The speed of a driving shaft is \(80 \mathrm{rpm}\) and the speed of the driven shaft is \(120 \mathrm{rpm}\). The diameter of the driving pulley is given as \(600 \mathrm{~mm}\). Find the diameter of the driven pulley in the following cases:

(a) If belt thickness is negligible

(b) If belt thickness is \(5 \mathrm{~mm}\)

(c) If total slip is 10\% (considering thickness of belt)

(d) If a slip of \(2 \%\) on each pulley (considering thickness of belt)