Instantaneous Cutting Speed 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%
✖Instantaneous Radius for Cut is the effective radius of the cutting tool at a specific moment during the machining process.ⓘ Instantaneous Radius for Cut [r]			+10% -10%

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

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Instantaneous Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
V = 2*pi*ω_s*r
This formula uses 1 Constants, 3 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.
Instantaneous Radius for Cut - (Measured in Meter) - Instantaneous Radius for Cut is the effective radius of the cutting tool at a specific moment during the machining process.

STEP 1: Convert Input(s) to Base Unit

Rotational Frequency of Spindle: 600 Revolution per Minute --> 10 Hertz (Check conversion here)
Instantaneous Radius for Cut: 2.122066 Millimeter --> 0.002122066 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2*pi*ω_s*r --> 2*pi*10*0.002122066

Evaluating ... ...

V = 0.133333339120654

STEP 3: Convert Result to Output's Unit

0.133333339120654 Meter per Second -->8000.00034723921 Millimeter per Minute (Check conversion here)

FINAL ANSWER

8000.00034723921 ≈ 8000 Millimeter per Minute <-- Cutting Velocity

(Calculation completed in 00.004 seconds)

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Credits

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

Instantaneous Cutting Speed Formula

LaTeX Go

Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
V = 2*pi*ω_s*r

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?

Instantaneous Cutting Speed calculator uses Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut to calculate the Cutting Velocity, The Instantaneous Cutting Speed refers to the linear velocity of a specific point on the cutting tool's cutting edge as it engages with the workpiece material during the machining process. It represents the speed at which the cutting edge moves relative to the workpiece surface at any given moment during machining. Cutting Velocity is denoted by V symbol.

How to calculate Instantaneous Cutting Speed using this online calculator? To use this online calculator for Instantaneous Cutting Speed, enter Rotational Frequency of Spindle (ω_s) & Instantaneous Radius for Cut (r) and hit the calculate button. Here is how the Instantaneous Cutting Speed calculation can be explained with given input values -> 8E+6 = 2*pi*10*0.002122066.

FAQ

What is Instantaneous Cutting Speed?

The Instantaneous Cutting Speed refers to the linear velocity of a specific point on the cutting tool's cutting edge as it engages with the workpiece material during the machining process. It represents the speed at which the cutting edge moves relative to the workpiece surface at any given moment during machining and is represented as V = 2*pi*ω_s*r or Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut. 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 & Instantaneous Radius for Cut is the effective radius of the cutting tool at a specific moment during the machining process.

How to calculate Instantaneous Cutting Speed?

The Instantaneous Cutting Speed refers to the linear velocity of a specific point on the cutting tool's cutting edge as it engages with the workpiece material during the machining process. It represents the speed at which the cutting edge moves relative to the workpiece surface at any given moment during machining is calculated using Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut. To calculate Instantaneous Cutting Speed, you need Rotational Frequency of Spindle (ω_s) & Instantaneous Radius for Cut (r). With our tool, you need to enter the respective value for Rotational Frequency of Spindle & Instantaneous Radius for Cut 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 & Instantaneous Radius for Cut. 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*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity

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