Question

Future space stations will create an artificial gravity by rotating. Consider a cylindrical space station 780 m diameter rotating about its central axis. Astronauts walk on the inside surface of the space station. What rotation period will provide "normal" gravity?

Answer 1

Answer:1.513 rps

Explanation:

Given

Diameter of cylindrical space $d=780\ m$

When the station rotates it creates centripetal acceleration which is given by

$a_c=\omega ^2r$

Now it must create the effect of gravity so

$g=\omega ^2r$

$\omega =\sqrt{\frac{g}{r}}$

$\omega =0.158\ rad/s$

and $\omega =\frac{2\pi N}{60}$

Thus $N=\frac{4.755}{3.142}$

$N=1.513\ rps$