The Mayor, with the approval of Council, may appoint any reputable person as a special policeman to serve for such term and on such conditions as may be designated by the terms of such appointment. Special policemen shall have the powers and duties of a conservator of the peace, and shall receive no compensation from the City unless such compensation is ordered by Council. Appointments may be revoked at any time by the Mayor, Council, or the Chief of Police. (1972 Code §17-1-10)