Physics Two Dimensional Motion Question 74
Question: Two cars of masses $ {m _{1,}}and,m _{2} $ are moving in circles of radii $ {r _{1,}}and,r _{2} $ , respectively. Their speeds are such tha they make complete circles in the same time t. The ratic of their centripetal acceleration is
Options:
A) $ m _{1},r _{1},:,m _{2},r _{2} $ B) $ m _{1},:,m _{2} $ C) $ r _{1},:,r _{2} $ D) $ 1,,:,,1 $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Centripetal acceleration, $ a _{e}={{\omega }^{2}}r $ Angular velocity, $ \omega =\frac{2\pi }{T} $ The cars make complete circle in same time. As$ T _{1}=T _{2}\Rightarrow {\omega _{1}}={\omega _{2}} $
$ \
Therefore \frac{{a _{c _{1}}}}{{a _{c _{2}}}}=\frac{r _{1}}{r _{2}} $
BETA
