Question 139: Work, Energy and Power & Circular Motion

Question

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, 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

m1r1 : m2r2

Answer

m1 : m2

Answer

r1 : r2

Answer

1 : 1

Work, Energy and Power & Circular Motion

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

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