Rotational Frequency of Workpiece given Roughness Formula

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Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second. Check FAQs
nw=0.18Ltm(rERa)0.5
nw - Rotational Frequency of Spindle?L - Length of Workpiece?tm - Machining Time?rE - Corner Radius of Tool?Ra - Roughness Value?

Rotational Frequency of Workpiece given Roughness Example

With values
With units
Only example

Here is how the Rotational Frequency of Workpiece given Roughness equation looks like with Values.

Here is how the Rotational Frequency of Workpiece given Roughness equation looks like with Units.

Here is how the Rotational Frequency of Workpiece given Roughness equation looks like.

10Edit=0.18400Edit0.74Edit(1.5Edit0.0175Edit)0.5
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Rotational Frequency of Workpiece given Roughness Solution

Follow our step by step solution on how to calculate Rotational Frequency of Workpiece given Roughness?

FIRST Step Consider the formula
nw=0.18Ltm(rERa)0.5
Next Step Substitute values of Variables
nw=0.18400mm0.74min(1.5mm0.0175mm)0.5
Next Step Convert Units
nw=0.180.4m44.4s(0.0015m1.8E-5m)0.5
Next Step Prepare to Evaluate
nw=0.180.444.4(0.00151.8E-5)0.5
Next Step Evaluate
nw=10.0000127083576Hz
LAST Step Rounding Answer
nw=10Hz

Rotational Frequency of Workpiece given Roughness Formula Elements

Variables
Rotational Frequency of Spindle
Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.
Symbol: nw
Measurement: FrequencyUnit: Hz
Note: Value should be greater than 0.
Length of Workpiece
Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.
Symbol: L
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Machining Time
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.
Symbol: tm
Measurement: TimeUnit: min
Note: Value should be greater than 0.
Corner Radius of Tool
Corner Radius of Tool is a measurement describing the curve on the corners of your labels.
Symbol: rE
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Roughness Value
Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Symbol: Ra
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Accuracy and Surface Finish category

​Go Feed to Workpiece given Machining Time
f=Ltmnw
​Go Length of Workpiece given Machining Time
L=tmfnw
​Go Rotational Frequency of Workpiece given Machining Time
nw=Ltmf
​Go Machining Time for Workpiece given Machining Conditions
tm=Lfnw

How to Evaluate Rotational Frequency of Workpiece given Roughness?

Rotational Frequency of Workpiece given Roughness evaluator uses Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*(Corner Radius of Tool*Roughness Value)^0.5) to evaluate 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 nw symbol.

How to evaluate Rotational Frequency of Workpiece given Roughness using this online evaluator? To use this online evaluator for Rotational Frequency of Workpiece given Roughness, enter Length of Workpiece (L), Machining Time (tm), Corner Radius of Tool (rE) & Roughness Value (Ra) and hit the calculate button.

FAQs on Rotational Frequency of Workpiece given Roughness

What is the formula to find Rotational Frequency of Workpiece given Roughness?
The formula of Rotational Frequency of Workpiece given Roughness is expressed as Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*(Corner Radius of Tool*Roughness Value)^0.5). Here is an example- 10.00001 = 0.18*0.4/(44.4*(0.0015*1.7531E-05)^0.5).
How to calculate Rotational Frequency of Workpiece given Roughness?
With Length of Workpiece (L), Machining Time (tm), Corner Radius of Tool (rE) & Roughness Value (Ra) we can find Rotational Frequency of Workpiece given Roughness using the formula - Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*(Corner Radius of Tool*Roughness Value)^0.5).
Can the Rotational Frequency of Workpiece given Roughness be negative?
No, the Rotational Frequency of Workpiece given Roughness, measured in Frequency cannot be negative.
Which unit is used to measure Rotational Frequency of Workpiece given Roughness?
Rotational Frequency of Workpiece given Roughness is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Rotational Frequency of Workpiece given Roughness can be measured.
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