The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear Q-2 illustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on an axle...


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The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear<br>Q-2<br>illustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on<br>an axle carried by the annular gear-7 (internal gear), and the planet gear-6 on an axle mounted<br>on the output shaft's arm-a. All gears have the same module, m = 2.5 mm. Given the tooth<br>numbers indicated,<br>a) Determine the missing number of teeth of gears 4 and 7.<br>b) Determine the angular speeds of gear-7, and the output shaft-a when the input shaft<br>rotates at 1400 rev/min (c.w.).<br>(You are to use the gear train values and relative speed ratios indicated by Rj or Rji.)<br>Hint: Write one equation for each arm;<br>N2 = 30-T<br>e.g., one of these may be<br>N3 = 20-T<br>%3D<br>N4 =<br>nj-narm<br>Rij<br>or<br>16<br>ni-narm<br>N5 = 32-T<br>%3D<br>(-1 )<br>ni-narm<br>1<br>N6 = 16-T<br>Rji<br>nj-narm<br>Rij<br>%3D<br>N.<br>Input (2) WS Output<br>7 =<br>Where i = 2, and j = 4 (in both!)<br>

Extracted text: The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear Q-2 illustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on an axle carried by the annular gear-7 (internal gear), and the planet gear-6 on an axle mounted on the output shaft's arm-a. All gears have the same module, m = 2.5 mm. Given the tooth numbers indicated, a) Determine the missing number of teeth of gears 4 and 7. b) Determine the angular speeds of gear-7, and the output shaft-a when the input shaft rotates at 1400 rev/min (c.w.). (You are to use the gear train values and relative speed ratios indicated by Rj or Rji.) Hint: Write one equation for each arm; N2 = 30-T e.g., one of these may be N3 = 20-T %3D N4 = nj-narm Rij or 16 ni-narm N5 = 32-T %3D (-1 ) ni-narm 1 N6 = 16-T Rji nj-narm Rij %3D N. Input (2) WS Output 7 = Where i = 2, and j = 4 (in both!)

Jun 11, 2022
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