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Length of Workpiece given Roughness Formula

GoLength of Workpiece given Machining Time Formula

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Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut. Check FAQs

L = t m \cdot n w \cdot \frac{{(r E \cdot R a)}^{0.5}}{0.18}

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

Length of Workpiece given Roughness Example

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

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

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

400 = 0.74 \cdot 10.01 \cdot \frac{{(1.497 \cdot 0.0175)}^{0.5}}{0.18}

400mm = 0.74min \cdot 10.01Hz \cdot \frac{{(1.497mm \cdot 0.0175mm)}^{0.5}}{0.18}

400 = 0.74 \cdot 10.01 \cdot \frac{{(1.497 \cdot 0.0175)}^{0.5}}{0.18}

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Length of Workpiece given Roughness Solution

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

FIRST Step Consider the formula

L = t m \cdot n w \cdot \frac{{(r E \cdot R a)}^{0.5}}{0.18}

Next Step Substitute values of Variables

∴

L = 0.74min \cdot 10.01Hz \cdot \frac{{(1.497mm \cdot 0.0175mm)}^{0.5}}{0.18}

Next Step Convert Units

∴

L = 44.4s \cdot 10.01Hz \cdot \frac{{(0.0015m \cdot 1.8E-5m)}^{0.5}}{0.18}

Next Step Prepare to Evaluate

∴

L = 44.4 \cdot 10.01 \cdot \frac{{(0.0015 \cdot 1.8E-5)}^{0.5}}{0.18}

Next Step Evaluate

∴

L = 0.399999958866878m

Next Step Convert to Output's Unit

∴

L = 399.999958866878mm

LAST Step Rounding Answer

∴

L = 400mm

Length of Workpiece given Roughness Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Length of Workpiece

Go Length of Workpiece given Machining Time

L = t m \cdot f \cdot n w

Other formulas in Accuracy and Surface Finish category

Go Feed to Workpiece given Machining Time

f = \frac{L}{t m \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}

Go Corner Radius of Tool given Machining Time

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

How to Evaluate Length of Workpiece given Roughness?

Length of Workpiece given Roughness evaluator uses Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18 to evaluate the Length of Workpiece, The Length of Workpiece given Roughness is a method to determine the maximum length that a tool can travel during the forward cut in a given machining time for a definite feed rate for a definite surface roughness. Length of Workpiece is denoted by L symbol.

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

FAQs on Length of Workpiece given Roughness

What is the formula to find Length of Workpiece given Roughness?

The formula of Length of Workpiece given Roughness is expressed as Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18. Here is an example- 400399.9 = 44.4*10.01001*((0.001497005*1.7531E-05)^0.5)/0.18.

How to calculate Length of Workpiece given Roughness?

With Machining Time (t_m), Rotational Frequency of Spindle (n_w), Corner Radius of Tool (r_E) & Roughness Value (R_a) we can find Length of Workpiece given Roughness using the formula - Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((Corner Radius of Tool*Roughness Value)^0.5)/0.18.

What are the other ways to Calculate Length of Workpiece?

Here are the different ways to Calculate Length of Workpiece-

Length of Workpiece=Machining Time*Feed*Rotational Frequency of Spindle

Can the Length of Workpiece given Roughness be negative?

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

Which unit is used to measure Length of Workpiece given Roughness?

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

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Length of Workpiece given Roughness Formula

​GoLength of Workpiece given Machining Time Formula

Length of Workpiece given Roughness Example

Length of Workpiece given Roughness Solution

Length of Workpiece given Roughness Formula Elements

Other Formulas to find Length of Workpiece

Other formulas in Accuracy and Surface Finish category

How to Evaluate Length of Workpiece given Roughness?

FAQs on Length of Workpiece given Roughness

Variable Name

GoLength of Workpiece given Machining Time Formula