Frequency and Angular Rate Converter

Periodic Waves & Harmonic Frequency Systems

Frequency is the number of occurrences of a repeating event per unit of time.

Fundamental Unit Relationships

• Hertz (Hz): 1 cycle per second.

• Angular Frequency (ω): Measures rotational rate in radians per second).

• RPM (Revolutions Per Minute): Mechanical rotational velocity standard).

• Radio Wavelength (λ): Physical spatial distance between consecutive wave peaks.

How to Use This Calculator

Enter your Frequency / Periodic Rate Value (e.g. 100), From Unit — choose from Hertz (Hz, cycles/s), Kilohertz (kHz), Megahertz (MHz), and To Primary Target Unit — choose from Hertz (Hz), Kilohertz (kHz), Megahertz (MHz). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Universal frequency and rotational kinematics conversion ratios: to RPM: RPM = Hz × 60 to Angular Frequency (rad/s): ω = 2π × f Period (seconds): T = (1) / (f) of Light Wavelength: λ = (c) / (f) = (299,792,458 m/s) / (f (Hz))

Worked Example

For example, converting an FM radio broadcast frequency of 100 MHz: 0.100 GHz, and 6,000,000,000 RPM. Its oscillation period is and its free-space wavelength is .

Understanding Your Result

Unit conversion precision: round to the same number of significant figures as your original measurement. Converting 6 feet to meters gives 1.8288 m — but if your measurement was approximate (±1 inch), expressing more than 2 decimal places is false precision. For international trade and technical specifications, SI units (meters, kilograms, liters) are the standard. US customary units (feet, pounds, gallons) differ from Imperial UK units: 1 US gallon = 3.785 L vs. 1 UK gallon = 4.546 L.