Instructions
Complete the following questions related to the math involved in obtaining a Private Pilot License (PPL). Show your calculations where necessary.
1. Basic Flight Calculations
A plane is flying at an altitude of 10,000 feet. If it ascends at a rate of 500 feet per minute, how long will it take to reach an altitude of 15,000 feet? (Show your calculations)
2. Fuel Consumption
Your plane burns fuel at a rate of 8 gallons per hour. If you are planning a flight that takes 2.5 hours, how many gallons of fuel will you need for the trip?
3. Weight and Balance
The maximum weight capacity for your aircraft is 2,500 pounds. If the current weight of the aircraft without passengers is 1,800 pounds, what is the maximum weight of the passengers that can be added? (Show your calculations)
4. Ground Speed
If your plane travels at an airspeed of 120 knots and experiences a headwind of 20 knots, what will be your ground speed?
5. Navigation and Time
You have a flight plan that includes a distance of 150 nautical miles. If your ground speed is 100 knots, how long will the flight take? (Remember, 1 knot equals 1 nautical mile per hour)
6. Conversion of Units
Convert your altitude from feet to meters. (Use the conversion factor: 1 foot = 0.3048 meters. For example: 10,000 feet = ? meters)
7. Planning a Flight
You want to plan a round trip flight that will take 1.5 hours each way. If you need to refuel every 3 hours, will you need to plan for a fuel stop? Why or why not?