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Angular Velocity Calculator

Calculate angular velocity (ω), linear velocity, RPM, and frequency for rotating objects.

Calculator

Calculate From

Angle θ (radians)

Time t (seconds)

Radius r (optional, for linear velocity)

ω = θ/t = 2πf = 2π/T

v = ωr = 2πrf

RPM = 60f = 30ω/π

Angular velocity (ω) measures how fast an object rotates. It's the rate of change of angle with time, measured in radians per second (rad/s).

Angular velocity describes rotation rate, while linear velocity describes how fast a point moves along its circular path. They're related by v = ωr.

RPM = (ω × 60) / (2π) = (ω × 30) / π. Multiply angular velocity in rad/s by 30/π to get RPM.

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