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Q8. A reciprocating engine transmits 4500 kW at 105 rpm via a directly coupled solid main shaft. The solid shaft is replaced with a hollow shaft fabricated from the same material. The maximum permissible stress within either shaft is 55 MN/m² and the ratio of mean to maximum torque is 1 to 1.25.

Calculate EACH of the following:

(a) the diameter of the solid main shaft; (6)

(b) the diameter of the hollow main shaft with a bore equal to half the outer diameter. (10)