In a reverted epicclic gear train, as shown in a Fig. 15.52 the arm \(A\) carries two gears \(B\) and \(C\) and compound gear \(D, E\). The gear \(B\) meshes with gear \(D\). The number of teeth on gears \(B, C\) and \(D\) are 75, 30 and 90 respectively. Find the speed and direction of gear \(C\) when gear \(B\) is fixed and the \(\operatorname{arm} A\) makes \(100 \mathrm{rpm}\) clockwise.

B C/ A E D Fig.15.52 Reverted epicyclic gear train