Machining Time given Maximum Wear-Land Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width
tm = VBo*T/VBm
This formula uses 4 Variables
Variables Used
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.
Increase in Wear Land Width per Component - (Measured in Meter) - Increase in Wear Land Width per Component is the increase in the width of the region where wear occurs in a tool.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Maximum Wear Land Width - (Measured in Meter) - Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.
STEP 1: Convert Input(s) to Base Unit
Increase in Wear Land Width per Component: 0.2 Millimeter --> 0.0002 Meter (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Maximum Wear Land Width: 0.32 Millimeter --> 0.00032 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tm = VBo*T/VBm --> 0.0002*4500/0.00032
Evaluating ... ...
tm = 2812.5
STEP 3: Convert Result to Output's Unit
2812.5 Second -->46.875 Minute (Check conversion here)
FINAL ANSWER
46.875 Minute <-- Machining Time
(Calculation completed in 00.020 seconds)

Credits

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

Machining Time given Maximum Wear-Land Width Formula

Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width
tm = VBo*T/VBm

Cutting Speed in Facing Operation

In a Facing Operation, a constant spindle speed results in a variable cutting speed which varies linearly with the radius of the cut. The cutting speed is maximum at the periphery of the workpiece and minimum at the end of the operation.

How to Calculate Machining Time given Maximum Wear-Land Width?

Machining Time given Maximum Wear-Land Width calculator uses Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width to calculate the Machining Time, The Machining Time given Maximum Wear-Land Width is a method to determine the time that should be given for machining such that the maximum limit of wear land is not exceeded. Machining Time is denoted by tm symbol.

How to calculate Machining Time given Maximum Wear-Land Width using this online calculator? To use this online calculator for Machining Time given Maximum Wear-Land Width, enter Increase in Wear Land Width per Component (VBo), Tool Life (T) & Maximum Wear Land Width (VBm) and hit the calculate button. Here is how the Machining Time given Maximum Wear-Land Width calculation can be explained with given input values -> 0.78125 = 0.0002*4500/0.00032.

FAQ

What is Machining Time given Maximum Wear-Land Width?
The Machining Time given Maximum Wear-Land Width is a method to determine the time that should be given for machining such that the maximum limit of wear land is not exceeded and is represented as tm = VBo*T/VBm or Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width. Increase in Wear Land Width per Component is the increase in the width of the region where wear occurs in a tool, Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations & Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.
How to calculate Machining Time given Maximum Wear-Land Width?
The Machining Time given Maximum Wear-Land Width is a method to determine the time that should be given for machining such that the maximum limit of wear land is not exceeded is calculated using Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width. To calculate Machining Time given Maximum Wear-Land Width, you need Increase in Wear Land Width per Component (VBo), Tool Life (T) & Maximum Wear Land Width (VBm). With our tool, you need to enter the respective value for Increase in Wear Land Width per Component, Tool Life & Maximum Wear Land Width 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 Machining Time?
In this formula, Machining Time uses Increase in Wear Land Width per Component, Tool Life & Maximum Wear Land Width. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Machining Time = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Feed)
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