Question

A body is in uniform circular motion with
centripetal acceleration a. If its speed get
tripled, then the ratio of centripetal acceleration
after and before the change is

A. 1:6
b. 9:1
c. 3:1
d. 1:3​

Answer 1

Answer:

Ans {c}3:1

Explanation:

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Answer 2

The ratio of centripetal acceleration after and before the change is 9 : 1

Therefore, option (b) is correct.

Explanation:

If the velocity of the body is v

Then the centripetal acceleration of the body is given by

$a=\frac{v^2}{R}$

Where R is the radius of the circular path

Therefore, if the velocity is tripled then new velocity = 3v

New centripetal acceleration

$a'=\frac{(3v)^2}{R}$

$\implies a'=\frac{9v^2}{R}$

The ratio of centripetal acceleration after and before the change

$=\frac{a'}{a}$

$=\frac{9v^2/R}{v^2/R}$

$=9:1$

Hope this answer is helpful.

Know More:

Q: When a body is moving in circular path with acceleration a if its velocity gets doubled find the ratio of acceleration after n before the change?

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