Angular Velocity Calculator

Calculate angular velocity using radius and linear velocity or angle change over time. Get instant results in different units including rad/s, Hz, and RPM.

Result: 6.28 rad/s

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Understanding Angular Velocity

Angular velocity (ω) measures how quickly an object rotates around a fixed point or axis. It's essential in physics, engineering, and many real-world applications.

Key Formulas

ω = v/r (Linear velocity method)

ω = Δθ/t (Angle change method)

Where:

  • ω = Angular velocity (rad/s)
  • v = Linear velocity (m/s)
  • r = Radius (m)
  • Δθ = Change in angle (radians)
  • t = Time (seconds)

Common Applications

Angular velocity calculations are crucial in:

  • Mechanical engineering (gears, motors, turbines)
  • Astronomy (planetary rotation and orbital motion)
  • Robotics (joint rotation and movement control)
  • Sports science (analysis of rotational movements)