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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCircular Motion

Two cars with masses m₁ and m₂ travel in circles of radii r₁ and r₂ , respectively. If they complete one circle in equal time, the ratio of their angular speeds ₁ ₂ is

Options

  1. Am₁ m₂
  2. Bm₁ r₁ m₂ r₂
  3. C1
  4. Dr₁ r₂

Correct answer

C. 1

Step-by-step solution

The time taken to complete one circle is the time period T . Given that both cars complete one circle in equal time, their time periods are equal, T₁ = T₂ . The angular speed is given by = 2 T . Taking the ratio of the angular speeds of the two cars: ₁ ₂ = 2 T₁ 2 T₂ = T₂ T₁ Since T₁ = T₂ , we get ₁ ₂ = 1 .

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