Question: A vertical screw with single-start square threads (50 mathrm{~mm}) mean diameter and (10 mathrm{~mm}) pitch is raised against a load of (6 mathrm{kN}) by means

A vertical screw with single-start square threads $50 \mathrm{~mm}$ mean diameter and $10 \mathrm{~mm}$ pitch is raised against a load of $6 \mathrm{kN}$ by means of a hand wheel, the boss of which is threaded to act as a nut. The axial load is taken by a thrust collar that supports the wheel boss and has a mean diameter of $70 \mathrm{~mm}$. If the coefficient of friction is 0.15 for the screw and 0.20 for the collar, find the suitable diameter of hand wheel. Assume that a person can apply a force of $150 \mathrm{~N}$ by each hand.

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