Question

To simulate the extreme accelerations during launch, astronauts train in a large centrifuge. If the centrifuge diameter is 13.5m , what should be its rotation period to produce a centripetal acceleration of

If the centrifuge diameter is 13.5m , what should be its rotation period to produce a centripetal acceleration of 4 g?


First of I used the formula a=-rw^2. the numbers i used for a were -4(9.8m/s^2). -r was 13.5m. after i plugged it into the formula to solve for w, i got w to be 1.70. then i plugged it into the formula v=2piR/T. My answer became 50 but its still telling me i did it wrong. Any help please??

Answer 1

a=ω²R =(2π/T)²R =4g
T= πsqrt(R/g)= 3.7 s

Answer 2

the answer became 2.61 but im not sure how