Question

The Hermes is a rotating space station that allows its occupants to experience simulated gravity. If its angular velocity is 0.66 rad/s and gives a simulated gravity of 0.4g, what is its diameter?

Answer 1

a = v^2 / R = ω^2 R centripetal acceleration

.4 g = .4 * 9.80 m/s^2 = 3.92 m/s^2

R = a / ω^2 = 3.92 / .66^2 = 9.0 m

D = 2 R = 2 * 9.0 = 18.0 m diameter