A motor is providing  2 HP to the helical pinion at 1000 rpm…

A motor is providing  2 HP to the helical pinion at 1000 rpm. Gear has twice as many teeth as pinion. They both have full-depth teeth. The helix angle Ψ  is 30 degrees. The normal pressure angle ϕn is 25.  Hence, the transverse pressure angle ϕt is atan( tanϕn/cosΨ ) =  28.3001 deg.   The normal diametral pitch Pn is 12 teeth/inch. Hence, the transverse diametral pitch Pt is 12*cos(30) = 10.3923 teeth/inch.  Answer the questions below: