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A gear train consists of 3 gears A, B, and C in that order. Gear A has 10 teeth, gear
B has 18 teeth, and gear C has 16 teeth. What is the overall gear ratio?



Answer :

The overall gear ratio for the gear train with gears A, B, and C having 10, 18, and 16 teeth respectively is approximately 1.602. This means for every rotation of Gear A, Gear C rotates around 1.602 times. This ratio is found by multiplying the individual gear ratios between each pair of gears.

To find the overall gear ratio of a gear train, we need to consider each pair of gears involved. In this case, we have three gears: A, B, and C. Gear A (driver) has 10 teeth, gear B (intermediate) has 18 teeth, and gear C (driven) has 16 teeth.

First, we need to calculate the ratio between Gear A and Gear B:

  1. Gear Ratio AB = Teeth of Gear B / Teeth of Gear A
  2. Gear Ratio AB = 18 / 10
  3. Gear Ratio AB = 1.8

Next, we calculate the ratio between Gear B and Gear C:

  1. Gear Ratio BC = Teeth of Gear C / Teeth of Gear B
  2. Gear Ratio BC = 16 / 18
  3. Gear Ratio BC ≈ 0.89

The overall gear ratio is the product of Gear Ratio AB and Gear Ratio BC:

  1. Overall Gear Ratio = Gear Ratio AB × Gear Ratio BC
  2. Overall Gear Ratio = 1.8 × 0.89
  3. Overall Gear Ratio ≈ 1.602

Therefore, the overall gear ratio for the gear train is approximately 1.602. This means that for every rotation of Gear A, Gear C will rotate approximately 1.602 times.

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