(Solved): Part A The operation of "reverse" for a three-speed automotive transmission is illustrated schematic ...

Part A The operation of "reverse" for a three-speed automotive transmission is illustrated schematically in the figure. (Figure 1) If the crank shaft \( G \) is turning with an angular speed of \( \omega_{G}=35 \mathrm{rad} / \mathrm{s} \), determine the angular speed of the drive shaft \( H \). Each of the gears rotates about a fixed axis. Note that gears \( A \) and \( B, C \) and \( D, E \) and \( F \) are in mesh. The radii of each of these gears are reported in the figure. Express your answer to three significant figures and include the appropriate units.