Inner Radius of Workpiece given Machining Time for Facing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time
ri = ro-ns*f*tm
This formula uses 5 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.
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.
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
STEP 1: Convert Input(s) to Base Unit
Outside Radius of the Workpiece: 1000 Millimeter --> 1 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)
Machining Time: 0.75 Minute --> 45 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = ro-ns*f*tm --> 1-10*0.0009*45
Evaluating ... ...
ri = 0.595
STEP 3: Convert Result to Output's Unit
0.595 Meter -->595 Millimeter (Check conversion here)
FINAL ANSWER
595 Millimeter <-- Inner Radius of Workpiece
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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19 Facing Operation Calculators

Optimum Spindle Speed
Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece))*((((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)
Machining and Operating Rate given Optimum Spindle Speed
Go Machining and Operating Rate = (Cost of a Tool/(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Reference Tool Life))))-Time to Change One Tool)
Cost of 1 Tool given Optimum Spindle Speed
Go Cost of a Tool = (Machining and Operating Rate*(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Maximum Tool Life))))-Time to Change One Tool)
Optimum Spindle Speed given Tool Changing Cost
Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece))*((((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 changing each 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)
Tool Changing Time given Optimum Spindle Speed
Go Time to Change One Tool = Reference Tool Life/((Rotational Frequency of Spindle*2*pi*Outer Radius of Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio)))-Cost of a Tool/Machining and Operating Rate
Tool Changing Cost given Optimum Spindle Speed
Go Cost of changing each Tool = (Cost of a Tool*Maximum Tool Life/(((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio))))-Cost of a Tool
Machining Time given Rate of Increase of Wear-Land Width
Go Machining Time = Tool Life/(Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component)
Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation
Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Maximum Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))
Time for Facing given Instantaneous Cutting Speed
Go Process Time = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
Feed given Instantaneous Cutting Speed
Go Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)
Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation
Go Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life
Feed of Workpiece given Machining Time for Facing
Go Feed = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Machining Time)
Total Machining Time for single Facing Operation
Go Machining Time = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Feed)
Feed given Instantaneous Radius for Cut
Go Feed = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Process Time)
Time for Facing
Go Process Time = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Feed)
Inner Radius of Workpiece given Machining Time for Facing
Go Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time
Machining Time given Maximum Wear-Land Width
Go Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width
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

Inner Radius of Workpiece given Machining Time for Facing Formula

Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time
ri = ro-ns*f*tm

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 Inner Radius of Workpiece given Machining Time for Facing?

Inner Radius of Workpiece given Machining Time for Facing calculator uses Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time to calculate the Inner Radius of Workpiece, The Inner Radius of Workpiece given Machining Time for Facing is defined as the maximum inner radius of the workpiece that can be machined at a given spindle speed when the Facing Operation has to be finished in a specified time. Inner Radius of Workpiece is denoted by ri symbol.

How to calculate Inner Radius of Workpiece given Machining Time for Facing using this online calculator? To use this online calculator for Inner Radius of Workpiece given Machining Time for Facing, enter Outside Radius of the Workpiece (ro), Rotational Frequency of Spindle (ns), Feed (f) & Machining Time (tm) and hit the calculate button. Here is how the Inner Radius of Workpiece given Machining Time for Facing calculation can be explained with given input values -> 595000 = 1-10*0.0009*45.

FAQ

What is Inner Radius of Workpiece given Machining Time for Facing?
The Inner Radius of Workpiece given Machining Time for Facing is defined as the maximum inner radius of the workpiece that can be machined at a given spindle speed when the Facing Operation has to be finished in a specified time and is represented as ri = ro-ns*f*tm or Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining 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 & Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
How to calculate Inner Radius of Workpiece given Machining Time for Facing?
The Inner Radius of Workpiece given Machining Time for Facing is defined as the maximum inner radius of the workpiece that can be machined at a given spindle speed when the Facing Operation has to be finished in a specified time is calculated using Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time. To calculate Inner Radius of Workpiece given Machining Time for Facing, you need Outside Radius of the Workpiece (ro), Rotational Frequency of Spindle (ns), Feed (f) & Machining Time (tm). With our tool, you need to enter the respective value for Outside Radius of the Workpiece, Rotational Frequency of Spindle, Feed & Machining 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 Inner Radius of Workpiece?
In this formula, Inner Radius of Workpiece uses Outside Radius of the Workpiece, Rotational Frequency of Spindle, Feed & Machining Time. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of the Workpiece
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