12. The interior surface area of a tire is 4578 cm? What is the tire pressure in lbs/in", if 9172 kilograms of force is exerted on the tire surface?

28.5 lbs/in²

Explanation:

The following data were obtained from the question:

Area (A) = 4578 cm²

Force applied (F) = 9172 kg

Pressure (P) =..?

Next, we shall convert 4578 cm² to in².

This can be obtained as follow:

1 cm² = 0.155 in²

Therefore,

4578 cm² = 4578 cm² / 1 cm² × 0.155 in²

4578 cm² = 709.59 in²

Therefore, 4578 cm² is equivalent to 709.59 in²

Next, we shall convert 9172 kg to pounds (lbs) This is illustrated below:

1 kg = 2.20462 lbs

Therefore,

9172 kg = 9172 kg / 1 kg × 2.20462 lbs

9172 kg = 20220.8 lbs

Therefore, 9172 kg is equivalent to 20220.8 lbs

Finally, we shall determine the pressure as follow:

Area (A) = 709.59 in²

Force applied (F) = 20220.8 lbs

Pressure (P) =..?

P = F/A

P = 20220.8 lbs / 709.59 in²

P = 28.5 lbs/in²

Therefore, the tire pressure exerted of the surface is 28.5 lbs/in²