I was an officer of a college club, though admittedly it wasn't newly formed. I spent several semesters getting to know everyone, showed my commitment to the group and its objectives, and enjoyed myself immensely. When elections came up, I just thought, "Well, why not?" and ran successfully.
I'd say that if people have a good record and/or of your dedication to the group, then that gives people reasons to elect you. You probably have to give a small speech where you document why you feel you are qualified for the job. Prepare that, sound personable, maybe throw a little humor in there (if appropriate), and you'll seem well likable and competent.
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"That leap of logic should have broken his legs." - Janissy