Question

A compound gear train is formed by six gears on four different axles. Gear A (3-in diameter) is powered by an electric motor and meshes with gear B (5-in diameter). Gear B and gear C (3-in diameter) are on the same axle. Gear C meshes with gear D (5-in diameter). Gear D and E (3-in diameter) are on the same axle. Finally, gear E meshes with gear F (8-in diameter). What is the total gear ratio (GR) of the compound gear train?

a. 5.3
b. 7.1
c. 8.9
d. 10.6

Answer 1

The total gear ratio (GR) of the compound gear train is approximately 11.11.

Step-by-step explanation:

To find the total gear ratio (GR) of the compound gear train, we need to multiply the individual gear ratios. Each gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear, resulting in a simple ratio. Here, gear B is driven by gear A, so the gear ratio is 5/3. Gear C is driven by gear B, so the gear ratio is also 5/3. Gear D is driven by gear C, so the gear ratio is 5/3. Finally, gear F is driven by gear E, so the gear ratio is 8/3. Multiplying all the gear ratios together, we get (5/3) * (5/3) * (5/3) * (8/3) = 100/9. Therefore, the total gear ratio (GR) of the compound gear train is approximately 11.11.