Instantaneous Radius for Cut Calculator

✖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%
✖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%

✖Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.ⓘ Instantaneous Radius for Cut [r]

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Formula

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Instantaneous Radius for Cut

Formula

`"r" = "r"_{"o"}-"n"_{"s"}*"f"*"t′"`

Example

`"120mm"="984mm"-"10Hz"*"0.9mm"*"1.6min"`

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Instantaneous Radius for Cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time
r = r_o-n_s*f*t′
This formula uses 5 Variables

Variables Used

Instantaneous Radius For Cut - (Measured in Meter) - Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.
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.
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

Outside Radius of The Workpiece: 984 Millimeter --> 0.984 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

r = r_o-n_s*f*t′ --> 0.984-10*0.0009*96

Evaluating ... ...

r = 0.12

STEP 3: Convert Result to Output's Unit

0.12 Meter -->120 Millimeter (Check conversion here)

FINAL ANSWER

120 Millimeter <-- Instantaneous Radius For Cut

(Calculation completed in 00.004 seconds)

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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

Instantaneous Radius for Cut Formula

Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time
r = r_o-n_s*f*t′

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Instantaneous Radius for Cut?

Instantaneous Radius for Cut calculator uses Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time to calculate the Instantaneous Radius For Cut, The Instantaneous Radius for Cut is defined as the maximum radius of the workpiece that can be machined on a given spindle speed. Instantaneous Radius For Cut is denoted by r symbol.

How to calculate Instantaneous Radius for Cut using this online calculator? To use this online calculator for Instantaneous Radius for Cut, enter Outside Radius of The Workpiece (r_o), Rotational Frequency of Spindle (n_s), Feed (f) & Process Time (t′) and hit the calculate button. Here is how the Instantaneous Radius for Cut calculation can be explained with given input values -> 120000 = 0.984-10*0.0009*96.

FAQ

What is Instantaneous Radius for Cut?

The Instantaneous Radius for Cut is defined as the maximum radius of the workpiece that can be machined on a given spindle speed and is represented as r = r_o-n_s*f*t′ or Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time. Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool, 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 Instantaneous Radius for Cut?

The Instantaneous Radius for Cut is defined as the maximum radius of the workpiece that can be machined on a given spindle speed is calculated using Instantaneous Radius For Cut = Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time. To calculate Instantaneous Radius for Cut, you need Outside Radius of The Workpiece (r_o), Rotational Frequency of Spindle (n_s), Feed (f) & Process Time (t′). With our tool, you need to enter the respective value for Outside Radius of The Workpiece, 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 Instantaneous Radius For Cut?

In this formula, Instantaneous Radius For Cut uses Outside Radius of The Workpiece, Rotational Frequency of Spindle, Feed & Process Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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