Outside Radius of Workpiece given Instantaneous Cutting Speed Calculator

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.ⓘ Rotational Frequency of Spindle [n_s]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖Process Time is the time for which any Process has been carried out irrespective of its completion.ⓘ Process Time [t′]			+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 Workpiece given Instantaneous Cutting Speed [r_o]

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Formula

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Outside Radius of Workpiece given Instantaneous Cutting Speed

Formula

`"r"_{"o"} = ("V"/(2*pi*"n"_{"s"}))+"n"_{"s"}*"f"*"t′" `

Example

`"1000mm"=("512709mm/min"/(2*pi*"10Hz"))+"10Hz"*"0.9mm"*"1.6min" `

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Outside Radius of Workpiece given Instantaneous Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time
r_o = (V/(2*pi*n_s))+n_s*f*t′
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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

Cutting Velocity: 512709 Millimeter per Minute --> 8.54515 Meter per Second (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

r_o = (V/(2*pi*n_s))+n_s*f*t′ --> (8.54515/(2*pi*10))+10*0.0009*96

Evaluating ... ...

r_o = 1.00000028619617

STEP 3: Convert Result to Output's Unit

1.00000028619617 Meter -->1000.00028619617 Millimeter (Check conversion here)

FINAL ANSWER

1000.00028619617 ≈ 1000 Millimeter <-- Outside Radius of the Workpiece

(Calculation completed in 00.004 seconds)

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

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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

Outside Radius of Workpiece given Instantaneous Cutting Speed Formula

Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time
r_o = (V/(2*pi*n_s))+n_s*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 Cutting Speed?

Outside Radius of Workpiece given Instantaneous Cutting Speed calculator uses Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time to calculate the Outside Radius of the Workpiece, The Outside Radius of Workpiece given Instantaneous Cutting Speed is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool, when the working Cutting Speed of Tool is known. Outside Radius of the Workpiece is denoted by r_o symbol.

How to calculate Outside Radius of Workpiece given Instantaneous Cutting Speed using this online calculator? To use this online calculator for Outside Radius of Workpiece given Instantaneous Cutting Speed, enter Cutting Velocity (V), Rotational Frequency of Spindle (n_s), Feed (f) & Process Time (t′) and hit the calculate button. Here is how the Outside Radius of Workpiece given Instantaneous Cutting Speed calculation can be explained with given input values -> 866122.1 = (8.54515/(2*pi*10))+10*0.0009*96 .

FAQ

What is Outside Radius of Workpiece given Instantaneous Cutting Speed?

The Outside Radius of Workpiece given Instantaneous Cutting Speed is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool, when the working Cutting Speed of Tool is known and is represented as r_o = (V/(2*pi*n_s))+n_s*f*t′ or Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time. The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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 Cutting Speed?

The Outside Radius of Workpiece given Instantaneous Cutting Speed is a method to determine the radius of the outermost surface of the workpiece, away from the machining tool, when the working Cutting Speed of Tool is known is calculated using Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time. To calculate Outside Radius of Workpiece given Instantaneous Cutting Speed, you need Cutting Velocity (V), Rotational Frequency of Spindle (n_s), Feed (f) & Process Time (t′). With our tool, you need to enter the respective value for Cutting Velocity, 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 Cutting Velocity, 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 = Instantaneous Radius for Cut+Rotational Frequency of Spindle*Feed*Process Time
Outside Radius of the Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio
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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