#### RJLiberator

Gold Member

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**1. The problem statement, all variables and given/known data**

If the speed was doubled, what would the radius and period be to keep the same acceleration?

**2. Relevant equations**

a = v^2/R

T = 2piR/t

**3. The attempt at a solution**

So with my understanding it is as follows:

(2v)^2/R

This makes it 4v^2/x = a

since a=v^2/R

Setting this into a proportion

we get

4v^2*R=v^2*x

so 4R=x

Radius must be 4 times larger to support a doubling in speed.

T = 8piR/t

Correct?