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Kinematics class

3. (25 POINTS) Planetary gear train analysis: The figure below representsa planetary gear train used in a drill head. Gear 1 rotates with the input shaft. The ring gear 3 meshes both with gear 5 and gear 6, which are the planets. Gear 2 acts as the carrier for gear 5, the output is the carrier 4 Consider the number of teeth Ni-6, N2 36, N-54, N-24 and No-9 a) Identify how many stages are needed to fully define the gear b) Calculate the gear ratio for each stage with respect to the carriers c) Consider now that gear 3 is fixed and compute the input / output d) (EXTRA CREDIT) With the conditions in c) and assuming train, and the gears that are involved in each of the stages (assuming that we fix the carriers) Remember that you can choose your input and output in order to do so. gear ratio for the input and output shown in the drawing below 100% efficiency, compute torque at the output if the input torque is T- 20 Nm. 3 6 4 Output Input ГЛ
engineering   Mechanical-Engineering   
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PAGE OF 3 Page No. No.ee teeth , N; = 6 N, 2 3 6 ,ngー5iシrts _24두Ns29 Gwen Thoo stoges 으toge-T : Geor-, Geor-3, Geor-5, gear-2/caener-s - geos-5 stage-Geay- 2, Geor-, Gear-3, cornex-4 сох81eas (assu mng 1hal- use fin the caxeegs Revolurons af elemens No. ear- Fix the ca飞31er-2, Geos-5 ototes through tv (ce 2, all e lement Total -no-n easDate:--de Page No Revohulions Pelemenls No. +1 刀evolution (+.e.cr») 5 to all elements Totol mon gear 3 has iput on, 8cax -G has output molon Then spee ear -3 うー ャr and combute the outbut Foom stage-1 table molronDate: PAGE 3 OF 3 Page No From soe-3Table o molron 3 and 1 2 cou 2 25 ANSWER _ whh-condihon in-_ and assumng loo% ePoency compute 1 M Dsque ot the outbuh 1 n ヲ Output lorque 4 =500 N ANSWER

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