Rotational Speed and Angular Velocity Converter

Convert rotational frequency and angular speed using one revolution = 2π radians = 360 degrees. For cyclic rotation, 1 Hz equals 1 revolution per second and 60 rpm; the tool changes units only and does not calculate pulley ratios, gear ratios, cutting speed, motor load, or equipment limits. Calculate it clearly with Figur.

How the rotational speed and angular velocity converter works

Convert rotational frequency and angular speed using one revolution = 2π radians = 360 degrees. For cyclic rotation, 1 Hz equals 1 revolution per second and 60 rpm; the tool changes units only and does not calculate pulley ratios, gear ratios, cutting speed, motor load, or equipment limits.

Method and assumptions

Figur normalizes every value to revolutions per second. It uses 1 rev/s = 1 Hz = 60 rpm = 2π rad/s = 360°/s, then converts to the target unit.

  • Each frequency cycle represents one complete revolution.
  • Speed is constant over the interval represented by the value.
  • The display limits significant digits while the calculation retains π at available numeric precision.

Unit conversion only. It does not calculate pulley or gear ratios, cutting speed, motor load, operating limits, or safety recommendations.

Sources and references

Worked example

Convert 1,800 rpm to radians per second.

1,800 rpm equals 188.495559215 rad/s.

Frequently asked questions

How are Hz and rpm related?

For cyclic rotation, hertz counts cycles per second and each full revolution is one cycle, so 1 Hz = 1 rev/s = 60 rpm.

How do radians per second relate to revolutions?

One full revolution is exactly 2π radians, so multiply rev/s by 2π to get rad/s or divide rad/s by 2π to get rev/s.

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