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Two particles A and B are moving in uniform circular motion in concentric circles of radii rₐ and rᵦ with speed vₐ and vᵦ respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be:
- rₐ : rᵦ
- vₐ : vᵦ
- rᵦ : rₐ
- 1 : 1
Correct answer: 1 : 1
Solution
The angular speed (ω) is given by ω = 2π/T, where T is the time period. Since the time period of both particles is the same, their angular speeds will also be the same, making the ratio 1:1.
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