A three-start worm has a pitch diameter of (80 mathrm{~mm}) and a pitch of (20 mathrm{~mm}). It

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A three-start worm has a pitch diameter of \(80 \mathrm{~mm}\) and a pitch of \(20 \mathrm{~mm}\). It rotates at \(600 \mathrm{rpm}\) and drives a 40 tooth worm gear. If coefficient of friction is 0.05 , find the

(a) helix angle of worm,

(b) speed of the gear,

(c) centre distance, and

(d) efficiency and maximum efficiency.

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