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?