Two cars having masses m₁and m₂ move in circles of radii r₁ and r₂ respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations? (Ans: r₁/r₂,r₁/r₂)

Two cars having masses m₁and m₂ move in circles of radii r₁ and

1.	Two cars having masses m₁and m₂ move in circles of radii r₁ and r₂ respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations? (Ans: r₁/r₂,r₁/r₂)
Answer» FINAL Answer : $\boxed {r_1 /r_2 , r_1/r_2}$ Steps: 1) SINCE, Time period is same for both the CARS. $v \propto circumference\:\:of \:circle \\ => v\propto r$ Therefore, $\bold {v_1 /v_2 = r_1/r_2}$ 2) Angular velocity is same in both the cases. Therefore, $a \propto r \\ =>\blue {a_1/a_2 = r_1/r_2}$ HENCE, we got our desired result.

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Two cars having masses m₁and m₂ move in circles of radii r₁ and r₂ respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations? (Ans: r₁/r₂,r₁/r₂)

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