Time for Facing given Instantaneous Cutting Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
t = (Ro-(V/(2*pi*ωs)))/(ωs*f)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Process Time - (Measured in Second) - Process Time refers to the duration it takes to complete a specific operation or set of operations involved in the manufacturing process.
Outer Radius of Workpiece - (Measured in Meter) - Outer Radius of Workpiece is the distance from the center of rotation to the outermost surface of the workpiece being machined.
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 speed at which the spindle of a machine tool rotates during machining operations. It is typically measured in revolutions per minute.
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.
STEP 1: Convert Input(s) to Base Unit
Outer Radius of Workpiece: 1000 Millimeter --> 1 Meter (Check conversion ​here)
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion ​here)
Rotational Frequency of Spindle: 600 Revolution per Minute --> 10 Hertz (Check conversion ​here)
Feed: 0.3008447397 Millimeter --> 0.0003008447397 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (Ro-(V/(2*pi*ωs)))/(ωs*f) --> (1-(0.133333333333333/(2*pi*10)))/(10*0.0003008447397)
Evaluating ... ...
t = 331.692000028714
STEP 3: Convert Result to Output's Unit
331.692000028714 Second -->5.52820000047856 Minute (Check conversion ​here)
FINAL ANSWER
5.52820000047856 5.5282 Minute <-- Process Time
(Calculation completed in 00.004 seconds)

Credits

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

Time for Facing given Instantaneous Cutting Speed
​ LaTeX ​ Go Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
Reference Cutting Velocity given Rate of Increase of Wear-Land Width
​ LaTeX ​ Go Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Cutting Velocity given Rate of Increase of Wear-Land Width
​ LaTeX ​ Go Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
Instantaneous Cutting Speed
​ LaTeX ​ Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Time for Facing given Instantaneous Cutting Speed Formula

​LaTeX ​Go
Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
t = (Ro-(V/(2*pi*ωs)))/(ωs*f)

The Facing Operation

Facing on a milling machine is the process of cutting a flat surface perpendicular to the axes of the milling cutter. This process removes the material by rotating the facing tool in the counterclockwise direction as the table feeds the workpiece across the cutter. Face milling can be achieved with an end mill but is often done with a face mill, shell mill, or fly cutter.

How to Calculate Time for Facing given Instantaneous Cutting Speed?

Time for Facing given Instantaneous Cutting Speed calculator uses Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed) to calculate the Process Time, Time for Facing given Instantaneous Cutting Speed refers to the duration required to complete a facing operation, where a cutting tool removes material from the surface of a workpiece to create a flat, smooth surface. This time is influenced by various factors, including the instantaneous cutting speed, workpiece dimensions, feed rate, depth of cut, and machine setup. Process Time is denoted by t symbol.

How to calculate Time for Facing given Instantaneous Cutting Speed using this online calculator? To use this online calculator for Time for Facing given Instantaneous Cutting Speed, enter Outer Radius of Workpiece (Ro), Cutting Velocity (V), Rotational Frequency of Spindle s) & Feed (f) and hit the calculate button. Here is how the Time for Facing given Instantaneous Cutting Speed calculation can be explained with given input values -> 4.834587 = (1-(0.133333333333333/(2*pi*10)))/(10*0.0003008447397).

FAQ

What is Time for Facing given Instantaneous Cutting Speed?
Time for Facing given Instantaneous Cutting Speed refers to the duration required to complete a facing operation, where a cutting tool removes material from the surface of a workpiece to create a flat, smooth surface. This time is influenced by various factors, including the instantaneous cutting speed, workpiece dimensions, feed rate, depth of cut, and machine setup and is represented as t = (Ro-(V/(2*pi*ωs)))/(ωs*f) or Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed). Outer Radius of Workpiece is the distance from the center of rotation to the outermost surface of the workpiece being machined, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Rotational Frequency of Spindle is the speed at which the spindle of a machine tool rotates during machining operations. It is typically measured in revolutions per minute & The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
How to calculate Time for Facing given Instantaneous Cutting Speed?
Time for Facing given Instantaneous Cutting Speed refers to the duration required to complete a facing operation, where a cutting tool removes material from the surface of a workpiece to create a flat, smooth surface. This time is influenced by various factors, including the instantaneous cutting speed, workpiece dimensions, feed rate, depth of cut, and machine setup is calculated using Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed). To calculate Time for Facing given Instantaneous Cutting Speed, you need Outer Radius of Workpiece (Ro), Cutting Velocity (V), Rotational Frequency of Spindle s) & Feed (f). With our tool, you need to enter the respective value for Outer Radius of Workpiece, Cutting Velocity, Rotational Frequency of Spindle & Feed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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