System of Particles and Rotational Motion - Result Question 15

«««< HEAD:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion-result-question-15.md

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]

======= ####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]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion—result-question-15.md (a) $1: 1$

(b) $m_1: m_2$

(c) $r_1: r_2$

(d) $m_1 m_2: r_1 r_2$

Show Answer

Answer:

Correct Answer: 15. (a)

Solution:

  1. (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.