Surface Roughness of Workpiece given Machining Time Calculator

✖Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.ⓘ Length of Workpiece [L]			+10% -10%
✖Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second.ⓘ Rotational Frequency of Spindle [n_w]			+10% -10%
✖Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.ⓘ Machining Time [t_m]			+10% -10%
✖Corner Radius of Tool is a measurement describing the curve on the corners of labels.ⓘ Corner Radius of Tool [r_E]			+10% -10%

✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Surface Roughness of Workpiece given Machining Time [R_a]

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Formula

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Surface Roughness of Workpiece given Machining Time

Formula

`"R"_{"a"} = ((0.18*"L"/("n"_{"w"}*"t"_{"m"}))^2)/"r"_{"E"}`

Example

`"0.017531mm"=((0.18*"400mm"/("10.01001Hz"*"0.74min"))^2)/"1.497005mm"`

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Surface Roughness of Workpiece given Machining Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool
R_a = ((0.18*L/(n_w*t_m))^2)/r_E
This formula uses 5 Variables

Variables Used

Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Length of Workpiece - (Measured in Meter) - Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.
Rotational Frequency of Spindle - (Measured in Hertz) - Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second.
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
Corner Radius of Tool - (Measured in Meter) - Corner Radius of Tool is a measurement describing the curve on the corners of labels.

STEP 1: Convert Input(s) to Base Unit

Length of Workpiece: 400 Millimeter --> 0.4 Meter (Check conversion here)
Rotational Frequency of Spindle: 10.01001 Hertz --> 10.01001 Hertz No Conversion Required
Machining Time: 0.74 Minute --> 44.4 Second (Check conversion here)
Corner Radius of Tool: 1.497005 Millimeter --> 0.001497005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = ((0.18*L/(n_w*t_m))^2)/r_E --> ((0.18*0.4/(10.01001*44.4))^2)/0.001497005

Evaluating ... ...

R_a = 1.75310036055244E-05

STEP 3: Convert Result to Output's Unit

1.75310036055244E-05 Meter -->0.0175310036055244 Millimeter (Check conversion here)

FINAL ANSWER

0.0175310036055244 ≈ 0.017531 Millimeter <-- Roughness Value

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Accuracy and Surface Finish » Surface Roughness of Workpiece given Machining Time

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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National Institute of Technology (NIT), Srinagar

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< 9 Accuracy and Surface Finish Calculators

Rotational Frequency of Workpiece given Roughness

Go Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*((Corner Radius of Tool*Roughness Value)^0.5))

Machining Time for Workpiece given Roughness

Go Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5))

Surface Roughness of Workpiece given Machining Time

Go Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool

Corner Radius of Tool given Machining Time

Go Corner Radius of Tool = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Roughness Value

Length of Workpiece given Roughness

Go Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18

Machining Time for Workpiece given Machining Conditions

Go Machining Time = Length of Workpiece/(Feed*Rotational Frequency of Spindle)

Rotational Frequency of Workpiece given Machining Time

Go Rotational Frequency of Spindle = Length of Workpiece/(Machining Time*Feed)

Feed to Workpiece given Machining Time

Go Feed = Length of Workpiece/(Machining Time*Rotational Frequency of Spindle)

Length of Workpiece given Machining Time

Go Length of Workpiece = Machining Time*Feed*Rotational Frequency of Spindle

Surface Roughness of Workpiece given Machining Time Formula

Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool
R_a = ((0.18*L/(n_w*t_m))^2)/r_E

What is Roughness value?

The Mean Roughness (Roughness Average R_a) 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 Surface Roughness of Workpiece given Machining Time?

Surface Roughness of Workpiece given Machining Time calculator uses Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool to calculate the Roughness Value, The Surface Roughness of Workpiece given Machining Time is a method to determine the arithmetic average of the absolute values of the roughness profile ordinates in terms of machining time for the workpiece. Roughness Value is denoted by R_a symbol.

How to calculate Surface Roughness of Workpiece given Machining Time using this online calculator? To use this online calculator for Surface Roughness of Workpiece given Machining Time, enter Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Corner Radius of Tool (r_E) and hit the calculate button. Here is how the Surface Roughness of Workpiece given Machining Time calculation can be explained with given input values -> 17.496 = ((0.18*0.4/(10.01001*44.4))^2)/0.001497005.

FAQ

What is Surface Roughness of Workpiece given Machining Time?

The Surface Roughness of Workpiece given Machining Time is a method to determine the arithmetic average of the absolute values of the roughness profile ordinates in terms of machining time for the workpiece and is represented as R_a = ((0.18*L/(n_w*t_m))^2)/r_E or Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool. Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut, Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second, Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material & Corner Radius of Tool is a measurement describing the curve on the corners of labels.

How to calculate Surface Roughness of Workpiece given Machining Time?

The Surface Roughness of Workpiece given Machining Time is a method to determine the arithmetic average of the absolute values of the roughness profile ordinates in terms of machining time for the workpiece is calculated using Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool. To calculate Surface Roughness of Workpiece given Machining Time, you need Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Corner Radius of Tool (r_E). With our tool, you need to enter the respective value for Length of Workpiece, Rotational Frequency of Spindle, Machining Time & 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.

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