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Outside Radius given Workpiece Radius Ratio Formula

GoOutside Radius of Workpiece given Instantaneous Radius for Cut Formula

GoOutside Radius of Workpiece given Instantaneous Cutting Speed Formula

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Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool. Check FAQs

r o = \frac{r i}{R w}

r_o - Outside Radius of The Workpiece?r_i - Inner Radius of Workpiece?R_w - Workpiece Radius Ratio?

Outside Radius given Workpiece Radius Ratio Example

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Here is how the Outside Radius given Workpiece Radius Ratio equation looks like with Values.

Here is how the Outside Radius given Workpiece Radius Ratio equation looks like with Units.

Here is how the Outside Radius given Workpiece Radius Ratio equation looks like.

984 = \frac{585.48}{0.595}

984mm = \frac{585.48mm}{0.595}

984 = \frac{585.48}{0.595}

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Outside Radius given Workpiece Radius Ratio Solution

Follow our step by step solution on how to calculate Outside Radius given Workpiece Radius Ratio?

FIRST Step Consider the formula

r o = \frac{r i}{R w}

Next Step Substitute values of Variables

∴

r o = \frac{585.48mm}{0.595}

Next Step Convert Units

∴

r o = \frac{0.5855m}{0.595}

Next Step Prepare to Evaluate

∴

r o = \frac{0.5855}{0.595}

Next Step Evaluate

∴

r o = 0.984m

LAST Step Convert to Output's Unit

∴

r o = 984mm

Outside Radius given Workpiece Radius Ratio Formula Elements

Variables

Outside Radius of The Workpiece

Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

Symbol: r_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outside Radius of The Workpiece

Inner Radius of Workpiece

The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece.

Symbol: r_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Radius of Workpiece

Workpiece Radius Ratio

Workpiece Radius Ratio is the ratio of the inner radius of the workpiece to its outer radius.

Symbol: R_w

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Workpiece Radius Ratio

Other Formulas to find Outside Radius of The Workpiece

Go Outside Radius of Workpiece given Instantaneous Radius for Cut

r o = r + ω s \cdot f \cdot t′

Go Outside Radius of Workpiece given Instantaneous Cutting Speed

r o = (\frac{V}{2 \cdot π \cdot ω s}) + ω s \cdot f \cdot t′

Go Outside Radius of Workpiece given Optimum Spindle Speed

r o = (\frac{V ref}{2 \cdot π \cdot ω s}) \cdot {(\frac{(1 + n) \cdot C t \cdot L ref \cdot (1 - R w)}{(1 - n) \cdot (C t \cdot t c + C t) \cdot (1 - ({R w}^{\frac{1 + n}{n}}))})}^{n}

Other formulas in Instantaneous Radius category

Go Instantaneous Radius for Cut given Cutting Speed

r = \frac{V}{2 \cdot π \cdot ω s}

Go Instantaneous Radius for Cut given Rate of Increase of Wear-Land

r = \frac{V ref \cdot {(W r \cdot \frac{L ref}{W max})}^{n}}{2 \cdot π \cdot ω s}

Go Instantaneous Radius for Cut

r = r o - ω s \cdot f \cdot t′

Go Feed given Instantaneous Radius for Cut

f = \frac{r o - r}{ω s \cdot t′}

How to Evaluate Outside Radius given Workpiece Radius Ratio?

Outside Radius given Workpiece Radius Ratio evaluator uses Outside Radius of The Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio to evaluate the Outside Radius of The Workpiece, The Outside Radius given Workpiece Radius Ratio is a method to determine the Innermost Radius of the Workpiece when the Workpiece Radius Ratio is given. Outside Radius of The Workpiece is denoted by r_o symbol.

How to evaluate Outside Radius given Workpiece Radius Ratio using this online evaluator? To use this online evaluator for Outside Radius given Workpiece Radius Ratio, enter Inner Radius of Workpiece (r_i) & Workpiece Radius Ratio (R_w) and hit the calculate button.

FAQs on Outside Radius given Workpiece Radius Ratio

What is the formula to find Outside Radius given Workpiece Radius Ratio?

The formula of Outside Radius given Workpiece Radius Ratio is expressed as Outside Radius of The Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio. Here is an example- 1E+6 = 0.58548/0.595.

How to calculate Outside Radius given Workpiece Radius Ratio?

With Inner Radius of Workpiece (r_i) & Workpiece Radius Ratio (R_w) we can find Outside Radius given Workpiece Radius Ratio using the formula - Outside Radius of The Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio.

What are the other ways to Calculate Outside Radius of The Workpiece?

Here are the different ways to Calculate Outside Radius of The Workpiece-

Outside Radius of The Workpiece=Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time
Outside Radius of The Workpiece=(Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time
Outside Radius of The Workpiece=(Reference Cutting Velocity/(2*pi*Rotational Frequency of Spindle))*(((1+Taylor's Tool Life Exponent)*Cost of A Tool*Reference Tool Life*(1-Workpiece Radius Ratio))/((1-Taylor's Tool Life Exponent)*(Cost of A Tool*Time to Change One Tool+Cost of A Tool)*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))))^Taylor's Tool Life Exponent

Can the Outside Radius given Workpiece Radius Ratio be negative?

No, the Outside Radius given Workpiece Radius Ratio, measured in Length cannot be negative.

Which unit is used to measure Outside Radius given Workpiece Radius Ratio?

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

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