Cycles per Second to Radians per Second Converter

6.283185 rad/s
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Understanding the Conversion

Conversion Formula

rad/s = cps × 2π

rad/s = cps × 6.283185

How It Works

  • One complete cycle corresponds to 2Ï€ radians (approximately 6.283185 radians)
  • The conversion is based on the mathematical relationship between circular motion and angular measurement
  • This relationship is fundamental in physics, engineering, and signal processing

Common Applications

  • Mechanical Engineering: Motor and engine speed calculations
  • Electronics: Signal frequency analysis
  • Physics: Angular velocity and frequency measurements
  • Audio Processing: Sound wave frequency calculations