Instantaneous Cutting Speed given Feed Calculator

✖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%
✖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 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 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 Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Instantaneous Cutting Speed given Feed [V]

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Formula

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Instantaneous Cutting Speed given Feed

Formula

V = 2 \cdot π \cdot ω s \cdot (R o - ω s \cdot f \cdot t)

Example

8000 mm/min = 2 \cdot π \cdot 600 rev/min \cdot (1000 mm - 600 rev/min \cdot 0.3008447397 mm \cdot 5.5282 min)

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Instantaneous Cutting Speed given Feed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 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

Rotational Frequency of Spindle: 600 Revolution per Minute --> 10 Hertz (Check conversion here)
Outer Radius of Workpiece: 1000 Millimeter --> 1 Meter (Check conversion here)
Feed: 0.3008447397 Millimeter --> 0.0003008447397 Meter (Check conversion here)
Process Time: 5.5282 Minute --> 331.692 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2*pi*ω_s*(R_o-ω_s*f*t) --> 2*pi*10*(1-10*0.0003008447397*331.692)

Evaluating ... ...

V = 0.133333338760997

STEP 3: Convert Result to Output's Unit

0.133333338760997 Meter per Second -->8000.00032565983 Millimeter per Minute (Check conversion here)

FINAL ANSWER

8000.00032565983 ≈ 8000 Millimeter per Minute <-- Cutting Velocity

(Calculation completed in 00.004 seconds)

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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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< Cutting Speed Calculators

Time for Facing given Instantaneous Cutting Speed

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

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

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

Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Instantaneous Cutting Speed given Feed Formula

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

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 Instantaneous Cutting Speed given Feed?

Instantaneous Cutting Speed given Feed calculator uses Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time) to calculate the Cutting Velocity, The Instantaneous Cutting Speed given Feed is a critical parameter in metal machining as it directly influences various aspects of the machining process, including material removal rates, tool wear rates, cutting forces, and surface finish quality. Machinists adjust cutting speeds based on factors such as the material being machined, tool material and geometry, cutting parameters, and desired machining outcomes to achieve optimal performance and efficiency. Cutting Velocity is denoted by V symbol.

How to calculate Instantaneous Cutting Speed given Feed using this online calculator? To use this online calculator for Instantaneous Cutting Speed given Feed, enter Rotational Frequency of Spindle (ω_s), Outer Radius of Workpiece (R_o), Feed (f) & Process Time (t) and hit the calculate button. Here is how the Instantaneous Cutting Speed given Feed calculation can be explained with given input values -> 3.7E+9 = 2*pi*10*(1-10*0.0003008447397*331.692).

FAQ

What is Instantaneous Cutting Speed given Feed?

The Instantaneous Cutting Speed given Feed is a critical parameter in metal machining as it directly influences various aspects of the machining process, including material removal rates, tool wear rates, cutting forces, and surface finish quality. Machinists adjust cutting speeds based on factors such as the material being machined, tool material and geometry, cutting parameters, and desired machining outcomes to achieve optimal performance and efficiency and is represented as V = 2*pi*ω_s*(R_o-ω_s*f*t) or Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time). 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, Outer Radius of Workpiece is the distance from the center of rotation to the outermost surface of the workpiece being machined, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & 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 Instantaneous Cutting Speed given Feed?

The Instantaneous Cutting Speed given Feed is a critical parameter in metal machining as it directly influences various aspects of the machining process, including material removal rates, tool wear rates, cutting forces, and surface finish quality. Machinists adjust cutting speeds based on factors such as the material being machined, tool material and geometry, cutting parameters, and desired machining outcomes to achieve optimal performance and efficiency is calculated using Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time). To calculate Instantaneous Cutting Speed given Feed, you need Rotational Frequency of Spindle (ω_s), Outer Radius of Workpiece (R_o), Feed (f) & Process Time (t). With our tool, you need to enter the respective value for Rotational Frequency of Spindle, Outer Radius of Workpiece, 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 Cutting Velocity?

In this formula, Cutting Velocity uses Rotational Frequency of Spindle, Outer Radius of Workpiece, Feed & Process Time. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity

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