Angular Velocity Calculator

Results:

Understanding Angular Velocity

Basic Principles

ω = 2π/T = 2πf

v = rω

θ = ωt

Angular Motion

  • Angular displacement (θ)
  • Angular velocity (ω)
  • Angular acceleration (α)
  • Period and frequency
  • Radians vs degrees

Linear Relations

  • Linear velocity (v)
  • Tangential acceleration
  • Centripetal acceleration
  • Radius vector
  • Arc length

Energy & Momentum

  • Rotational kinetic energy
  • Angular momentum
  • Moment of inertia
  • Torque
  • Conservation laws

Advanced Concepts

Vector Analysis

  • Angular velocity vector
  • Cross products
  • Axis of rotation
  • Parallel axis theorem
  • Euler angles

Applications

  • Planetary motion
  • Gyroscopes
  • Turbines
  • Motors and engines
  • Satellite dynamics

Special Cases

  • Non-uniform rotation
  • Precession
  • Nutation
  • Rolling motion
  • Coupled oscillations