Inside Radius given Workpiece Radius Ratio Calculator

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

✖The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece.ⓘ Inside Radius given Workpiece Radius Ratio [r_i]

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Formula

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Inside Radius given Workpiece Radius Ratio

Formula

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

Example

`"585.48mm"="0.595"*"984mm"`

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Inside Radius given Workpiece Radius Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Inner Radius of Workpiece - (Measured in Meter) - The Inner Radius of Workpiece is the radius of the innermost surface of the workpiece.
Workpiece Radius Ratio - Workpiece Radius Ratio is the ratio of the inner radius of the workpiece to its outer radius.
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

Workpiece Radius Ratio: 0.595 --> No Conversion Required
Outside Radius of The Workpiece: 984 Millimeter --> 0.984 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = a_r*r_o --> 0.595*0.984

Evaluating ... ...

r_i = 0.58548

STEP 3: Convert Result to Output's Unit

0.58548 Meter -->585.48 Millimeter (Check conversion here)

FINAL ANSWER

585.48 Millimeter <-- Inner Radius of Workpiece

(Calculation completed in 00.004 seconds)

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

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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

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< 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

Inside Radius given Workpiece Radius Ratio Formula

Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of The Workpiece
r_i = a_r*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 Inside Radius given Workpiece Radius Ratio?

Inside Radius given Workpiece Radius Ratio calculator uses Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of The Workpiece to calculate the Inner Radius of Workpiece, The Inside Radius given Workpiece Radius Ratio is a method to determine the Outermost Radius of the Workpiece when Workpiece Radius Ratio is given. Inner Radius of Workpiece is denoted by r_i symbol.

How to calculate Inside Radius given Workpiece Radius Ratio using this online calculator? To use this online calculator for Inside Radius given Workpiece Radius Ratio, enter Workpiece Radius Ratio (a_r) & Outside Radius of The Workpiece (r_o) and hit the calculate button. Here is how the Inside Radius given Workpiece Radius Ratio calculation can be explained with given input values -> 585480 = 0.595*0.984.

FAQ

What is Inside Radius given Workpiece Radius Ratio?

The Inside Radius given Workpiece Radius Ratio is a method to determine the Outermost Radius of the Workpiece when Workpiece Radius Ratio is given and is represented as r_i = a_r*r_o or Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of The Workpiece. Workpiece Radius Ratio is the ratio of the inner radius of the workpiece to its outer radius & Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

How to calculate Inside Radius given Workpiece Radius Ratio?

The Inside Radius given Workpiece Radius Ratio is a method to determine the Outermost Radius of the Workpiece when Workpiece Radius Ratio is given is calculated using Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of The Workpiece. To calculate Inside Radius given Workpiece Radius Ratio, you need Workpiece Radius Ratio (a_r) & Outside Radius of The Workpiece (r_o). With our tool, you need to enter the respective value for Workpiece Radius Ratio & 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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