What is the speed

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Calculating the cutting speed (v)

The cutting speed (v) is the speed at which a tool cutting edge is guided through the material to be machined in the cutting direction during material processing (e.g. milling) and thereby removes a chip. The cutting speed V is specified either in the unit meters per minute [m / min] or meters per second [m / s]. The cutting speed depends on the diameter of the tool used d x π (3.14159…) and the speed of the drive machine (s) in revolutions per minute [min-1].

With our free Excel speed calculator, you can now easily calculate the cutting speed offline.

If you want to find out more about the formula that is used in this calculator, you will find further information here. In addition to the formula explanation and the conversion of this according to the individual variables, you will also find many sample calculations as well as useful tips and tricks.


Calculation of the diameter (d) of your tool

The tool diameter (d) is a decisive factor for calculating cutting speed and rotational speed. Based on the available drive and the speed of the drive machine, it is possible to calculate back which tool diameters can be used.

Would you like to learn more about the underlying formula that is used in this calculator to calculate the diameter?
Here you will find all information as well as various sample calculations for the individual variables.

With our slim Excel speed calculator you free download it is also possible to calculate speeds etc. offline.



Calculate speed / calculate drive speed (s)

The term speed is used synonymously with the terms drive speed and rotational frequency. The drive / speed (n) is given in revolutions per minute [min-1]. The required speed is determined from the cutting speed in meters per second [m / s] or in meters per minute [m / min] and the diameter of the tool d x π (3.14159…).

You can find more information on calculating the speed and the speed formula here.

Simply enter the values ​​for cutting speed and tool diameter in the gray fields to use the speed calculator. For the cutting speed you will find a dropdown with which you can choose between the units m / s and m / min. The formula for speed calculation including an example calculation can be found here explained in more detail. We also offer you an Excel speed calculator that you can use free download in order to be able to easily calculate the rotational speed, cutting speed or tool diameter on the PC.

Calculation of cutting speed, diameter and drive speed - the formulas simply explained

v: peripheral speed
vc: Cutting speed
d: diameter
r: radius
n: frequency of rotation / drive speed / speed
ω: angular velocity
π: 3.14159 ...

formula Cutting speed vc:

There are several options for simply calculating the cutting speed of a tool:
Either the tool diameter d, the circle number Pi π and the rotational frequency or drive speed n or the tool diameter or radius r and the angular velocity ω are used.

It is important to know that the diameter d is used in the unit meter. Depending on requirements, this must still be converted into millimeters.
1 mm = 0.001 m

The circumferential speed v can be exactly like vc to calculate.

Calculation of the Tool diameter d:

The formula that is required to calculate the diameter d can be changed from the previous formulas.

For this, the rotational frequency or drive speed n is required, Pi π, as well as the peripheral speed v or cutting speed vc.

The circumferential speed v can be exactly like vc to calculate.

Calculate the Speed ​​n:

To calculate the drive speed, you need the cutting speed vc, the diameter d and the circle number Pi π.
Here you can find an example exercise to make it easier to understand.

Example calculation:

This example is intended to explain how the Cutting speed is determined.

the following value is searched for:

the following values ​​are given:

Calculation way:

For the value “0.006 m”, the given 6 mm were divided by 1000 to get the value in the unit meter.

The value 60 used is the number of seconds in a minute, by which the value 2.26 is divided in order to obtain the cutting speed in meters per second.

Note!
Be sure to pay attention to the given units of the different values. It may be necessary to convert here.


diameter calculate quickly - this is how it works
should be determined:
d: ??? mm

the following values ​​are given:

Calculation way:

So that the unit of the cutting speed and the speed are the same, vc multiplied by 60 seconds.

So that the tool diameter can be calculated in millimeters, the value (given in meters) is multiplied by 1000.


Calculate speed - no problem

should be determined:

the following values ​​are given:

Calculation way:

So that the unit of the cutting speed and the diameter are the same, the diameter is either multiplied by the factor 0.001 or divided by 1000 to obtain the unit meter.

To get the result in, the cutting speed () must now be converted. To do this, the cutting speed is simply multiplied by 60 seconds.

Speed ​​calculator as Excel - calculate speed easily and quickly

Our new Lukas speed calculator can also be easily downloaded. So that it can be used even faster, we have created it for you as an Excel file. You can insert the values ​​given to you in the appropriate lines and you will immediately receive the appropriate result.

Regardless of whether it's speed, tool diameter or cutting speed, the new speed Excel calculator offers a quick way of calculating the required values.

FAQ - everything about speed

What does revolutions per minute stand for?

revolutions per minute or in Englishrpm(revolutions per minute) indicates the number of complete revolutions of a shaft or the like in a period of 60 seconds and is a unit of the mechanics for the speed.

The formula for calculating the speed is:

Further information and a sample calculation are available here.

Do you want to calculate the speed directly? This will take you to our online speed calculator and here to our offline Excel speed calculator.

What is speed?

The speed (also drive speed, rotational frequency or rotational frequency) indicates the number of preferably mechanical rotational movements of a rotating body in a certain time.

A frequent point of contact with the speed is the car, here the rev counter is often found as an instrument in the cockpit.
The drive / speed (n) is given in revolutions per minute [min-1]. The required speed is determined from the cutting speed in meters per second [m / s] or in meters per minute [m / min] and the diameter of the tool d x π (3.14159…).

You can find more information about the formula here.
If you want to calculate the speed, just click here.

How do you calculate the peripheral speed?

The peripheral speed or cutting speed (Vc) is calculated using the following formula:


The circumferential / cutting speed (v) is the speed at which a tool cutting edge is guided through the material to be machined in the cutting direction during material processing (e.g. during milling) and thereby removes a chip.

The circumferential / cutting speed (v) is specified either in the unit meters per minute [m / min] or meters per second [m / s].
The cutting speed depends on the diameter of the tool used d x π (3.14159…) and the speed of the drive machine (s) in revolutions per minute [min-1].

Would you like to find out more about the formula? Then click here.

How do you calculate the feed rate when milling?

The feed rate is specified in millimeters per minute (mm / min) and is the speed at which the tool is pushed through or over the workpiece (e.g. a hand milling machine). The feed rate has a major influence on the surface of the workpiece.

The size of the feed rate is calculated from the path that the tool covers in the feed direction relative to the workpiece per unit of time.

Here is the appropriate formula:
vf = fz • Z • n (mm / min)

You can find information on other formulas here.
You can find our speed calculator here.

Vcbeim milling stands for theCutting speed
The cutting speed can be specified both in m / min and in m / s.

The cutting speed (Vc) is the speed at which a tool cutting edge is guided through the material to be machined in the cutting direction during material processing (e.g. milling) and thereby removes a chip. The cutting speed (Vc) is specified either in meters per minute [m / min] or meters per second [m / s]. The cutting speed depends on the diameter of the tool used d x π (3.14159…) and the speed of the drive machine (s) in revolutions per minute [min-1].

The easiest way to calculate the cutting speed can be found here.

You can access our online cutting speed calculator here and our offline Excel calculator here.

What is the peripheral speed?

The circumferential speed is synonymous with cutting speed (Vc) and indicates the speed of the outer circular line.

The peripheral speed can be calculated using the following formula:

The circumferential / cutting speed (Vc) is specified either in meters per minute [m / min] or meters per second [m / s].
The cutting speed depends on the diameter of the tool used d x π (3.14159…) and the speed of the drive machine (s) in revolutions per minute [min-1].

Would you like to find out more about the formula? Then click here.

How can you measure the speed?

The speed of a rotating object is a main component in the frequency spectrum of the mechanical vibrations or acoustic noises generated on the machine.
With the help of microphones, strain gauges, acceleration sensors or similar instruments, the speed can be determined by measurement.

Example car:
On the crankshaft of a car, the speed is measured by this e.g. via an inductive sensor and displayed in the car's cockpit.

You can easily find out how the speed is calculated here or calculate it directly here.

How do you calculate the speed when milling?

The speed for milling (n) is calculated from the cutting speed in mm / min (Vc), the milling cutter diameter (d) and the number of circles (pi).

The formula for calculating the speed for milling is:

Further information on the formula and a calculation example can be found here.
You can find our speed calculator here.

How do you calculate the cutting speed?

The cutting speed (Vc) is the speed at which the cutting edge of the tool lifts the chip off the workpiece. It should not be confused with the feed rate or the tool speed.

The formula for calculating the cutting speed is:

Alternatively, the cutting speed can also be calculated using the angular speed:

Further information on these formulas and a calculation example can be found here.

What cutting speed when milling?

The cutting speed (Vc) is the speed of the moving cutting edges and is calculated from the speed of the milling machine (n) and the diameter of the milling cutter (d).

The cutting speed in the unit m / s can be calculated using the following formula:

Here is a suitable calculation example:
It is important that this is not confused with the feed rate or the tool speed.

Alternatively, the cutting speed can also be calculated using the angular speed. The formula for this is:

Which factors influence the cutting speed?

To choose the right cutting speed, the composition and strength of the material to be machined, the toughness and hardness of the cutting material used, as well as the desired dimensional accuracy and surface quality must be taken into account.

On a purely mathematical level, the cutting speed is influenced by the tool diameter (d) and the speed (also called drive speed, rotational frequency or rotational frequency).

Here is the appropriate formula:

You can find out here how the correct cutting speed can be calculated and how the formula is used.
You can directly calculate the correct cutting speed here.

Difference between speed and cutting speed?

The cutting speed, which is specified in m / min or m / s, is the speed at which a tool cutting edge is guided through the material to be machined in the cutting direction during material processing (e.g. milling), thereby removing a chip.

The speed (n), on the other hand, is given in revolutions per minute [min-1]. It indicates the number of preferably mechanical rotary movements of a rotating body in a certain time.

The speed is determined from the cutting speed in meters per second [m / s] or in meters per minute [m / min] and the diameter of the tool d x π (3.14159…).

You can find out here how the correct cutting speed can be calculated and how the formula is used.
You can directly calculate the correct cutting speed here.

You can find our speed calculator here.

Speed ​​calculator glossary: