1. The problem statement, all variables and given/known data An astronaut rotates at the end of a test machine whose arm has a length of 10m. If the acceleration she experiences must not exceed 5g (g = 10 ms^-2), what is the maximum number of revolutions per minute of the arm? 2. Relevant equations T = (2πR)/v V = (2πR)/T Ac = V2/r 3. The attempt at a solution Ac = v2/r Plug in acceleration given and radius (from length of 10m): 10 = v2/5 5*10 = 50 50 = v2 v = 7.07107 T = 2π*5/7.07107 T = 4.44288 revolutions for 1g Multiply 4.44288 by 5 = 22.2144 RPM?