The only requirement is that the central force exactly equals the centripetal force, which determines the required angular velocity for a given circular radius.
ðɪ ˈoʊnli ɹᵻkwˈaɪɚmənt ɪz ðætðə sˈɛntɹəl fˈoːɹs ɛɡzˈæktli ˈiːkwəlz ðə sˈɛntɹaɪptəl fˈoːɹs, wˌɪtʃ dɪtˈɜːmɪnz ðə ɹᵻkwˈaɪɚd ˈæŋɡjʊlɚ vəlˈɑːsᵻɾi fɚɹə ɡˈɪvən sˈɜːkjʊlɚ ɹˈeɪdɪəs.