Question

A compound epicyclic gear train is shown in the Figure. The shaft P is driven at 2500 rpm in the clockwise direction by a motor of power rating 8 kW. The sun S2 is fixed. The number of teeth in the gears are S1, 34; S2, 21; A1, 86 and A2, 73. Determine

• The magnitude and direction of the angular velocity of the shaft Q and
• The torque required to fix the sun, S2

A, Q P S, 5,

Answer 1

* The rebocity ratio between S, and A, : when arm Wroin=o. (fixed) TAI ws, رلا х X WAI Flas T TAI رولا وملا Ts, *Now velocity ratto between s, cada when arm Warmto. Ws, Warm 86 34 WA, Warns ws,=- 2500rpm (CW) warm = wa tout pact) -25oo wa 86 34 WA WQ between sa and Az * The Velority ratio where when Wom=o. (fixed) Wsz Tz Tsa T2 TAZ ماکہ X ولا WAZ دولہا TAZ WAL Tsi

S2 and Az * The rebrity ratio between when was to Wsz-Warm TAZ - TSL Was-Warm Wsz=0 (given) Taz=73 AWA Warm = - 2) Ts2 = WAL WQ. WAI 73 - 21 Wat WAI WAL 73 2) WO-WAI T3QAI رخالد 73 Wa +3wQ ah WAI 73 WAIS aú wQ. We -2500 86 34 6 => I! -WQ 73 wa 94

3 2 Soo + до 86 с ада 44 34 13 а 2.Joo+де 98 с 34x49 -21 шg 34x44(25роне)- 20x 864 1.44х6 + 3/46 - - 18ob4 t 9 7.99x66 - Ум — «Qo6 - 319Ь unde WA -- 1597: ЗЫ (cm) 3 о)X 8 ~ 30. SCS77 N-т. Tр - Ро. Wp oaSCX 3 C n ) bo Parr гчіх 8 Тg - P& — һ78 2S3 N-м Сch) ( 9•2651 ху bo The torque required to ТР Fix the sen , ( "(О Те Т. Те +@ Тр++ (ссы) Ceas borx. - ЗоХst7+k7. 8233 т- 78 - 38 3d-mJ(сен)