If you understand how a gas gauge is supposed to work, then finding your problem will be much easier. Here is how most (AC) type electric gas Runtzgauges work. Two parts make up the fuel gauge system, the dash gauge, and the gas tank sender, located at the gas tank. Power to the dash gauge is received from the "switched" side of the ignition switch which means the dash gauge works ONLY when the ignition switch is in the ON position. There is a small counter weight located on the needle of the gauge which returns the gauge needle to the EMPTY position when the ignition key is in the off position.
With the ignition key in the ON position current flows from the ignition switch thru the small operating coil (located on the back of the dash gauge), on to a "CHOKE" coil. From there the current travels to a common terminal between the two coils. After the current reaches the common terminal between the coils the current travels back thru the operating coils, and then on to ground. At the same time current is also sent to the tank sender where current travels thru the sender unit and on to ground.
When the tank is empty the float will be near the bottom of the tank so most of the current is sent directly to the tank sender where it passes on to ground. As more fuel is placed in the tank the float is raised and more current is sent to the operating coil of the dash gauge causing the needle to move closer to the full mark. It is electrical friction (resistance) from the gas tank sender that guides the current to either the tank sender or the dash gauge.
37 miles per hour is the speed at which bugs begin sticking to the windshield instead of glancing off.