EIAT and NEIEP Test EIAT Mechanical 2 — Questions and Answers
Question 1: A gear with 40 teeth meshes with a gear with 10 teeth. If the smaller gear rotates at 200 RPM, what is the speed of the larger gear?
- 800 RPM
- 50 RPM (Correct answer)
- 100 RPM
- 400 RPM
Correct answer: 50 RPM
Gear ratio = 10/40 = 1/4, so the larger gear turns at 200 × (10/40) = 50 RPM.
Question 2: Which type of pulley system provides a mechanical advantage of 3?
- A single fixed pulley
- Three fixed pulleys in line
- A block and tackle with 3 rope segments supporting the load (Correct answer)
- A single movable pulley with 3 ropes attached
Correct answer: A block and tackle with 3 rope segments supporting the load
Mechanical advantage in a block-and-tackle equals the number of rope segments supporting the moving block.
Question 3: A wrench applies 50 lb of force at 12 inches from the bolt center. What is the torque applied?
- 600 lb-in (Correct answer)
- 62 lb-in
- 4.17 lb-in
- 50 lb-in
Correct answer: 600 lb-in
Torque = Force × Distance = 50 lb × 12 in = 600 lb-in.
Question 4: An inclined plane is 10 feet long and rises 2 feet. A 500 lb crate is pushed up the ramp. Approximately how much force is required (ignoring friction)?
- 250 lb
- 100 lb (Correct answer)
- 500 lb
- 50 lb
Correct answer: 100 lb
Mechanical advantage = length/height = 10/2 = 5, so force = 500/5 = 100 lb.
Question 5: Two gears rotate in the same direction when:
- They mesh directly with each other
- An odd number of gears links them in a gear train
- An even number of gears links them in a gear train (Correct answer)
- Their diameters are equal
Correct answer: An even number of gears links them in a gear train
Each meshing pair reverses direction; an even number of intermediate gears results in the output rotating the same direction as the input.
Question 6: Which simple machine is essentially a circular lever?
- Pulley
- Inclined plane
- Wheel and axle (Correct answer)
- Wedge
Correct answer: Wheel and axle
A wheel and axle works like a lever rotating around a central fulcrum (the axle).
Question 7: A hydraulic jack has an input piston area of 2 sq in and an output piston area of 20 sq in. A force of 50 lb on the input produces how much output force?
- 5 lb
- 100 lb
- 500 lb (Correct answer)
- 1,000 lb
Correct answer: 500 lb
Pascal's Law: output force = input force × (output area / input area) = 50 × (20/2) = 500 lb.
A gear with 40 teeth meshes with a gear with 10 teeth.
If the smaller gear rotates at 200 RPM, what is the speed of the larger gear?