Question

1. Gear kinematics. An input shaft drives Gear 1 with 20 teeth at 1800 rpm which mates with
the 80-tooth Gear 2 which in on the intermediate shaft. Also on the intermediate shaft is Gear 3
with 18 teeth. It mates with Gear 4 on the output shaft, where Gear 4 has 90 teeth.
a) How fast does Gear 2 spin, in rpm?
b) Gears 2 and 3 spin at the same speed, so what is the speed of Gear 4?
c) What is the ratio of the input speed to the output speed?
d) Is this compounded train “reverted?”

Answer 1

Gear Gear Ques Solution : Intermediate Shaft Output shaft Input a Shaft Gear Gear ar 6 1 Gear Teeth (1.)= 20 Gear ③ Teeth (72) = 80 geare 3= 18 Gear © T4=go Speed Nz - 1800 RPM Speed N2 = 2 Speed Nz = ? Speed Ny=? 女安 year @ and ☺ are are on on Same shaft Hence N2 = N3 @ Gear ☺ 22 speed N2=? Formula Useed : Speed Ratio : N2 = 1 N1 Tz N2= 20 (1800) 80 N2= 450 RPM

6 gear 6 speed N3 = N2 = 450 RPM speed of Gear Ny=? Formulaused: Speed Ralio : Nye L Ty NG x 450 N3 18 go Ny=90 RPM © Ratio of Input Speed To output Speed NI 1800 go او Ni Ny = 20 Nu *** @ To check whether Compunded Podun is Reverted or not? Reuerted Gear Toain: where Input and output shaft are co-axial. For Coaxial shafts mi tmT2= mBam ty me module m(20) + mBO) = m(18) +m(90) not Reverted floo 100 7108 Above equation is not satiting the Co-aecial Sheft conditien tence Not Reuested 2 2 2. 2