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Unit Conversion & Everyday Life

Frequency Converter

Convert frequency between hertz, kilohertz, megahertz, gigahertz, rpm and angular units (rad/s, degrees per second).

Your inputs

Results

3000 rpm in Hz

50 Hz

Conversion type
Exact (from defined constants; display rounded to 12 significant figures)
1 rpm =
0.016666666667 Hz

✓Exact calculation — rounded only for display

3000 rpm in all frequency units9 rows
UnitValue
Hertz (Hz)50
Kilohertz (kHz)0.05
Megahertz (MHz)0.00005
Gigahertz (GHz)5E-8
Terahertz (THz)5E-11
Revolutions per minute (rpm)3,000
Radians per second (angular) (rad/s)314.159265359
Degrees per second (angular) (°/s)18,000
Cycles per hour (/h)180,000

What this calculator does

Frequency describes cycles per second in electronics and audio, and rotation speed for motors and machinery. Convert between hertz multiples, rpm and angular units.

Formula and method

1 rpm = 1/60 Hz; ω (rad/s) = 2π × f

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Value: 3000
  • From: Revolutions per minute (rpm)
  • To: Hertz (Hz)

Results

  • 3000 rpm in Hz: 50 Hz
  • Conversion type: Exact (from defined constants; display rounded to 12 significant figures)
  • 1 rpm =: 0.016666666667 Hz

How to read the results

3000 rpm is 50 Hz.

Assumptions and limitations

  • Constants follow NIST SP 811 and the SI Brochure. Conversions marked exact follow from defined values; display is rounded to 12 significant figures.

Questions

Why are rad/s and Hz different?

One full cycle is 2π radians, so ω = 2πf.

Sources

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
7 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

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