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Physical World

Question

A body is moving in a circular path with acceleration 'a'. If its velocity gets doubled, find the ratio of acceleration after and before the change

1:4

$\frac{1}{4} : 1$

2:1

4:1

Solution

1:4

4:1

In a circular motion $α = \frac{ν^{2}}{r}$

$\frac{α_{2}}{α_{1}} = (\frac{ν_{2}}{ν_{1}}) = {(\frac{2 ν_{1}}{ν_{1}})}^{2} = 4 \Rightarrow α_{2} : α_{1} = 4 : 1$