FCTC FCTC Test Applying Mechanical Reasoning Questions and Answers 3

Question 1

A hydraulic jack uses a small piston of area 2 in² and a large piston of area 20 in². If you apply 50 lbs of force to the small piston, how much force does the large piston exert?

Accepted Answer

500 lbs

Answer

Pascal's Law: output force = input force × (large area / small area) = 50 × (20/2) = 500 lbs.

Question 2

Two gears mesh together. Gear A has 12 teeth and Gear B has 36 teeth. If Gear A rotates at 90 RPM, how fast does Gear B rotate?

Accepted Answer

30 RPM

Answer

Gear ratio: RPM_B = RPM_A × (teeth_A / teeth_B) = 90 × (12/36) = 30 RPM.

Question 3

A wrench is used to tighten a bolt. The wrench handle is 12 inches long and you apply 15 lbs of force. What is the torque applied to the bolt?

Accepted Answer

180 in-lbs

Answer

Torque = Force × Distance = 15 lbs × 12 inches = 180 in-lbs.

Question 4

Which type of structural beam best resists bending when loaded from above?

Accepted Answer

I-beam

Answer

I-beams concentrate material at the top and bottom flanges where bending stress is greatest, maximizing strength-to-weight ratio.

Question 5

A pulley system has 4 rope segments supporting the load. What force is required to lift a 200 lb weight, ignoring friction?

Accepted Answer

50 lbs

Answer

With 4 supporting rope segments, mechanical advantage = 4, so required force = 200 / 4 = 50 lbs.

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FCTC Test Practice Test

FCTC FCTC Test Applying Mechanical Reasoning Questions and Answers 3