Question

The top half of a compound epicyclic gear set is as shown in Figure Q2. If the input shaft I rotate at dockwise direction at a speed of 1,200 rpm and gear Al is set as the output, determine the following. (a) The output speed Nal when gear X rotates counter-clockwise direction at the speed of 3,000 rpm. (b) The magnitude and direction of the torque required to lock gear X if 300 Nm torque is applied on input shaft I. The overall transmission efficiency is 90%. [20 marks] Given number of teeth: P1=40 Y=40 Al=120 X=20 P2=30 A2=90 A1 Y S2 S1 Figure Q21 Rajah S2

Answer 1

Ano- Gireen that, A P, S A2P2 S₂ Gear Teeth 20 40 120 40 40 90 30 30 speed to oth the tho 7 Teelt A, = 2P, +5, 120 = 2140)+5, 120 - 80+5, S-40 Az = 22+2 902230)+52 90=60+4 Sn=30 Y, S₂ are mounted at same speed single shoft, tray oxe restatz are rolate P, Az ore mounted same shaft, 80 they at some speed. A, A, are intainas gearing a) Output speed PAI Wrocales Counter clockwise @ 3000 Spor when gear let - resign x=N:-3000 NAI= + 8 = -3000/18 = -166.67

Output NA, -166.67%pom. C counlarclockwise) b transmission efficiency :0.9 (W2.IX) + Cool 10,9720. We ?x= - W2 11 10.99 Px = ? Pp - 300 Watu Wq=(-2/6) +0.9) (2/6)2300)-(+b).7x 45= 1x -- x = +45am Isame direction of input torque diection) :-Tx=450m.