4-72. 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 x 10 2 Hz;
45 s; 7.0 x 101 m/s]
The expression for centripetal acceleration is:
(A) ac = v/r
(B) ac = v2/r
(C) ac = v2r