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If gear A turns 5 times, how many times will gear B turn?1 time 5 times 10 times 20 times

Question

If gear A turns 5 times, how many times will gear B turn?

  1. 1 time
  2. 5 times
  3. 10 times
  4. 20 times
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Solution

To determine how many times gear B turns when gear A turns 5 times, we first need to understand the relationship between the gears, specifically their sizes and how they interlock.

1. Break Down the Problem

  • Identify the number of teeth on each gear or the ratio of their sizes.
  • If no specific gear sizes are given, we cannot determine the specific movement ratio between gears A and B without that information.

2. Relevant Concepts

  • The gear ratio is calculated based on the number of teeth on the gears: Gear Ratio=Number of Teeth on Gear BNumber of Teeth on Gear A \text{Gear Ratio} = \frac{\text{Number of Teeth on Gear B}}{\text{Number of Teeth on Gear A}}

3. Analysis and Detail

  • If gear A has a different number of teeth than gear B, the number of turns gear B makes per turn of gear A can be determined by the gear ratio.
  • Without specific numbers, we can hypothesize:
    • If gear B has the same number of teeth as gear A, then gear B turns the same number of times as gear A (5 times).
    • If gear B has more teeth, it would turn less frequently.
    • If gear B has fewer teeth, it would turn more frequently.

4. Verify and Summarize

  • To fully resolve the question, the number of teeth on both gears is essential.
  • Given the scenarios outlined, the answer can vary based on the teeth ratio.

Final Answer

Without specific details regarding the number of teeth on gears A and B, we cannot definitively answer how many times gear B turns when gear A turns 5 times. More information is needed.

This problem has been solved

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