A pair of helical gears is used with the following properties:14.5 degree normal pressure angle, 45 degree helix angle, diametralpitch of 8 teeth/in, 1.5-in face width, and normal diametral pitchof 11.31 teeth/in. The pinion has 12 teeth and a 1.5in pitchdiameter, and the gear has 32 teeth and a 4.0 in pitch diameter.Both gears have full-depth teeth. If a right-hand pinion and a lefthand gear are placed in mesh, find the transverse contact ratio,the normal contact ratio, the axial contact ratio, and the totalcontact ratio.