FCTC FCTC Mechanical Reasoning Principles Questions and Answers 2

Question 1

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?

Accepted Answer

50 RPM

Answer

Gear speed is inversely proportional to tooth count, so 100 × (20/40) = 50 RPM.

Question 2

Which type of lever has the fulcrum located between the effort and the load?

Accepted Answer

First-class lever

Answer

A first-class lever places the fulcrum between the effort force and the load, like a seesaw.

Question 3

A pipe with a diameter of 4 inches narrows to a diameter of 2 inches. How does the fluid velocity change?

Accepted Answer

It quadruples

Answer

By continuity, flow area decreases by a factor of 4 (radius squared), so velocity quadruples.

Question 4

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?

Accepted Answer

50 lb

Answer

Torque balance: 200 × 2 = effort × 8, so effort = 400/8 = 50 lb.

Question 5

Which simple machine consists of a grooved wheel with a rope or cable running along its groove?

Accepted Answer

Pulley

Answer

A pulley is a grooved wheel that redirects or multiplies force using a rope or cable.

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FCTC FCTC Mechanical Reasoning Principles Questions and Answers 2