The formula to calculate the Corrected Distance (CD) is:
\[ CD = \left( \frac{TC \times CF}{SC} \right) \times AD \]
Where:
Odometer correction is the process of adjusting the reading on a vehicle’s odometer to reflect the accurate distance the vehicle has traveled. This is necessary when the tire size installed on the vehicle is different from the manufacturer’s standard size, which can cause the odometer to report a distance that is higher or lower than the actual distance traveled. The correction ensures that the vehicle’s mileage is accurately recorded for maintenance schedules, resale value, and legal purposes.
Let's say the tire circumference (TC) is 80 inches, the correction factor (CF) is 1.05, the standard tire circumference (SC) is 78 inches, and the actual distance traveled (AD) is 100 miles. Using the formula:
\[ CD = \left( \frac{80 \times 1.05}{78} \right) \times 100 = 107.69 \, \text{miles} \]
So, the corrected distance (CD) is 107.69 miles.