A single-threaded worm has an axial pitch of 20 mm and a pitch diameter of 50 mm. The worm rotates at 500 rev/min and drives a gear having 40 teeth and a transverse pressure angle. The power transmitted is 0.5 kW. Determine (a) the lead angle of the worm, (b) the center distance between worm and gear, and (c) the tangential, radial, and thrust forces on the worm gear.
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