What is the area of a piston head 3 in in diameter?
Answer in in².
Show the answer
7.07 in²
A = π × r² = 3.1416 × 1.5² = 3.1416 × 2.25 = 7.07 in².
Reference: FAA-H-8083-30, Mathematics in Aviation Maintenance (area of a circle)
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Math physics practice questions
22 questions from the aviation mechanic general practice test.
Math physics practice test
10 questions, graded as you go, with the reason for every answer. No sign-up.
What this covers
- Physics: atmosphere
- Physics: motion
- Math: fractions
- Math: percentage
- Physics: work
- Math: area
- Math: ratio
- Physics: hydraulics
- Physics: temperature
- Physics: fluids
- Math: volume
- Math: right triangles
- Physics: gas laws
- Physics: power
Sample questions
A cylinder has a volume of 84 in³ with the piston at bottom center and 12 in³ with the piston at top center. What is the compression ratio, expressed as a number to 1?
Answer in :1.
Show the answer
7 :1
Compression ratio = volume at bottom center ÷ volume at top center = 84 ÷ 12 = 7, written 7:1.
Reference: FAA-H-8083-30, Mathematics in Aviation Maintenance (ratio)
A hydraulic actuator has a piston area of 4 in² and system pressure is 1,500 psi. What force does the piston produce?
Answer in lb.
Show the answer
6000 lb
Force = pressure × area = 1,500 psi × 4 in² = 6,000 lb.
Reference: FAA-H-8083-30, Physics for Aviation (fluid mechanics; Pascal's law)