Mathematics in Aviation Maintenance (CHAPTER 3) with Verified Solutions

Mathematics in Aviation Maintenance (CHAPTER 3) with Verified Solutions How do you convert inches to feet when measuring aircraft components? To convert inches to feet, divide the number of inches by 12. If a wing panel measures 72 inches long, how many feet long is it? The wing panel is 6 feet long (72 inches ÷ 12 = 6 feet). What is the formula for calculating the area of a rectangular aircraft component? The area is calculated by multiplying the length by the width (Area = Length × Width). If an aircraft component is 4 feet long and 2 feet wide, what is its area? The area is 8 square feet (4 feet × 2 feet = 8 square feet). Why is it important to measure the weight of aircraft components accurately? Accurate weight measurements are crucial for maintaining proper balance and ensuring safe flight operations. 2 If an aircraft weighs 3,500 pounds and you add an additional component weighing 250 pounds, what is the new weight of the aircraft? The new weight of the aircraft is 3,750 pounds (3,500 pounds + 250 pounds = 3,750 pounds). What is the significance of understanding fractions in aviation maintenance? Fractions are important for calculating and measuring parts, especially when dealing with small components or precise tolerances. How do you convert a fraction to a decimal? To convert a fraction to a decimal, divide the numerator by the denominator. If a repair requires 3/4 of a gallon of oil, how many gallons is that in decimal form? 3/4 of a gallon is 0.75 gallons (3 ÷ 4 = 0.75). What is the Pythagorean theorem, and how is it used in aviation maintenance? The Pythagorean theorem (a2 + b2 = c2) is used to calculate distances and ensure proper alignment of aircraft components. 3 If a right triangle has legs measuring 3 feet and 4 feet, what is the length of the hypotenuse? The hypotenuse is 5 feet (32 + 42 = 9 + 16 = 25; √25 = 5). Why is understanding percentages important in aviation maintenance? Percentages are important for calculating fuel loads, weight distribution, and evaluating performance metrics. If an aircraft's fuel capacity is 50 gallons and it is filled to 75%, how many gallons of fuel are in the tank? There are 37.5 gallons of fuel in the tank (50 gallons × 0.75 = 37.5 gallons). What does the term “margin of error” mean in the context of measurements in aviation maintenance? Margin of error refers to the range of possible values that indicates the uncertainty in a measurement, crucial for ensuring safety