Problems

$9\mathrm{.}1$ A standard size pinion with a $3\mathrm{.}00$ in$.$ pitch circle has an addendum of $0\mathrm{.}200$ in$.$ How many teeth are on the pinion? What is its circular pitch?

$9\mathrm{.}2$ A $24-$tooth pinion with a diametric pitch of $10$ teeth $\frac{?}{in}.$ and a pressure angle of $20$ is to mesh with a similar size gear. Calculate the outside diameter of the pinion, the addendum, the dedendum, the pitch diameter, and the circular pitch.

$9\mathrm{.}3$ A $2-$module, $20$ pinion with $20$ teeth drives a $40-$tooth gear. Calculate the pitch radius $(mm),$ base radius $($mm$),$ and the circular pitch of each gear.

$9\mathrm{.}4$ A $48-$tooth pinion with a pitch radius of $96\mathrm{.}0$ mm and a pressure angle of $20$ is to mesh with a similar size gear. Calculate the outside diameter of the pinion, the addendum, the dedendum, the pitch diameter, and the circular pitch.