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
Ra = ((0.18*L/(ns*tm))^2)/rE
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) - 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
Length of Workpiece: 0.4 Meter --> 0.4 Meter No Conversion Required
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Machining Time: 0.75 Minute --> 45 Second (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
Ra = ((0.18*L/(ns*tm))^2)/rE --> ((0.18*0.4/(10*45))^2)/0.0015
Evaluating ... ...
Ra = 1.70666666666667E-05
STEP 3: Convert Result to Output's Unit
1.70666666666667E-05 Meter -->17.0666666666667 Micrometer (Check conversion here)
FINAL ANSWER
17.0666666666667 17.06667 Micrometer <-- Roughness Value
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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
Ra = ((0.18*L/(ns*tm))^2)/rE

What is Roughness value?

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 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 Ra 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 (ns), Machining Time (tm) & Corner Radius of Tool (rE) and hit the calculate button. Here is how the Surface Roughness of Workpiece given Machining Time calculation can be explained with given input values -> 1.7E+7 = ((0.18*0.4/(10*45))^2)/0.0015.

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 Ra = ((0.18*L/(ns*tm))^2)/rE 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 & The Corner radius of tool is a measurement describing the curve on the corners of your 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 (ns), Machining Time (tm) & Corner Radius of Tool (rE). 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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