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

Step-by-step 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{(g)/(r)}`

`\omega =0.158\ rad/s`

and
`\omega =(2\pi N)/(60)`

Thus
`N=(4.755)/(3.142)`

`N=1.513\ rps`