Roughness value given corner radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Ra = 0.0321*(f)^2/rE
This formula uses 3 Variables
Variables Used
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
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.
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
Feed: 0.9 Millimeter --> 0.0009 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
Ra = 0.0321*(f)^2/rE --> 0.0321*(0.0009)^2/0.0015
Evaluating ... ...
Ra = 1.7334E-05
STEP 3: Convert Result to Output's Unit
1.7334E-05 Meter -->0.017334 Millimeter (Check conversion here)
FINAL ANSWER
0.017334 Millimeter <-- Roughness Value
(Calculation completed in 00.004 seconds)

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!

17 Cutting Fluid 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)
Feed given Roughness Value and corner radius
Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
Corner Radius given Roughness value
Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value
Roughness value given corner radius
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Roughness value of tool
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Roughness value given corner radius Formula

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

How does the corner radius of the tool influence the surface roughness?

The larger corner radius of the main cutting edge leads to the increase of tool life, to the decrease of cutting forces and to the decrease of surface roughness indices.

How to Calculate Roughness value given corner radius?

Roughness value given corner radius calculator uses Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool to calculate the Roughness Value, The Roughness value given corner radius is the arithmetic average of the absolute values of the roughness profile ordinates. Roughness Value is denoted by Ra symbol.

How to calculate Roughness value given corner radius using this online calculator? To use this online calculator for Roughness value given corner radius, enter Feed (f) & Corner Radius of Tool (rE) and hit the calculate button. Here is how the Roughness value given corner radius calculation can be explained with given input values -> 17.334 = 0.0321*(0.0009)^2/0.0015.

FAQ

What is Roughness value given corner radius?
The Roughness value given corner radius is the arithmetic average of the absolute values of the roughness profile ordinates and is represented as Ra = 0.0321*(f)^2/rE or Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool. The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & The Corner radius of tool is a measurement describing the curve on the corners of your labels.
How to calculate Roughness value given corner radius?
The Roughness value given corner radius is the arithmetic average of the absolute values of the roughness profile ordinates is calculated using Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool. To calculate Roughness value given corner radius, you need Feed (f) & Corner Radius of Tool (rE). With our tool, you need to enter the respective value for Feed & 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 Roughness Value?
In this formula, Roughness Value uses Feed & Corner Radius of Tool. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
  • Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))
  • Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
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