
Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions—it then calculates the distance traveled. If the wheel has a 1.13 m diameter and goes through 190,000 rotations, how many kilometers should the odometer read? (Enter a number.)


To solve this, we need to calculate the total distance traveled based on the number of wheel rotations and the wheel's diameter.

### Step-by-step solution:

1. **Determine the circumference of the wheel**:  
   The circumference \( C \) of a circle is calculated using the formula:  
   \[
   C = \pi \cdot d
   \]
   where \( d \) is the diameter of the wheel.  
   Given \( d = 1.13 \, \text{m} \):  
   \[
   C = \pi \cdot 1.13 \approx 3.552 \, \text{m}
   \]

2. **Calculate the total distance traveled in meters**:  
   Multiply the circumference of the wheel by the number of rotations:  
   \[
   \text{Total distance} = C \cdot \text{Number of rotations}
   \]  
   Given \( C \approx 3.552 \, \text{m} \) and \( \text{Number of rotations} = 190,000 \):  
   \[
   \text{Total distance} \approx 3.552 \cdot 190,000 \approx 674,880 \, \text{m}
   \]

3. **Convert meters to kilometers**:  
   There are 1,000 meters in a kilometer, so:  
   \[
   \text{Distance in kilometers} = \frac{\text{Total distance in meters}}{1,000}
   \]  
   \[
   \text{Distance in kilometers} \approx \frac{674,880}{1,000} \approx 674.88 \, \text{km}
   \]

### Final Answer:  
The odometer should read approximately **674.88 kilometers**.  

Do you have any questions or need further clarification?

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Here are 5 related questions:
1. How does the diameter of a wheel affect the odometer readings?
2. What would the odometer read if the wheel's diameter were 1.5 m with the same rotations?
3. How can you calculate the total rotations needed to reach a specific distance?
4. If the odometer were faulty and missed some rotations, how could you estimate the error?
5. How do different tire sizes impact vehicle speedometer accuracy?

**Tip**: Always check the units in your calculations to ensure accuracy, especially when converting between metric and imperial systems!

Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions—it then calculates the distance traveled. If the wheel has a 1.13 m diameter and goes through 190,000 rotations, how many kilometers should the odometer read? (Enter a number.)

Learn how to calculate the distance traveled by a semi-trailer truck based on the wheel's diameter and number of rotations. This problem involves geometry and unit conversion to determine the odometer reading. Includes detailed step-by-step instructions for solving this Grade 8-10 math problem.

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