Workpiece Radius Ratio Calculator

✖The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece.ⓘ Inner Radius of Workpiece [r_i]			+10% -10%
✖Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.ⓘ Outside Radius of The Workpiece [r_o]			+10% -10%

✖Workpiece Radius Ratio is the ratio of the inner radius of the workpiece to its outer radius.ⓘ Workpiece Radius Ratio [a_r]

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Formula

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Workpiece Radius Ratio

Formula

`"a"_{"r"} = "r"_{"i"}/"r"_{"o"}`

Example

`"0.595"="585.48mm"/"984mm"`

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Workpiece Radius Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece
a_r = r_i/r_o
This formula uses 3 Variables

Variables Used

Workpiece Radius Ratio - Workpiece Radius Ratio is the ratio of the inner radius of the workpiece to its outer radius.
Inner Radius of Workpiece - (Measured in Meter) - The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece.
Outside Radius of The Workpiece - (Measured in Meter) - Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

STEP 1: Convert Input(s) to Base Unit

Inner Radius of Workpiece: 585.48 Millimeter --> 0.58548 Meter (Check conversion here)
Outside Radius of The Workpiece: 984 Millimeter --> 0.984 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_r = r_i/r_o --> 0.58548/0.984

Evaluating ... ...

a_r = 0.595

STEP 3: Convert Result to Output's Unit

0.595 --> No Conversion Required

FINAL ANSWER

0.595 <-- Workpiece Radius Ratio

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Facing Operation » Machine Tools and Operations » Instantaneous Radius » Workpiece Radius Ratio

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 11 Instantaneous Radius Calculators

Outside Radius of Workpiece given Optimum Spindle Speed

Go 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)

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

Go Instantaneous Radius For Cut = (Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent))/(2*pi*Rotational Frequency of Spindle)

Outside Radius of Workpiece given Instantaneous Cutting Speed

Go Outside Radius of The Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time

Rotational Frequency of Spindle given Instantaneous Radius for Cut

Go Rotational Frequency of Spindle = (Outside Radius of The Workpiece-Instantaneous Radius For Cut)/(Process Time*Feed)

Feed given Instantaneous Radius for Cut

Go Feed = (Outside Radius of The Workpiece-Instantaneous Radius For Cut)/(Rotational Frequency of Spindle*Process Time)

Outside Radius of Workpiece given Instantaneous Radius for Cut

Go Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time

Instantaneous Radius for Cut

Go Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time

Instantaneous Radius for Cut given Cutting Speed

Go Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle)

Outside Radius given Workpiece Radius Ratio

Go Outside Radius of The Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio

Inside Radius given Workpiece Radius Ratio

Go Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of The Workpiece

Workpiece Radius Ratio

Go Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece

Workpiece Radius Ratio Formula

Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece
a_r = r_i/r_o

Significance of Workpiece Radius Ratio

Workpiece Radius Ratio helps in determining the optimum conditions for machining especially during Facing Operation. It happens as the Workpiece Radius Ratio for standard dimensions has been tabulated for different Optimality Conditions during machining as required and hence can be referenced.

How to Calculate Workpiece Radius Ratio?

Workpiece Radius Ratio calculator uses Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece to calculate the Workpiece Radius Ratio, The Workpiece Radius Ratio is a term commonly used in machining operations, particularly in the context of turning processes, It refers to ratio of the inner radius of the workpiece to its outer radius.This ratio is important because it helps determine the cutting forces, surface finish, and other machining parameters. Workpiece Radius Ratio is denoted by a_r symbol.

How to calculate Workpiece Radius Ratio using this online calculator? To use this online calculator for Workpiece Radius Ratio, enter Inner Radius of Workpiece (r_i) & Outside Radius of The Workpiece (r_o) and hit the calculate button. Here is how the Workpiece Radius Ratio calculation can be explained with given input values -> 0.604675 = 0.58548/0.984.

FAQ

What is Workpiece Radius Ratio?

The Workpiece Radius Ratio is a term commonly used in machining operations, particularly in the context of turning processes, It refers to ratio of the inner radius of the workpiece to its outer radius.This ratio is important because it helps determine the cutting forces, surface finish, and other machining parameters and is represented as a_r = r_i/r_o or Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece. The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece & Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

How to calculate Workpiece Radius Ratio?

The Workpiece Radius Ratio is a term commonly used in machining operations, particularly in the context of turning processes, It refers to ratio of the inner radius of the workpiece to its outer radius.This ratio is important because it helps determine the cutting forces, surface finish, and other machining parameters is calculated using Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of The Workpiece. To calculate Workpiece Radius Ratio, you need Inner Radius of Workpiece (r_i) & Outside Radius of The Workpiece (r_o). With our tool, you need to enter the respective value for Inner Radius of Workpiece & Outside Radius of The Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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