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A person decided to alter the appearance of his car by adding a lift kit, new suspension, & larger wheels.  The original 1993 Chevrolet Caprice had P225/75R15 tires. The modified version had P305/30R26 tires. Determine the diameter of the new tires.

1 Answer

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Sure, calculating the diameter of a tire involves understanding its components.

The diameter of a tire can be calculated using this formula:

\[ \text{Diameter} = \text{Wheel rim size (in inches)} + (\text{Aspect ratio} \times \text{Section width}) \times 2 / 25.4 + \text{Wheel diameter (in inches)} \]

Given:
- Wheel rim size (in inches) = 26 inches (from P305/30R26)
- Section width = 305 millimeters
- Aspect ratio = 30% (from P305/30R26)

Let's plug in the values:

\[ \text{Diameter} = 26 + (0.30 \times 305) \times 2 / 25.4 \]

Calculating:
\[ \text{Diameter} = 26 + (91.5 \times 2) / 25.4 \]
\[ \text{Diameter} = 26 + 184 / 25.4 \]
\[ \text{Diameter} = 26 + 7.2441 \]
\[ \text{Diameter} ≈ 33.2441 \text{ inches} \]

Therefore, the diameter of the modified tires (P305/30R26) is approximately 33.24 inches.
User Sergio Romero
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