$10$ KW power is transmitted in a single$-$stage spur gearbox. Input speed n is given as $955$ rpm$,$ module m$-2$ mm and number of pinion teeth z$=20.$a$)$ If the conversion ratio is $2,$ calculate the distance between the axesb$)$ Determine the graduation, tooth head and tooth bottom circle diameters for both gears.c$)$ Calculate the forces acting on the teeth of the standard pinion wheel pair. $($grip angle $=20\backslash$deg $)$