Roughness value of tool 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%
✖The Corner radius of tool is a measurement describing the curve on the corners of your labels.ⓘ Corner Radius of Tool [r_E]			+10% -10%

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

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Formula

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Roughness value of tool

Formula

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

Example

`"0.017334mm"=0.0321*("0.9mm")^2/"1.5mm"`

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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
R_a = 0.0321*(f)^2/r_E
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

R_a = 0.0321*(f)^2/r_E --> 0.0321*(0.0009)^2/0.0015

Evaluating ... ...

R_a = 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)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Roughness value of tool

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Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

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< 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

Roughness value of tool Formula

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

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 R_a 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 (r_E) and hit the calculate button. Here is how the Roughness value of tool calculation can be explained with given input values -> 1.7E+7 = 0.0321*(0.0009)^2/0.0015.

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 R_a = 0.0321*(f)^2/r_E 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 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 (r_E). 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 = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))
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)

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