Consider the power transfer between two parallel shafts. The electric motor operates at a constant speed of 1800 rpm and the driven compressor operates at a speed of 1000 rpm. The parallel shafts must be at a center distance C of 8" ( /- 0.25"). Determine the characteristics of a standard gear set that can accomplish the required velocity ratio and center distance. For the gear set you determine, specify the following features:

a) Number of teeth for motor gear 1, N1

b) Number of teeth for pump gear 2, N2

c) Gear set standard pressure angle

d) Diametral pitch, Pd

e) Pitch radii, R1 and R2

f) Length of contact, l

g) Contact Ratio, m

h) Center Distance, C

i) Verify velocity ratio (omega_1/ omega_2) using pitch radii