Solve the next problem: a$)$ If the driving shaft $($A$)$ rotates at $1750$ rpm $,$ what speed does the output shaft $($C$)$ rotate at$?$ b$)$ How many rotations does the output shaft $($C$)$ make for every $250$ rotations of the driving shaft $($A$)?$

$N1=16$ teeth

$N2=55$ teeth

$N3=18$ teeth

$N4=78$ teeth

${}_A{Z}_A={}_B{Z}_{B1}$

${}_B{Z}_{B2}={}_C{Z}_C$

Z $=$ Number of teeth

$=$ Angular speed