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Speed calculator

Calculate speed

Calculate the optimum speed, tool diameter or cutting speed quickly and easily.

Or take a look at the formula conversion guide or download our Excel speed calculator.

What value do you want to calculate?
Cutting speed
Diameter
Drive speed

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 machining (e.g. milling) and removes a chip in the process. The cutting speed V is specified either in metres per minute [m/min] or metres 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 (n) in revolutions per minute [min-1].

You can now easily calculate the cutting speed offline with our free Excel speed calculator.

If you would like to find out more about the formula used in this calculator, you can find further information here. In addition to an explanation of the formula and how to convert it according to the individual variables, you will also find many example calculations as well as useful tips and tricks.

Calculating the cutting speed (v)

Calculation of the diameter (d) of your tool

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

Would you like to find out more about the underlying formula used in this calculator to calculate the diameter?

Here you will find all the information, as well as various sample calculations for the individual variables.

With our lean Excel speed calculator, which you can download free of charge, it is also possible to calculate speeds etc. offline.

Calculation of the diameter (d) of your tool

Calculate speed / Calculate drive speed (n)

The term speed is used synonymously with the terms drive speed and rotational frequency. The drive speed/speed (n) is specified in revolutions per minute [min-1]. The required speed is calculated from the cutting speed in metres per second [m/s] or in metres 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 grey fields to use the speed calculator. For the cutting speed, you will find a dropdown that allows you to choose between the units m/s and m/min. The formula for calculating the speed, including a sample calculation, is explained in more detail here. We also offer you an Excel speed calculator that you can download free of charge to easily calculate the speed, cutting speed or tool diameter on your PC.

Calculate speed / Calculate drive speed (n)

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

v: Peripheral speed

vc: Cutting speed

d: Diameter

r: Radius

n: Rotation frequency / drive speed / rotational speed

ω: Angular speed

π: 3,14159...

Formula Cutting speed vc:

There are several ways to calculate the cutting speed of a tool:

Either the tool diameter d, the circle number Pi π and the rotational frequency or drive speed n are used or the tool diameter or radius r and the angular speed ω.

It is important to know that the diameter d is used in metres. Depending on requirements, this must be converted to millimetres. 1 mm = 0.001 m

The circumferential speed v can be calculated in exactly the same way as vc.

Calculation of the tool diameter d:

The formula required to calculate the diameter d can be converted from the previous formulae.

This requires the rotational frequency or drive speed n, Pi π, as well as the peripheral speed v or cutting speed vc.

The circumferential speed v can be calculated in exactly the same way as vc.

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 will find an example task for easier understanding.

Sample calculation:
This example will be used to explain how the cutting speed is determined.
Sample calculation:
Note: It is essential that you pay attention to the units given for the different values. Conversion may be necessary here.
Calculation path:
For the value "0.006 m", the given 6 mm was divided by 1000 to obtain the value in metres.
Convert
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 metres per second.
Calculate diameter quickly - here's how
is to be determined:
d : ??? mm
Calculation path:
Multiply vc by 60 seconds so that the unit of cutting speed and rotational speed are the same.
Formula
To calculate the tool diameter in millimetres, the value (given in metres) is multiplied by 1000.
The following values are given:
Calculate speed - no problem
Calculate speed
Calculation path:
To ensure that the unit of cutting speed and diameter are the same, the diameter is either multiplied by a factor of 0.001 or divided by 1000 to obtain the unit of metres.
is to be determined:
To obtain the result in 1/min, the cutting speed ( m s ) must now be converted. To do this, the cutting speed is simply multiplied by 60 seconds.
The following values are given:
Speed calculator as Excel

Calculate speed quickly and easily

Our new Lukas speed calculator is also easy to download. To make it even quicker to use, we have created it for you as an Excel file. You can insert the values given to you in the appropriate rows and receive the appropriate result directly.

Regardless of whether you need the speed, tool diameter or cutting speed, the new speed Excel calculator offers a quick way to calculate the required values.

You want to become an expert? - No problem!

Become a tool specialist with Lukas webinars

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We show you what to look out for when using tools and how to apply ideal cutting speeds and rotational speeds for perfect results.

FAQ Everything about speed

Revolutions per minute (rpm) is the number of complete revolutions of a shaft or similar in a period of 60 seconds and is a unit of mechanical speed.

The formula for calculating the speed is as follows:

Further information and a calculation example can be found here.

Do you want to calculate the speed directly? Click here for our online speed calculator and here for our offline Excel speed calculator.

The rotational 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 rotational speed is the car, where the rev counter is often found as an instrument in the cockpit.

The drive/rotational speed (n) is specified in revolutions per minute [min-1]. The required speed is calculated from the cutting speed in metres per second [m/s] or in metres per minute [m/min] and the diameter of the tool d x π (3.14159...).

Further information on the formula can be found here. If you want to calculate the rotational speed, simply click here.

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

The peripheral/cutting speed (v) here is the speed at which a tool cutting edge is guided through the material to be machined in the cutting direction during material machining (z.B. when milling) and removes a chip in the process.

The peripheral/cutting speed (v) is specified either in metres per minute [m/min] or metres 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 (n) in revolutions per minute [min-1].

Want to find out more about the formula? Then click here.

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

The feed rate is calculated from the distance travelled by the tool in the feed direction relative to the workpiece per unit of time.

Here is the appropriate formula: vf = fz - Z - n (mm/min) Information on further formulae can be found here.

Click here for our speed calculator.

Vc in milling stands for the cutting 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 machining (milling) and removes a chip in the process. The cutting speed (Vc) is specified either in metres per minute [m/min] or metres 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 (n) in revolutions per minute [min-1].

You can find out the easiest way to calculate the cutting speed here.

Click here for our online cutting speed calculator and here for our offline Excel calculator.

The peripheral speed, also known as cutting speed (Vc), is the speed of the outer circular line.

The circumferential/cutting speed (Vc) is specified either in metres per minute [m/min] or metres 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 (n) in revolutions per minute [min-1].

Want to find out more about the formula? Then click here.

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

Example: car:
At the crankshaft of a car, the speed of this z.B. is measured 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.

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

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

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

Further information on these formulae and an example calculation can be found here.

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

It is important that this is not confused with the feed speed or the tool speed. Alternatively, the cutting speed can also be calculated using the angular speed.

To select the correct cutting speed, the composition and strength of the material to be machined, the toughness and hardness of the cutting material used and 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 rotational speed (also known as the drive speed, rotational frequency or orbital frequency).

You can find out how to calculate the correct cutting speed and how to apply the formula here. You can calculate the correct cutting speed directly here.

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 machining (milling), thereby removing a chip.

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

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

You can find out how to calculate the correct cutting speed and how to apply the formula here. You can calculate the correct cutting speed directly here.

Click here for our speed calculator .