1c) An epicyclic gear train consists of three gears A, B, and C as shown in the figure below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the center of A at 180 r.p.m (cw). If the gear C rotates at 90 rpm (cw) determine (i) the number of external teeth on gear B and (ii) the speed of gears A. (Extra Credit if A is fixed and the only input motion is provided to the arm EF at 180 rpm (cw) find the speed of gear B and C) (10 points) 1d) A 20-degree full-depth spur gear has 35 teeth and diametral pitch of 5. Determine: (i) Addendum circle diameter (ii) Dedendum circle diameter (iii) Working depth and, (iv) Circular pitch (7 points)
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- Gear A has 72 internal teeth. - Gear C has 32 external teeth. - Arm EF rotates at 180 rpm clockwise. - Gear C rotates at 90 rpm clockwise. Show more…
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Adi S.
The figure below is a spur gear train drive and gear 2 is the inlet of the gear train. It transfers 12 kW of power at 1200 rpm. Gear 3 and 4 have 60 and 20 teeth respectively and are made with 20° pressure and full-depth teeth. The desired speed for the output shaft is 32 rpm. Find the minimum number of teeth on gear 2 to obtain 32 rpm at the output and confirm its validation for interference-free power transfer. Find the speed ratio at each gear set using the results obtained at "a" (above). Determine the rotational speed of each gear (n2, n3, n4, and ns) using the results obtained at "a1" (above). Find the torque of each shaft (Tin, Tc, and Tou) assuming that there is no frictional loss during the power transfer. Determine the radial, tangential, and total forces transmitted at the last gear set assuming a module of 4 mm and draw the free body diagram of gear 4 showing the forces and torques.
Madhur L.
The tooth numbers for the gear train illustrated are N2 = 20-T, N3 = 16-T, N4 = 30-T, N6 = 36-T, and N7 = 46-T. Gear 7 is fixed. If shaft-a has an angular speed of ωa = 18 rad/s (c.w.), a) Determine the magnitude and direction of rotational velocities of shaft-b, gear-3 and gear-4 in revolutions per minute [rpm]. [24 pts.] b) If the input power is Hin = 12 kW, determine the torque transmitted by shaft-a (Ta) and shaft-b (Tb) in [N-m]. [16 pts.]
Sri K.
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