Feed given Instantaneous Cutting Speed Calculator

✖Outer Radius of Workpiece is the distance from the center of rotation to the outermost surface of the workpiece being machined.ⓘ Outer Radius of Workpiece [R_o]			+10% -10%
✖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 speed at which the spindle of a machine tool rotates during machining operations. It is typically measured in revolutions per minute.ⓘ Rotational Frequency of Spindle [ω_s]			+10% -10%
✖Process Time refers to the duration it takes to complete a specific operation or set of operations involved in the manufacturing process.ⓘ Process Time [t]			+10% -10%

✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed given Instantaneous Cutting Speed [f]

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Feed given Instantaneous Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)
f = (R_o-(V/(2*pi*ω_s)))/(ω_s*t)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Process Time: 5.5282 Minute --> 331.692 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (R_o-(V/(2*pi*ω_s)))/(ω_s*t) --> (1-(0.133333333333333/(2*pi*10)))/(10*331.692)

Evaluating ... ...

f = 0.000300844739726043

STEP 3: Convert Result to Output's Unit

0.000300844739726043 Meter -->0.300844739726043 Millimeter (Check conversion here)

FINAL ANSWER

0.300844739726043 ≈ 0.300845 Millimeter <-- Feed

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Facing Operation » Machine Tools and Operations » Cutting Speed » Feed given Instantaneous Cutting Speed

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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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< 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

Feed given Instantaneous Cutting Speed Formula

LaTeX Go

Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)
f = (R_o-(V/(2*pi*ω_s)))/(ω_s*t)

Main Spindle Errors

Accuracy of spindle error measurement is affected by inherent error sources such as:
1. Sensor offset
2. Thermal drift of spindle
3. Centering error
4. Form error of the target surface installed in the spindle.

How to Calculate Feed given Instantaneous Cutting Speed?

Feed given Instantaneous Cutting Speed calculator uses Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time) to calculate the Feed, The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool. The feed refers to the linear distance the cutting tool travels along the workpiece surface per revolution or per unit of time. It's a crucial parameter that, along with the cutting speed (or velocity) and depth of cut, determines the material removal rate and the quality of the machined surface. Feed is denoted by f symbol.

How to calculate Feed given Instantaneous Cutting Speed using this online calculator? To use this online calculator for Feed given Instantaneous Cutting Speed, enter Outer Radius of Workpiece (R_o), Cutting Velocity (V), Rotational Frequency of Spindle (ω_s) & Process Time (t) and hit the calculate button. Here is how the Feed given Instantaneous Cutting Speed calculation can be explained with given input values -> 15785.9 = (1-(0.133333333333333/(2*pi*10)))/(10*331.692).

FAQ

What is Feed given Instantaneous Cutting Speed?

The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool. The feed refers to the linear distance the cutting tool travels along the workpiece surface per revolution or per unit of time. It's a crucial parameter that, along with the cutting speed (or velocity) and depth of cut, determines the material removal rate and the quality of the machined surface and is represented as f = (R_o-(V/(2*pi*ω_s)))/(ω_s*t) or Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). 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 & Process Time refers to the duration it takes to complete a specific operation or set of operations involved in the manufacturing process.

How to calculate Feed given Instantaneous Cutting Speed?

The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool. The feed refers to the linear distance the cutting tool travels along the workpiece surface per revolution or per unit of time. It's a crucial parameter that, along with the cutting speed (or velocity) and depth of cut, determines the material removal rate and the quality of the machined surface is calculated using Feed = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). To calculate Feed given Instantaneous Cutting Speed, you need Outer Radius of Workpiece (R_o), Cutting Velocity (V), Rotational Frequency of Spindle (ω_s) & Process Time (t). With our tool, you need to enter the respective value for Outer Radius of Workpiece, Cutting Velocity, Rotational Frequency of Spindle & Process Time 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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