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Q4) A drive pinion and gear wheel system provide a speed reduction ratio of 3 to 1. The 45 kg pinion has a 150 mm radius of gyration whilst the 420 kg gear wheel has a 440 mm radius of gyration. Under no load the pinion attains its rotational speed of 900 rpm in 150 revolutions from rest.

Calculate EACH of the following

(a) Time taken to attain maximum speed. (2)

(b) Total torque in pinion shaft to accelerate the gearing system; (10)

(c) Total kinetic energy in the system at maximum speed. (4)