Question

What is the pressure inside a tire in (N/mm^2) if a pressure gauge indicates 29.35 psi?

Answer 1

The pressure inside the tire is
`0.304(N)/(mm^(2))`

Step-by-step explanation:

The pressure gauge indicates the difference between the atmospheric pressure and the pressure inside the tire, so we have the following equation:

Pressure inside the tire = Gauge pressure + Atmospheric pressure

Where the gauge pressure is given in the problem and is 29.35psi and the atmospheric pressure is 14.7psi.

Replacing the values, we have:

Pressure inside the tire = 29.35psi + 14.7psi

Pressure inside the tire = 44.05psi

Now we have to convert from psi to
`(N)/(mm^(2))`, so:

44.05psi =
`44.05(lbf)/(in^(2))`

`44.05(lbf)/(in^(2))*((1in)/(25.4mm))^(2)*(4.4482N)/(lbf)=0.304(N)/(mm^(2))`