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These are not the same dimension. Pounds force is a unit of force. PSI means pounds per square inch, which is a unit of pressure (force per unit area).

The word gage refers to the fact that a pressure gage measures the difference between the pressure on the inside of a container and the outside. Normal atmospheric pressure is about 14 psi, so if a container of compressed air (like the tires on your car) measures 10 psi with a gage, the absolute pressure inside the tire is 14 + 10 = 24 pounds per square inch.

The total force acting on a square inch of the tire material is 24 pounds - 10 pounds from the inside, and 14 pounds from the outside. Note, I approximated the 14 psi atmospheric. The actual at sea level is "14.something", I just couldn't remember the exact amount

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Q: How can pound force be converted into psi gage?
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