$[0/2\mathrm{.}85$ Points$]$

$q,$ OSCOLPHYS$20166\mathrm{.}2.$WA$\mathrm{.}023.$

$$

A rotating space station is said to create "artificlal gravity"$-$a loosely$-$defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non$-$rotating space environments. If the space station is $170$ m in diameter, what angular velocity would produce an "artificial gravity" of $9\mathrm{.}80\frac{m}{s^2}$ at the rim?

$$

$$ rpm