If a cylindrical space station 300 {\rm m} in diameter is to spin about its central axis, at how many revolutions per minute ({\rm rpm}) must it turn so that the outermost points have an acceleration equal to g?

Answer 1

I do not understand your {\rm m} symbol.

Compute the required angular rotation rate w, in radians per second. Then convert that w rate to rpm. I assume you know how to d that.

The rate is given by

R w^2 = g

w = sqrt(r/R)

Answer 2

0.08