Outside Radius of Workpiece given Instantaneous Radius for Cut Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time
ro = r+ωs*f*t′
This formula uses 5 Variables
Variables Used
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.
Instantaneous Radius For Cut - (Measured in Meter) - Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.
Rotational Frequency of Spindle - (Measured in Hertz) - Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Process Time - (Measured in Second) - Process Time is the time for which any process has been carried out irrespective of its completion.
STEP 1: Convert Input(s) to Base Unit
Instantaneous Radius For Cut: 120 Millimeter --> 0.12 Meter (Check conversion ​here)
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion ​here)
Process Time: 1.6 Minute --> 96 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ro = r+ωs*f*t′ --> 0.12+10*0.0009*96
Evaluating ... ...
ro = 0.984
STEP 3: Convert Result to Output's Unit
0.984 Meter -->984 Millimeter (Check conversion ​here)
FINAL ANSWER
984 Millimeter <-- Outside Radius of The Workpiece
(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Instantaneous Radius Calculators

Instantaneous Radius for Cut given Rate of Increase of Wear-Land
​ LaTeX ​ 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)
Feed given Instantaneous Radius for Cut
​ LaTeX ​ Go Feed = (Outside Radius of The Workpiece-Instantaneous Radius For Cut)/(Rotational Frequency of Spindle*Process Time)
Instantaneous Radius for Cut
​ LaTeX ​ Go Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time
Instantaneous Radius for Cut given Cutting Speed
​ LaTeX ​ Go Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle)

Outside Radius of Workpiece given Instantaneous Radius for Cut Formula

​LaTeX ​Go
Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time
ro = r+ωs*f*t′

What causes flank wear?

Flank Wear is most commonly caused due to abrasive wear of the cutting edge against the machined surface. Flank Wear generally occurs when the speed of cutting is very high. It causes many losses but one of the most concerning is the increased roughness of the surface of the final product.

How to Calculate Outside Radius of Workpiece given Instantaneous Radius for Cut?

Outside Radius of Workpiece given Instantaneous Radius for Cut calculator uses Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time to calculate the Outside Radius of The Workpiece, The Outside Radius of Workpiece given Instantaneous Radius for Cut is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool. Outside Radius of The Workpiece is denoted by ro symbol.

How to calculate Outside Radius of Workpiece given Instantaneous Radius for Cut using this online calculator? To use this online calculator for Outside Radius of Workpiece given Instantaneous Radius for Cut, enter Instantaneous Radius For Cut (r), Rotational Frequency of Spindle s), Feed (f) & Process Time (t′) and hit the calculate button. Here is how the Outside Radius of Workpiece given Instantaneous Radius for Cut calculation can be explained with given input values -> 1E+6 = 0.12+10*0.0009*96.

FAQ

What is Outside Radius of Workpiece given Instantaneous Radius for Cut?
The Outside Radius of Workpiece given Instantaneous Radius for Cut is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool and is represented as ro = r+ωs*f*t′ or Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time. Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined, Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & Process Time is the time for which any process has been carried out irrespective of its completion.
How to calculate Outside Radius of Workpiece given Instantaneous Radius for Cut?
The Outside Radius of Workpiece given Instantaneous Radius for Cut is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool is calculated using Outside Radius of The Workpiece = Instantaneous Radius For Cut+Rotational Frequency of Spindle*Feed*Process Time. To calculate Outside Radius of Workpiece given Instantaneous Radius for Cut, you need Instantaneous Radius For Cut (r), Rotational Frequency of Spindle s), Feed (f) & Process Time (t′). With our tool, you need to enter the respective value for Instantaneous Radius For Cut, Rotational Frequency of Spindle, Feed & Process Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Outside Radius of The Workpiece?
In this formula, Outside Radius of The Workpiece uses Instantaneous Radius For Cut, Rotational Frequency of Spindle, Feed & Process Time. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Outside Radius of The Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio
  • 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
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