Step 1: Understanding the Question:
The question asks to identify the type of gear train used to connect the concentric hour and minute hands in a mechanical clock.
Step 2: Key Formula or Approach:
A gear train in which the first gear and the last gear have the same (coaxial) axis of rotation is classified as a reverted gear train.
Step 3: Detailed Explanation:
• In a clock, the minute hand and the hour hand must rotate about the exact same central axis.
• However, they must rotate at different angular speeds. Specifically, the minute hand must complete one full rotation in 1 hour, while the hour hand must take 12 hours to complete one rotation.
• To achieve this coaxial configuration with different output speeds, a specific layout of gears is required.
• A reverted gear train achieves this by placing two parallel shafts such that the output shaft is aligned coaxially with the input shaft.
• The first gear on the input shaft drives a gear on an intermediate shaft, and another gear on this intermediate shaft drives the final coaxial gear. This ensures both concentricity and the necessary velocity reduction.
Step 4: Final Answer:
In a clock mechanism, the hour and minute hands are connected by a reverted gear train.