Angular Velocity from Period
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
Learning zone
Anything that spins or orbits completes 2π radians per cycle, so period and angular velocity are locked together as reciprocals scaled by 2π. Earth rotates once in 23 h 56 min (the sidereal day), giving ω ≈ 7.292 × 10⁻⁵ rad/s — the number engineers plug into Coriolis and satellite calculations.
Angular Velocity from Period
Where
- = Angular velocity
- = Period
Missing one of these? Work it out first, then come back
- Angular velocity — Angular Velocity (ω = θ/t), Linear Speed from Rotation (v = ωr)
- Period — Speed in Circular Motion (v = 2πr/T), Period-Frequency Relation