a trailer hub odometer counts the number of wheel revolutions it then calculates the distance traveled. The wheel has a 1.5 m diameter and goes thru 240000 rotations, how many kilometers should read?

To find the distance traveled by the wheel based on the number of rotations, we need to calculate the circumference of the wheel and then multiply it by the total number of rotations.

### Step 1: Find the Circumference of the Wheel
The formula for the circumference \( C \) of a circle is:
\[
C = \pi \times d
\]
where \( d \) is the diameter of the wheel. Given:
\[
d = 1.5 \, \text{m}
\]
So:
\[
C = \pi \times 1.5 = 4.71 \, \text{m} \, (\text{approximately})
\]

### Step 2: Calculate the Total Distance Traveled
The total distance \( D \) traveled is the product of the circumference and the number of rotations:
\[
D = C \times \text{number of rotations}
\]
Given 240,000 rotations:
\[
D = 4.71 \, \text{m} \times 240,000 = 1,130,400 \, \text{m}
\]

### Step 3: Convert Meters to Kilometers
To convert the distance to kilometers, divide by 1,000:
\[
\frac{1,130,400 \, \text{m}}{1,000} = 1,130.4 \, \text{km}
\]

### Answer
The odometer should read **1,130.4 kilometers**.

Would you like further details or have any questions?

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Here are five related questions you might explore:

1. What would be the distance traveled if the wheel diameter was different?
2. How does increasing the number of rotations affect the total distance?
3. How would the result change if the odometer under-counted rotations by a specific percentage?
4. What other methods could be used to measure the distance traveled without counting rotations?
5. How would changes in tire wear impact the accuracy of the distance measured?

**Tip:** For circle-based distance problems, always remember that the circumference is essential for calculating rotational travel distances.

A trailer hub odometer counts the number of wheel revolutions. It then calculates the distance traveled. The wheel has a 1.5 m diameter and goes through 240,000 rotations. How many kilometers should it read?

This solution explains how to calculate the distance traveled by a wheel with a 1.5-meter diameter after 240,000 rotations. Using the circumference formula and unit conversions, find the total kilometers traveled by the trailer hub odometer. Perfect for students in Grades 6-8.

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