Answer to Question #307477 in Physics for TylerStefanon

Question

a spaceship is designed with a rotating section to stimulate the effect of gravity for the astronauts. The internal radius of this section is 18.0 m. Calculate the tangential speed that the other wall must have in order for the astronauts to experience 1/2 g of artificial gravity when standing on it?

Answer 1

The centripetal acceleration

$$a=\frac{v^2}{R}=\frac{1}{2}g$$

The tangential speed

$$v=\sqrt{\frac{R}{2}g}=\sqrt{\frac{18.0}{2}*9.8}=9.4\:\rm m/s$$