Corner Radius of Tool 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%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R_a]			+10% -10%

✖Corner Radius of Tool is a measurement describing the curve on the corners of labels.ⓘ Corner Radius of Tool given Machining Time [r_E]

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Formula

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Corner Radius of Tool given Machining Time

Formula

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

Example

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

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Corner Radius of Tool given Machining Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Corner Radius of Tool - (Measured in Meter) - Corner Radius of Tool is a measurement describing the curve on the corners of labels.
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.
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

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)
Roughness Value: 0.017531 Millimeter --> 1.7531E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_E = ((0.18*L/(n_w*t_m))^2)/R_a --> ((0.18*0.4/(10.01001*44.4))^2)/1.7531E-05

Evaluating ... ...

r_E = 0.00149700530788249

STEP 3: Convert Result to Output's Unit

0.00149700530788249 Meter -->1.49700530788249 Millimeter (Check conversion here)

FINAL ANSWER

1.49700530788249 ≈ 1.497005 Millimeter <-- Corner Radius of Tool

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Accuracy and Surface Finish » Corner Radius of Tool 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

Corner Radius of Tool given Machining Time Formula

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

How does the corner radius of the tool influence the surface roughness?

The larger corner radius of the main cutting edge leads to the increase of tool life, to the decrease of cutting forces, and to the decrease of surface roughness indices.

How to Calculate Corner Radius of Tool given Machining Time?

Corner Radius of Tool given Machining Time calculator uses Corner Radius of Tool = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Roughness Value to calculate the Corner Radius of Tool, The Corner Radius of Tool given Machining Time is a method to determine the measurement describing the curve on the corners of the Cutting Edge of the tool when Machining Time for the tool on a single component is known. Corner Radius of Tool is denoted by r_E symbol.

How to calculate Corner Radius of Tool given Machining Time using this online calculator? To use this online calculator for Corner Radius of Tool given Machining Time, enter Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Roughness Value (R_a) and hit the calculate button. Here is how the Corner Radius of Tool given Machining Time calculation can be explained with given input values -> 1497.005 = ((0.18*0.4/(10.01001*44.4))^2)/1.7531E-05.

FAQ

What is Corner Radius of Tool given Machining Time?

The Corner Radius of Tool given Machining Time is a method to determine the measurement describing the curve on the corners of the Cutting Edge of the tool when Machining Time for the tool on a single component is known and is represented as r_E = ((0.18*L/(n_w*t_m))^2)/R_a or Corner Radius of Tool = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Roughness Value. 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 & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Corner Radius of Tool given Machining Time?

The Corner Radius of Tool given Machining Time is a method to determine the measurement describing the curve on the corners of the Cutting Edge of the tool when Machining Time for the tool on a single component is known is calculated using Corner Radius of Tool = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Roughness Value. To calculate Corner Radius of Tool given Machining Time, you need Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Roughness Value (R_a). With our tool, you need to enter the respective value for Length of Workpiece, Rotational Frequency of Spindle, Machining Time & Roughness Value 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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