FCTC Applying Mechanical Reasoning 3

Question 1

An inclined plane is 12 feet long and rises 3 feet. What is its mechanical advantage?

Accepted Answer

4

Answer

1

Answer

2

Answer

9

Question 2

A wheel and axle has a wheel radius of 18 inches and an axle radius of 3 inches. What is its mechanical advantage?

Accepted Answer

6

Answer

3

Answer

15

Answer

54

Question 3

Two pistons in a hydraulic system are connected. The smaller piston moves 10 inches downward. If the area ratio (large/small) is 5:1, how far does the large piston move?

Accepted Answer

2 in

Answer

0.5 in

Answer

5 in

Answer

50 in

Question 4

A pulley system is fixed to the ceiling (fixed pulley only). What does this arrangement provide?

Accepted Answer

Changes the direction of force only

Answer

Doubles the force applied

Answer

Quadruples the force applied

Answer

Reduces force by half

Question 5

Gear A (10 teeth) drives Gear B (30 teeth), which is on the same shaft as Gear C (10 teeth), which drives Gear D (30 teeth). What is the overall gear ratio from A to D?

Accepted Answer

9:1

Answer

3:1

Answer

6:1

Answer

12:1

Question 6

A wrench handle is 12 inches long. To loosen a bolt, a mechanic applies 30 lb of force perpendicular to the handle. What torque is applied?

Accepted Answer

30 ft-lb

Answer

2.5 ft-lb

Answer

42 ft-lb

Answer

360 ft-lb

Question 7

What is the primary purpose of a flywheel in an engine?

Accepted Answer

Store rotational energy to smooth out power strokes

Answer

Increase fuel efficiency

Answer

Cool the engine block

Answer

Reduce gear slippage