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 the calculates the distance traveled. If the wheel has a $1.07 \mathrm{~m}$ diameter and goes through 140,000 rotations, how many kilometers should the odometer read? (Enter a number.) $\mathrm{km}$

Step 1 ：Given that the diameter of the wheel is \(1.07 \, m\) and the wheel goes through \(140,000\) rotations.

Step 2 ：The circumference of the wheel can be calculated using the formula \(C = \pi d\), where \(d\) is the diameter of the wheel.

Step 3 ：Substituting the given values into the formula, we get \(C = \pi \times 1.07\) meters.

Step 4 ：The distance traveled by the wheel can be calculated by multiplying the number of rotations by the circumference of the wheel, which gives us \(140,000 \times C\) meters.

Step 5 ：Since the result is in meters, we need to convert it to kilometers by dividing by \(1000\).

Step 6 ：So, the distance in kilometers is \(\frac{140,000 \times C}{1000}\).

Step 7 ：Final Answer: The odometer should read \(\boxed{470.61}\) kilometers.