The figure above shows a gearbox. In accordance with the provided elements below and by employing the design parameters presented in the design parameters file, design the system.

The design parameters :

Input Power: $7,5$ kw

Input speed: $2900$ rpm

output $1$ power : $\%55$

output $1$ reduction ratio: $4,7$

output $1$ efficiency: $\%94$

output $2$ worm gear stage reduction ratio: $25$

QUESTION $1$: Design the gearbox determining tooth numbers and sizing the gear $($using Lewis Equation$)$according to given variables. Use spur and worm gears only. $($I WILL SEND EACH QUESTION ONE BY ONE. THIS IS THE FIRST ONE$)$