QUESTION $2$

A pinion with $25$ teeth rotates at $2400$ rimin and transmits $22$ kW to a larger gear. The speed ratio is $3$:$1.$ The pinion is made of cast steel with a basic stress of $138$ MPa $.$ Caiculate a suitable module as well as the width for the gears. Also find a suitable materiat that will make both gears approximately equally strong. Teeth of $20$ full depth involute are used. The width of the gears is approximately $3,5m($m$=$rnodule$).$ Speed factor $=\frac{3}{1+v}$ Three possible modules for the teeth can be used, namely $4,5$ or $6$ mm $.$

$$

$\backslash$table$[[$MATERIAL$,$BASIC STRESS MPa$],[$Chrome steel,$227],[0,2\%$ carbon steel,$186],[$Cast steel,$138],[$Cast iron,$41],[$Mild steel,$105],[$Bronze$,82]]$

$[27]$