Question

Tire gauges for air pressure, as well as most other gauges used in an industrial environment take into account the pressure due to the atmosphere of the Earth. That's why your car gauge reads 0 before you put it on your tire to check your pressure. This is called gauge pressure.The real pressure within a tire or other object containing pressurized stuff would be a combination of what the gauge reads as well at the atmospheric pressure. If a gauge on a tire reads 9.58 psi, what is the real pressure in the tire in pascals? The atmospheric pressure is 1.01x105 Pa.

Answer 1

167061.8 Pa

Step-by-step explanation:

First, we need to convert 9.58 psi to pascal. Since 1 psi = 6894.76 Pa, we get:

`9.58\text{ psi}*\frac{6894.76\text{ pascal}}{1\text{ psi}}=66051.8\text{ Pa}`

So, the gauge pressure is 66051.8 Pa

Then, the real pressure is the sum of the gauge pressure and the atmospheric pressure, so

Real Pressure = 66051.8 Pa + 1.01 x 10⁵ Pa

Real Pressure = 167061.8 Pa

Therefore, the real pressure in the tire in pascals is 167061.8 Pa