The RPM of "A" is 150 and hobbed with 82 teeth. If gears "B", "C", and "D" have 62, 20, and 38 teeth respectively, the RPM of "D" in the gear train illustration is __________. See illustration MO-0088.
• Gear ratio relationship: driver RPM × driver teeth = driven RPM × driven teeth • How compound gear trains work when gears share a shaft (same RPM) • Direction changes vs. speed ratios in multi‑gear systems
• Which gears in the illustration are mounted on the same shaft and therefore must turn at the same RPM? • How do you apply the basic gear formula step‑by‑step from A → B, then from C → D, using the tooth counts given? • After each mesh, is the RPM increasing or decreasing, and does that trend make sense with the overall tooth ratios?
• Be sure to apply N₁ × T₁ = N₂ × T₂ (RPM × teeth) separately for each gear mesh • Verify which tooth counts belong to the meshing pairs (A with B, and C with D) using the illustration labels • After computing the final RPM, check that your answer is reasonable in magnitude compared to the starting 150 RPM (large gear driving smaller gears speeds things up)
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