ASVAB ASVAB Mechanical Comprehension Principles 5 — Questions and Answers
Question 1: Two meshed spur gears have 12 teeth and 48 teeth respectively. If the small gear turns at 400 RPM, how fast does the large gear turn?
- 25 RPM
- 50 RPM
- 100 RPM (Correct answer)
- 200 RPM
Correct answer: 100 RPM
Gear ratio = 12/48 = 1/4, so large gear speed = 400 × (12/48) = 100 RPM.
Question 2: A pipe narrows from 4-inch diameter to 2-inch diameter. Compared to the wider section, the fluid velocity in the narrow section is:
- The same
- Twice as fast
- Four times as fast (Correct answer)
- Half as fast
Correct answer: Four times as fast
The cross-sectional area decreases by a factor of 4 (radius halved), so by continuity, velocity increases 4 times.
Question 3: Which of the following is an example of a third-class lever?
- Wheelbarrow
- Seesaw
- Fishing rod (effort between fulcrum and load) (Correct answer)
- Crowbar
Correct answer: Fishing rod (effort between fulcrum and load)
In a third-class lever, the effort is applied between the fulcrum and the load, as in a fishing rod or tweezers.
Question 4: A coil spring is compressed to half its natural length. Compared to compressing it one-quarter of its natural length, the stored energy is:
- Twice as much
- Three times as much
- Four times as much (Correct answer)
- The same
Correct answer: Four times as much
Spring potential energy = ½kx²; doubling the compression (x) quadruples the stored energy.
Question 5: What is the primary purpose of a differential gear in a vehicle?
- To increase engine torque
- To allow drive wheels to rotate at different speeds during turns (Correct answer)
- To shift between gear ratios
- To engage and disengage the engine from the drivetrain
Correct answer: To allow drive wheels to rotate at different speeds during turns
The differential allows the outer wheel to rotate faster than the inner wheel when the vehicle turns a corner.
Question 6: A block on a frictionless inclined plane set at 30° will accelerate down the slope at approximately:
- 9.8 m/s²
- 4.9 m/s² (Correct answer)
- 8.5 m/s²
- 2.8 m/s²
Correct answer: 4.9 m/s²
Acceleration along a frictionless incline = g × sin(30°) = 9.8 × 0.5 = 4.9 m/s².
Question 7: A ratchet mechanism is designed to:
- Multiply force in one direction only
- Allow rotation in one direction while preventing reverse rotation (Correct answer)
- Convert rotary motion to linear motion
- Reduce gear backlash
Correct answer: Allow rotation in one direction while preventing reverse rotation
A ratchet uses a pawl that engages teeth to allow motion in one direction and lock against motion in the other.
Two meshed spur gears have 12 teeth and 48 teeth respectively.
If the small gear turns at 400 RPM, how fast does the large gear turn?