Calculate the radius at which the tooth of a gear that has a thickness of $1\mathrm{.}57"$ becomes pointed at a pitch radius of $16"$ and a pressure angle of $20\backslash$deg

a$)$ Radius to have a pointed tooth in this gear:

b$)$ Propose a pinion to connect this gear at a standard distance between centers. Write down here the data that completely describes the pinion:

c$)$ Calculate mp in this gear, if it is less than $1\mathrm{.}2,$ propose another pinion and recalculate:

d$)$ If the pinion transmits $30$kW at $1200$ rpm$.$ What torque and tangential force is there in it$?$

Write down the tables or data from the books used for your calculati