System of Particles and Rotational Motion - Result Question 15
15. Two racing cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$ respectively. Their speeds are such that each makes a complete circle in the same time $t$. The ratio of the angular speeds of the first to the second car is [1999]
(a) $1: 1$
(b) $m_1: m_2$
(c) $r_1: r_2$
(d) $m_1 m_2: r_1 r_2$
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Answer:
Correct Answer: 15. (a)
Solution:
- (a) As time taken by both car to complete one revolution is same.
As $\omega=\frac{2 \pi}{T} \Rightarrow \omega \propto \frac{1}{T}$, as $T$ is same in both cases. Hence ’ $\omega$ ’ will also be same.
