Two spur gears with a module $\backslash (\backslash$mathrm$\{$m$\}=10\backslash$mathrm$\{$~mm$\}\backslash )$ and a pressure angle of $14\mathrm{.}5$ degrees are in mesh. The pinion is turning at $1800$ RPM with an input power of $1000$ W $.$ The pinion has $12$ teeth and the final gear has $48$ teeth.

$1.$ What is the speed ratio between the pinion and the final gear?

$-2.$ What is the center distance between the gears?

$3.$ What separating $($radial$)$ forces will need to be reacted by the structure holding the gears?

$4.$ What is the output torque on the final gear?