Question 146: Work, Energy and Power & Circular Motion

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 that they make complete circles in the same time t. The ratio of their centripetal acceleration is

Accepted Answer

We know, $$a = r\,{w^2} = r 	imes {\left( {{{2\pi } \over T}} ight)^2}$$
Given, $${T_1} = {T_2} = T$$
$${a_1} = {r_1} 	imes {\left( {{{2\pi } \over T}} ight)^2}$$
$${a_2} = {r_2} 	imes {\left( {{{2\pi } \over T}} ight)^2}$$
$$	herefore$$ $${{{a_1}} \over {{a_2}}} = {{{r_1}} \over {{r_2}}}$$

Answer

m
1
r
1
: m
2
r
2

Answer

m
1
: m
2

Answer

r
1
: r
2

Answer

1 : 1

Work, Energy and Power & Circular Motion

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 that they make complete circles in the same time t. The ratio of their centripetal acceleration is

Choose the correct answer: