With 38 gallons of fuel at a cruise altitude of 7,500 feet and 2,700 RPM, what would be the aircraft's fuel range?

To determine the aircraft’s fuel range, we need to consider both the fuel consumption rate at the specified conditions and the total fuel available. Assuming we have the fuel burn rate at 7,500 feet and at 2,700 RPM, we can establish how long the aircraft will fly with 38 gallons of fuel.

The first step is to find the fuel consumption rate, typically measured in gallons per hour. For instance, if the aircraft burns fuel at a rate of 10 gallons per hour at the given altitude and RPM, you would use the formula to calculate the flight time:

Flight Time (hours) = Total Fuel (gallons) / Fuel Burn Rate (gallons per hour).

Using the example of a burn rate of 10 gallons per hour:

Flight Time = 38 gallons / 10 gallons per hour = 3.8 hours.

Next, to find the range, you multiply the flight time by the ground speed (i.e., the speed of the aircraft relative to the ground). If the aircraft's ground speed at these conditions is approximately 160 knots (which is a realistic figure for a small aircraft under such conditions):

Range (nautical miles) = Ground Speed (knots) × Flight Time