## Credits

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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## Roughness value of tool 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 2 Variables
Variables Used
Feed- Feed is the rate at which a cutter moves through material.
Corner radius of tool - The Corner radius of tool is a measurement describing the curve on the corners of your labels. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Feed: 1 --> No Conversion Required
Corner radius of tool: 1 Millimeter --> 0.001 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ra = 0.0321*(F)^2/rE --> 0.0321*(1)^2/0.001
Evaluating ... ...
Ra = 32.1
STEP 3: Convert Result to Output's Unit
32.1 Meter -->32100 Millimeter (Check conversion here)
32100 Millimeter <-- Roughness Value
(Calculation completed in 00.031 seconds)

## < 10+ Cutting fluid and Surface Roughness Calculators

Proportion of Area in which metallic contact occurs given Frictional Force
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) Go
Shear Strength of Softer Lubricant layer given Frictional force
shear_strength_of_softer_lubricant_layer = ((Force of friction/Real area of contact)-(Area of metallic contact*Shear strength of softer metal))/(1-Area of metallic contact) Go
Area of contact given Frictional Force
real_area_of_contact = Force of friction/((Area of metallic contact*Shear strength of softer metal)+((1-Area of metallic contact)*Shear strength of softer lubricant layer)) Go
Shear Strength of Softer Metal given Frictional force
shear_strength_of_softer_metal = ((Force of friction/Real area of contact)-(1-Area of metallic contact)*Shear strength of softer lubricant layer)/Area of metallic contact Go
Frictional Force required to continuously shear junction between surfaces
friction_force = Real area of contact*((Area of metallic contact*Shear strength of softer metal)+((1-Area of metallic contact)*Shear strength of softer lubricant layer)) Go
Working minor cutting edge Angle given Roughness value
working_minor_cutting_angle = (acot((Feed/(4*Roughness Value))-cot(Working major cutting-edge angle))) Go
Feed given Roughness value
feed_ = 4*(cot(Working major cutting-edge angle)+cot(Working minor cutting edge))*Roughness Value Go
Working major cutting edge Angle given Roughness value
working_major_cutting_angle = (acot((Feed/(4*Roughness Value))-cot(Working minor cutting edge))) Go
Feed given Roughness Value and corner radius
feed_ = (Roughness Value*Corner radius of tool/0.0321)^(1/2) Go

### Roughness value of tool Formula

roughness_value = 0.0321*(Feed)^2/Corner radius of tool
Ra = 0.0321*(F)^2/rE

## What refers to the surface roughness of the tool?

Surface roughness is defined as the irregularities which are inherent in the production process. (e.g. cutting tool or abrasive grit). Roughness It is quantified by the deviations in the direction of the normal vector of a real surface from its ideal form.

## 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 Roughness value of tool?

Roughness value of tool calculator uses roughness_value = 0.0321*(Feed)^2/Corner radius of tool to calculate the Roughness Value, The Roughness value of tool formula is defined as the arithmetic average of the absolute values of the roughness profile ordinates. Roughness Value is denoted by Ra symbol.

How to calculate Roughness value of tool using this online calculator? To use this online calculator for Roughness value of tool, enter Feed (F) & Corner radius of tool (rE) and hit the calculate button. Here is how the Roughness value of tool calculation can be explained with given input values -> 32100 = 0.0321*(1)^2/0.001.

### FAQ

What is Roughness value of tool?
The Roughness value of tool formula is defined as 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. Feed is the rate at which a cutter moves through material & The Corner radius of tool is a measurement describing the curve on the corners of your labels.
How to calculate Roughness value of tool?
The Roughness value of tool formula is defined as 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 of tool, 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 10 other way(s) to calculate the same, which is/are as follows -
• friction_force = Real area of contact*((Area of metallic contact*Shear strength of softer metal)+((1-Area of metallic contact)*Shear strength of softer lubricant layer))
• real_area_of_contact = Force of friction/((Area of metallic contact*Shear strength of softer metal)+((1-Area of metallic contact)*Shear strength of softer lubricant layer))
• 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 = ((Force of friction/Real area of contact)-(1-Area of metallic contact)*Shear strength of softer lubricant layer)/Area of metallic contact
• shear_strength_of_softer_lubricant_layer = ((Force of friction/Real area of contact)-(Area of metallic contact*Shear strength of softer metal))/(1-Area of metallic contact)
• feed_ = 4*(cot(Working major cutting-edge angle)+cot(Working minor cutting edge))*Roughness Value
• working_major_cutting_angle = (acot((Feed/(4*Roughness Value))-cot(Working minor cutting edge)))
• working_minor_cutting_angle = (acot((Feed/(4*Roughness Value))-cot(Working major cutting-edge angle)))
• feed_ = (Roughness Value*Corner radius of tool/0.0321)^(1/2)