Gear Ratio of 1st Epicyclic Gear Set

Gear Ratio of 2nd Epicyclic Gear Set

Gear Ratio for multi-stage Epicyclic Gear Train

Motor Torque and RPM

PITCH DIAMETER CALCULATIONS

Calculation of Pitch Diameter for Planet

Calculation of Pitch Diameter for Sun

Calculation of Pitch Diameter for Ring

Sketch of all 4 components with Pitch Diameters


Why B&D chose to use an epicyclic gear train?
I think that B&D chose to use an epicyclic gear train because of several reasons. Firstly, for a handy screwdriver, there is a limited amount of space with a requirement of a strong gear ratio. So as the gears are packed on top of one another, it makes the design compact and also provides it with a really good gear ratio. The power density is more, as there are several planets which share the same load rather than just one gear taking all the load and not providing as much power. When using an epicyclic gear train, there is no axial load and the total weight of the mechanism is also low which will make the screwdriver last longer. This further leads to cost reduction as well because you dont require gears that are very strong now because of there being no axial load. Accuracy also plays a big role when using epicyclic gear trains as chances of backlash are really low.