Length of Workpiece given Roughness Calculator

✖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%
✖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_s]			+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 [R_a]			+10% -10%

✖Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.ⓘ Length of Workpiece given Roughness [L]

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Formula

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Length of Workpiece given Roughness

Formula

`"L" = "t"_{"m"}*"n"_{"s"}*(("r"_{"E"}*"R"_{"a"})^0.5)/0.18`

Example

`"0.400004m"="0.75min"*"10Hz"*(("1.5mm"*"17.067μm")^0.5)/0.18`

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Length of Workpiece given Roughness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18
L = t_m*n_s*((r_E*R_a)^0.5)/0.18
This formula uses 5 Variables

Variables Used

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.
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.
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.
Corner Radius of Tool - (Measured in Meter) - The Corner radius of tool is a measurement describing the curve on the corners of your labels.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

STEP 1: Convert Input(s) to Base Unit

Machining Time: 0.75 Minute --> 45 Second (Check conversion here)
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Corner Radius of Tool: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
Roughness Value: 17.067 Micrometer --> 1.7067E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = t_m*n_s*((r_E*R_a)^0.5)/0.18 --> 45*10*((0.0015*1.7067E-05)^0.5)/0.18

Evaluating ... ...

L = 0.400003906230927

STEP 3: Convert Result to Output's Unit

0.400003906230927 Meter --> No Conversion Required

FINAL ANSWER

0.400003906230927 ≈ 0.400004 Meter <-- Length of Workpiece

(Calculation completed in 00.004 seconds)

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

Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 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

Length of Workpiece given Roughness Formula

Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18
L = t_m*n_s*((r_E*R_a)^0.5)/0.18

Length of Cut and Overall Length

Length of Cut is the actual length the Machining Tool cuts during a single pass in a forward stroke. This is usually equal to the Length of the Workpiece. Overall length is simply the measurement between the two axial ends of the tool.
Overall Length = Length of Approach + Length of Cut + Over Travel

How to Calculate Length of Workpiece given Roughness?

Length of Workpiece given Roughness calculator uses Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18 to calculate the Length of Workpiece, The Length of Workpiece given Roughness is a method to determine the maximum length that a tool can travel during the Forward Cut in a given machining time for a definite Feed Rate for a definite Surface Roughness. Length of Workpiece is denoted by L symbol.

How to calculate Length of Workpiece given Roughness using this online calculator? To use this online calculator for Length of Workpiece given Roughness, enter Machining Time (t_m), Rotational Frequency of Spindle (n_s), Corner Radius of Tool (r_E) & Roughness Value (R_a) and hit the calculate button. Here is how the Length of Workpiece given Roughness calculation can be explained with given input values -> 0.400004 = 45*10*((0.0015*1.7067E-05)^0.5)/0.18.

FAQ

What is Length of Workpiece given Roughness?

The Length of Workpiece given Roughness is a method to determine the maximum length that a tool can travel during the Forward Cut in a given machining time for a definite Feed Rate for a definite Surface Roughness and is represented as L = t_m*n_s*((r_E*R_a)^0.5)/0.18 or Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18. 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, Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second, The Corner radius of tool is a measurement describing the curve on the corners of your labels & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Length of Workpiece given Roughness?

The Length of Workpiece given Roughness is a method to determine the maximum length that a tool can travel during the Forward Cut in a given machining time for a definite Feed Rate for a definite Surface Roughness is calculated using Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18. To calculate Length of Workpiece given Roughness, you need Machining Time (t_m), Rotational Frequency of Spindle (n_s), Corner Radius of Tool (r_E) & Roughness Value (R_a). With our tool, you need to enter the respective value for Machining Time, Rotational Frequency of Spindle, Corner Radius of Tool & Roughness Value 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 Length of Workpiece?

In this formula, Length of Workpiece uses Machining Time, Rotational Frequency of Spindle, Corner Radius of Tool & Roughness Value. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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