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Math Review Homework 1. If a wing span is 35 feet and the chord is 5 feet, the aspect ratio is 2. The volume of a cylinder with the piston at the bottom of its stroke is 90 cubic inches With the piston at the top of its stroke, the volume is 18 cubic inches. The compression ratio is? 3. An engine is using an air/fuel mixture ration of 24:1 (24 parts of air to 1 part of fuel by weight). How many pounds of air would have to be taken into the engine to burn 1 gallon of gasoline? Gasoline weighs 6 pounds per gallon. Pounds 4. A pinion gear with 15 teeth is driving a spur gear with 33 teeth at 140 RPM. The speed of the pinion gear is 5. An airplane flying a distance of 900 miles uses 90 gallons of fuel. At this rate of fuel consumption, it will need gallons to fly 3,000 miles. 6. If a propeller turns a1% of the engine speed, how fast will the propeller be turning when the engine is turning at 2,200 RPM? 7. If a drive shaft turns 6 revolutions when the driven shaft turns 16 revolutions, what will be the speed of the driven shaft when the drive shaft is turning at 150 RPM? Driven shaft speed 8. If the maximum permissible landing weigh of an airplane is 6/8 of its permissible takeoff weight, what is the maximum takeoff weight when the maximum landing weight is 38,000 pounds? Maximum takeoff weight 9·The fuel for a certain two-cycle engine is mixed with a fuel/oil ration of 20:1. Since there are 128 ounces in 1 gallon, ounces of oil must be mixed with 1 gallon of gasoline. 10. Find the required percentage of each of these numbers: RPM. 2 RPM pounds a. I 5% of33
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