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Surface Roughness of Workpiece given Machining Time Formula

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Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates. Check FAQs

R a = \frac{{(0.18 \cdot \frac{L}{n w \cdot t m})}^{2}}{r E}

R_a - Roughness Value?L - Length of Workpiece?n_w - Rotational Frequency of Spindle?t_m - Machining Time?r_E - Corner Radius of Tool?

Surface Roughness of Workpiece given Machining Time Example

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Here is how the Surface Roughness of Workpiece given Machining Time equation looks like with Values.

Here is how the Surface Roughness of Workpiece given Machining Time equation looks like with Units.

Here is how the Surface Roughness of Workpiece given Machining Time equation looks like.

0.0175 = \frac{{(0.18 \cdot \frac{400}{10.01 \cdot 0.74})}^{2}}{1.497}

0.0175mm = \frac{{(0.18 \cdot \frac{400mm}{10.01Hz \cdot 0.74min})}^{2}}{1.497mm}

0.0175 = \frac{{(0.18 \cdot \frac{400}{10.01 \cdot 0.74})}^{2}}{1.497}

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Surface Roughness of Workpiece given Machining Time Solution

Follow our step by step solution on how to calculate Surface Roughness of Workpiece given Machining Time?

FIRST Step Consider the formula

R a = \frac{{(0.18 \cdot \frac{L}{n w \cdot t m})}^{2}}{r E}

Next Step Substitute values of Variables

∴

R a = \frac{{(0.18 \cdot \frac{400mm}{10.01Hz \cdot 0.74min})}^{2}}{1.497mm}

Next Step Convert Units

∴

R a = \frac{{(0.18 \cdot \frac{0.4m}{10.01Hz \cdot 44.4s})}^{2}}{0.0015m}

Next Step Prepare to Evaluate

∴

R a = \frac{{(0.18 \cdot \frac{0.4}{10.01 \cdot 44.4})}^{2}}{0.0015}

Next Step Evaluate

∴

R a = 1.75310036055244E-05m

Next Step Convert to Output's Unit

∴

R a = 0.0175310036055244mm

LAST Step Rounding Answer

∴

R a = 0.0175mm

Surface Roughness of Workpiece given Machining Time Formula Elements

Variables

Roughness Value

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

Symbol: R_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roughness Value

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.

Formulas to find Length of Workpiece

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: n_w

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of Spindle

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: t_m

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Machining Time

Corner Radius of Tool

Corner Radius of Tool is a measurement describing the curve on the corners of labels.

Symbol: r_E

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Corner Radius of Tool

Other formulas in Accuracy and Surface Finish category

Go Feed to Workpiece given Machining Time

f = \frac{L}{t m \cdot n w}

Go Length of Workpiece given Machining Time

L = t m \cdot f \cdot n w

Go Rotational Frequency of Workpiece given Machining Time

n w = \frac{L}{t m \cdot f}

Go Machining Time for Workpiece given Machining Conditions

t m = \frac{L}{f \cdot n w}

How to Evaluate Surface Roughness of Workpiece given Machining Time?

Surface Roughness of Workpiece given Machining Time evaluator uses Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool to evaluate 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 R_a symbol.

How to evaluate Surface Roughness of Workpiece given Machining Time using this online evaluator? To use this online evaluator for Surface Roughness of Workpiece given Machining Time, enter Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Corner Radius of Tool (r_E) and hit the calculate button.

FAQs on Surface Roughness of Workpiece given Machining Time

What is the formula to find Surface Roughness of Workpiece given Machining Time?

The formula of Surface Roughness of Workpiece given Machining Time is expressed as Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool. Here is an example- 17.496 = ((0.18*0.4/(10.01001*44.4))^2)/0.001497005.

How to calculate Surface Roughness of Workpiece given Machining Time?

With Length of Workpiece (L), Rotational Frequency of Spindle (n_w), Machining Time (t_m) & Corner Radius of Tool (r_E) we can find Surface Roughness of Workpiece given Machining Time using the formula - Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Corner Radius of Tool.

Can the Surface Roughness of Workpiece given Machining Time be negative?

No, the Surface Roughness of Workpiece given Machining Time, measured in Length cannot be negative.

Which unit is used to measure Surface Roughness of Workpiece given Machining Time?

Surface Roughness of Workpiece given Machining Time is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Surface Roughness of Workpiece given Machining Time can be measured.

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Surface Roughness of Workpiece given Machining Time Formula

Surface Roughness of Workpiece given Machining Time Example

Surface Roughness of Workpiece given Machining Time Solution

Surface Roughness of Workpiece given Machining Time Formula Elements

Other formulas in Accuracy and Surface Finish category

How to Evaluate Surface Roughness of Workpiece given Machining Time?

FAQs on Surface Roughness of Workpiece given Machining Time

Variable Name