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Q3. A propeller shaft is designed to be solid with a diameter of 280 mm. It is then decided to replace this shaft with a hollow shaft of 350 mm outside diameter of the same material and length. Neither the maximum shear stress nor the angular twist per unit length of the original shaft is to be exceeded.

Calculate EACH of the following:

(a) The maximum permissible inside diameter of the hollow shaft;

(b) The percentage reduction in weight.