Rotational Frequency of Workpiece given Roughness 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%
✖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 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%

✖Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.ⓘ Rotational Frequency of Workpiece given Roughness [n_w]

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Formula

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Rotational Frequency of Workpiece given Roughness

Formula

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

Example

`"10.00001Hz"=0.18*"400mm"/("0.74min"*(("1.5mm"*"0.017531mm")^0.5))`

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Rotational Frequency of Workpiece given Roughness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Corner Radius of Tool - (Measured in Meter) - 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

Length of Workpiece: 400 Millimeter --> 0.4 Meter (Check conversion here)
Machining Time: 0.74 Minute --> 44.4 Second (Check conversion here)
Corner Radius of Tool: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
Roughness Value: 0.017531 Millimeter --> 1.7531E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_w = 0.18*L/(t_m*((r_E*R_a)^0.5)) --> 0.18*0.4/(44.4*((0.0015*1.7531E-05)^0.5))

Evaluating ... ...

n_w = 10.0000127083576

STEP 3: Convert Result to Output's Unit

10.0000127083576 Hertz --> No Conversion Required

FINAL ANSWER

10.0000127083576 ≈ 10.00001 Hertz <-- Rotational Frequency of Spindle

(Calculation completed in 00.020 seconds)

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

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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

Rotational Frequency of Workpiece given Roughness Formula

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

How is Roughness measured?

With a contact-type roughness meter, surface roughness is measured by tracing the probe across the surface of the target. In contrast, a laser-based non-contact roughness meter emits a laser beam onto the target and detects the reflected light to measure the roughness.

How to Calculate Rotational Frequency of Workpiece given Roughness?

Rotational Frequency of Workpiece given Roughness calculator uses Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*((Corner Radius of Tool*Roughness Value)^0.5)) to calculate the Rotational Frequency of Spindle, The Rotational Frequency of Workpiece given Roughness is a method to determine the required frequency of rotation of the Spindle of a Machining Tool when the required value for Surface Roughness is known. Rotational Frequency of Spindle is denoted by n_w symbol.

How to calculate Rotational Frequency of Workpiece given Roughness using this online calculator? To use this online calculator for Rotational Frequency of Workpiece given Roughness, enter Length of Workpiece (L), Machining Time (t_m), Corner Radius of Tool (r_E) & Roughness Value (R_a) and hit the calculate button. Here is how the Rotational Frequency of Workpiece given Roughness calculation can be explained with given input values -> 9.998302 = 0.18*0.4/(44.4*((0.0015*1.7531E-05)^0.5)).

FAQ

What is Rotational Frequency of Workpiece given Roughness?

The Rotational Frequency of Workpiece given Roughness is a method to determine the required frequency of rotation of the Spindle of a Machining Tool when the required value for Surface Roughness is known and is represented as n_w = 0.18*L/(t_m*((r_E*R_a)^0.5)) or Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*((Corner Radius of Tool*Roughness Value)^0.5)). Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut, 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 your labels & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Rotational Frequency of Workpiece given Roughness?

The Rotational Frequency of Workpiece given Roughness is a method to determine the required frequency of rotation of the Spindle of a Machining Tool when the required value for Surface Roughness is known is calculated using Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*((Corner Radius of Tool*Roughness Value)^0.5)). To calculate Rotational Frequency of Workpiece given Roughness, you need Length of Workpiece (L), Machining Time (t_m), Corner Radius of Tool (r_E) & Roughness Value (R_a). With our tool, you need to enter the respective value for Length of Workpiece, Machining Time, 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 Rotational Frequency of Spindle?

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

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

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