The pressure in car tires is often measured in pounds per square inch (lb/in. 2 ), with the recommended pressure being in the range of 25 to 45 lb/in. 2 . Suppose a tire has a pressure of 45.0lb/in. 2 . Convert 45.0lb/in. 2 to its equivalent in atmospheres.
To convert the pressure from pounds per square inch (lb/in.²) to atmospheres (atm), we need to use the conversion factor:
1 atm = 14.7 lb/in.²
So, to convert 45.0 lb/in.² to its equivalent in atmospheres, we can use the following calculation:
45.0 lb/in.² * (1 atm / 14.7 lb/in.²) = 45.0 / 14.7 atm
Simplifying this expression gives us:
45.0 / 14.7 atm ≈ 3.06 atm
Therefore, a tire with a pressure of 45.0 lb/in.² is approximately equivalent to 3.06 atmospheres.