Question

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 36.0 lb/in.2 . Convert 36.0 lb/in.2 to its equivalent in atmospheres. Express the pressure numerically in atmospheres.

Answer 1

Answer:

2.4497 atm

Explanation:

Given that:-

The units are:- $lb/in^2$

Also, 1 lb = 4.45 N

$1\ in^2=0.00064516\ m^2$

So, $1\ N/m^2=1\ Pa$

$1\ lb/in^2=\frac{4.45}{0.00064516}\ N/m^2=6897.51\ Pa$

The expression for the conversion of pressure in Pascal to pressure in atm is shown below:

P (Pa) = $\frac {1}{101325}$ P (atm)

Given the value of pressure = 43,836 Pa

So,  

$6897.51\ Pa$ = $\frac{6897.51}{101325}$ atm = 0.06807 atm

So,

$1\ lb/in^2=0.06807\ atm$

Given pressure value = $36\ lb/in^2$

Thus,

$36\ lb/in^2=36\times 0.06807\ atm=2.4497\ atm$