A mechanical gearbox inside a wind turbine contains two meshed spur gears, GA G_A\,GA and GBG_BGB, as shown in the diagram. Gear GA G_A\,GA has 108 teeth and rotates in a clockwise direction. Gear GB G_B\,GB has 36 teeth.
Describe how a third spur gear, GCG_CGC, could be integrated into this gear train so that it rotates in a clockwise direction with triple the rotation speed of gear GBG_BGB.
Your answer should refer to:
- the position of gear GC G_C\,GC relative to the other gears
- the number of teeth required on gear GCG_CGC.