your labels.
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.

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_E = 0.0321*(f)^2/R_a --> 0.0321*(0.0009)^2/1.7067E-05

Evaluating ... ...

r_E = 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!

< 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

Corner Radius given Roughness value Formula

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

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_E 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_a) 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_E = 0.0321*(f)^2/R_a or Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value. The Feed is the distance 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_a). 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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