A bicycle odometer (which measures the distance traveled) is designed for 27" wheels. What happens if you use it on a bicycle with 24" wheels? Will the odometer show the same, a larger or a smaller distance traveled? Explain.

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Chapter1: Units, Trigonometry. And Vectors
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**Question:**
A bicycle odometer (which measures the distance traveled) is designed for 27" wheels. What happens if you use it on a bicycle with 24" wheels? Will the odometer show the same, a larger or a smaller distance traveled? Explain.

**Answer:**
When an odometer designed for 27" wheels is used on a bicycle with 24" wheels, it will show a larger distance traveled than what is actually covered.

**Explanation:**
The odometer calculates distance based on the number of rotations the wheel makes. Since it is calibrated for a 27" wheel, it assumes each rotation covers the circumference of a 27" circle. However, a 24" wheel has a smaller circumference. Therefore, for each rotation of a 24" wheel, the odometer will overestimate the distance, as it will incorrectly apply the larger circumference of a 27" wheel to the rotation count.
Transcribed Image Text:**Question:** A bicycle odometer (which measures the distance traveled) is designed for 27" wheels. What happens if you use it on a bicycle with 24" wheels? Will the odometer show the same, a larger or a smaller distance traveled? Explain. **Answer:** When an odometer designed for 27" wheels is used on a bicycle with 24" wheels, it will show a larger distance traveled than what is actually covered. **Explanation:** The odometer calculates distance based on the number of rotations the wheel makes. Since it is calibrated for a 27" wheel, it assumes each rotation covers the circumference of a 27" circle. However, a 24" wheel has a smaller circumference. Therefore, for each rotation of a 24" wheel, the odometer will overestimate the distance, as it will incorrectly apply the larger circumference of a 27" wheel to the rotation count.
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