FCTC Mechanical Reasoning Principles Questions and Answers Flashcards
6 cards from real FCTC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 FCTC Mechanical Reasoning Principles Questions and Answers flashcards as text
A gear with 20 teeth meshes with a gear with 40 teeth. If the smaller gear rotates at 100 RPM, what is the speed of the larger gear?
Answer: 50 RPM
Gear speed is inversely proportional to tooth count, so 100 × (20/40) = 50 RPM.
Which type of lever has the fulcrum located between the effort and the load?
Answer: First-class lever
A first-class lever places the fulcrum between the effort force and the load, like a seesaw.
A pipe with a diameter of 4 inches narrows to a diameter of 2 inches. How does the fluid velocity change?
Answer: It quadruples
By continuity, flow area decreases by a factor of 4 (radius squared), so velocity quadruples.
A 200-lb load is placed on one end of a lever 10 feet long. If the fulcrum is 2 feet from the load, how much effort is needed at the other end to balance it?
Answer: 50 lb
Torque balance: 200 × 2 = effort × 8, so effort = 400/8 = 50 lb.
Which simple machine consists of a grooved wheel with a rope or cable running along its groove?
Answer: Pulley
A pulley is a grooved wheel that redirects or multiplies force using a rope or cable.
If you push a 50-lb box up a frictionless inclined plane 10 feet long that rises 2 feet, what force is required?
Answer: 10 lb
The mechanical advantage is 10/2 = 5, so required force = 50/5 = 10 lb.