Problem 4-72 Centripetal acceleration - C

To produce artificial gravity on a space colony, it is proposed that the colony should rotate. Suppose that the acceleration required is equal in magnitude to the acceleration due to gravity on the earth. For a colony that is \(1.0 \;km\) in diameter, determine the frequency of rotation, the period of rotation, as well as the speed of a person at the edge of the colony (relative to the centre of the colony). [Ans. \(2.2 \times 102\; Hz;\) \(45\; s;\) \(7.0 \times 101 \;m/s\)]

No. Check the units to see that it is not correct.

\([a] = m/s^2 \)     \([v/r] = (m/s)^2/m = s^{-1}\)

Try again.