Relative Circular MotionHardQuestion 30640
Question
Two particles move in the same circle at angular speeds ω₁ and ω₂. The time for one to lap the other (relative angular speed) depends on:
- A|ω₁ + ω₂|
- B|ω₁ − ω₂|Correct
- Cω₁ × ω₂
- D(ω₁ + ω₂)/2
Correct answer
|ω₁ − ω₂|
Explanation
The relative angular speed is |ω₁ − ω₂|. The time for one to lap the other (gain one full revolution) is T = 2π/|ω₁ − ω₂|.