# Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations?

According to the question given that;

Mass of first car = m1.

The radius of first car = r1.

Mass of second car = m2.

The radius of second car = r2.

Now let;

The speed of first car = V1.

The speed of second car = V2.

Time is taken for the first car to complete = T1 =

Time is taken for the second car to complete = T2 = .

According to question;

T1 = T2.

.

.

Hence the ratio of speeds is .

Centripetal acceleration of First car a1 =

Centripetal acceleration of Second car a2 =

Hence the ratio of centripetal acceleration is

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