Kilohertz To Radians Per Second Converter

Reverse Conversion

How This Converter Works

This converter changes kilohertz (kHz) into radians per second (rad/s). One kilohertz equals 1,000 hertz. Angular frequency measures phase angle in radians per second; one full cycle corresponds to 2π radians.

Formula or rule

rad/s = kHz * 1,000 * 2π

Example

Input: 0.5 kHz
Calculation: Step 1: Start with 0.5 kHz. Step 2: Apply rad/s = kHz * 1,000 * 2π. Step 3: 0.5 kHz converts to 3141.5927 rad/s. Use π ≈ 3.141592653589793 for the example.
Result: 3141.5927 rad/s

Notes

Convert kilohertz to hertz by multiplying by 1,000, then multiply by 2π. Zero converts to zero. Negative values are accepted algebraically and can represent signed frequency or rotation.