FCTC Test Applying Mechanical Reasoning Questions and Answers 4

Question 1

A belt connects a small pulley (diameter 4 inches) to a large pulley (diameter 12 inches). If the small pulley turns at 900 RPM, what is the speed of the large pulley?

Accepted Answer

300 RPM

Answer

Belt-driven pulley speed is inversely proportional to diameter; 900 × (4/12) = 300 RPM.

Question 2

When water flows through a pipe that narrows from 4 inches to 2 inches in diameter, what happens to the water's velocity?

Accepted Answer

It quadruples

Answer

By the continuity equation, velocity is inversely proportional to cross-sectional area; halving the diameter reduces area by 4×, so velocity quadruples.

Question 3

A third-class lever has the effort applied between the fulcrum and the load. Which of the following is an example of a third-class lever?

Accepted Answer

Fishing rod

Answer

A fishing rod is a third-class lever — the hand grips near the fulcrum (base), effort is applied in the middle, and the load (fish) is at the tip.

Question 4

Two identical blocks are connected by a rope over a frictionless pulley. Block A is on a flat surface and Block B hangs off the edge. What will happen?

Accepted Answer

Block B falls and pulls Block A

Answer

Block B's weight creates an unbalanced downward force, causing it to fall and pull Block A horizontally toward the pulley.

Question 5

A screw has 20 threads per inch. How many full turns are needed to advance the screw 1 inch into a piece of wood?

Accepted Answer

20 turns

Answer

Each turn advances the screw one thread pitch; with 20 threads per inch, 20 full turns are needed to advance 1 inch.

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FCTC Test Applying Mechanical Reasoning Questions and Answers 4