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%
✖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.ⓘ Working Major Cutting Edge Angle [θ]			+10% -10%
✖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.ⓘ Working Minor Cutting Edge [θ']			+10% -10%

✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]

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Roughness Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Value = Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge)))
R = f/(4*(cot(θ)+cot(θ')))
This formula uses 1 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

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 as the cutting tool advances along the length of the work for every revolution of the spindle.
Working Major Cutting Edge Angle - (Measured in Radian) - 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.
Working Minor Cutting Edge - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Working Major Cutting Edge Angle: 45.17097 Degree --> 0.788382152819435 Radian (Check conversion here)
Working Minor Cutting Edge: 4.69 Degree --> 0.0818559419185187 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = f/(4*(cot(θ)+cot(θ'))) --> 0.0009/(4*(cot(0.788382152819435)+cot(0.0818559419185187)))

Evaluating ... ...

R = 1.70669998653583E-05

STEP 3: Convert Result to Output's Unit

1.70669998653583E-05 Meter -->0.0170669998653583 Millimeter (Check conversion here)

FINAL ANSWER

0.0170669998653583 ≈ 0.017067 Millimeter <-- Roughness Value

(Calculation completed in 00.020 seconds)

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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 Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Cutting Force and Surface Roughness Calculators

Cutting Force given Specific Cutting Energy in Machining

LaTeX Go Cutting Force = Specific Cutting Energy in Machining*Cross Sectional Area of Uncut Chip

Cutting Force given Rate of Energy Consumption during Machining

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

Resultant Cutting Force using Force required to remove Chip

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

Force required to remove Chip and Acting on Tool Face

LaTeX Go Force required to Remove Chip = Resultant Cutting Force-Plowing Force

Roughness Value Formula

LaTeX Go

Roughness Value = Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge)))
R = f/(4*(cot(θ)+cot(θ')))

what is mean roughness?

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 Roughness Value?

Roughness Value calculator uses Roughness Value = Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))) to calculate the Roughness Value, The Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates. Roughness Value is denoted by R symbol.

How to calculate Roughness Value using this online calculator? To use this online calculator for Roughness Value, enter Feed (f), Working Major Cutting Edge Angle (θ) & Working Minor Cutting Edge (θ') and hit the calculate button. Here is how the Roughness Value calculation can be explained with given input values -> 17.0593 = 0.0009/(4*(cot(0.788382152819435)+cot(0.0818559419185187))).

FAQ

What is Roughness Value?

The Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates and is represented as R = f/(4*(cot(θ)+cot(θ'))) or Roughness Value = Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))). The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle, 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 & 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.

How to calculate Roughness Value?

The Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates is calculated using Roughness Value = Feed/(4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))). To calculate Roughness Value, you need Feed (f), Working Major Cutting Edge Angle (θ) & Working Minor Cutting Edge (θ'). With our tool, you need to enter the respective value for Feed, Working Major Cutting Edge Angle & Working Minor Cutting Edge 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, Working Major Cutting Edge Angle & Working Minor Cutting Edge. 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 = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

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