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.