Physics

Speeds and Feeds Calculator

Find spindle RPM and feed rate for machining.

Cutting speed (m/min)

Tool diameter

Number of flutes

Feed per tooth

Calculated Output

Spindle speed (rpm) 3,183.1

Feed rate (mm/min) 636.62

Formula: rpm = 1000·CS ÷ (π·D); feed = rpm·z·f_z

Step-by-Step Breakdown

1. Values used:

2. Cutting speed = 100 m/min

3. Tool diameter = 10

4. Number of flutes = 4

5. Feed per tooth = 0.05

7. Spindle speed = 3,183.1rpm

8. Feed rate = 636.62mm/min

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The math behind it

rpm = 1000·cutting speed ÷ (π·diameter); feed rate = rpm × flutes × feed per tooth.

100 m/min, 10 mm, 4 flutes, 0.05 mm/tooth → ~3183 rpm, ~637 mm/min.

Why does diameter matter?

Surface speed depends on diameter, so smaller tools must spin faster.