GCAT Mechanical Reasoning Concepts 2

Question 1

A hydraulic press has an input piston with area 2 cm² and an output piston with area 20 cm². If you apply 50 N to the input, what force does the output produce?

Accepted Answer

500 N

Answer

100 N

Answer

250 N

Answer

1000 N

Question 2

Two gears mesh together. Gear A has 10 teeth and Gear B has 40 teeth. If Gear A rotates at 200 RPM, how fast does Gear B rotate?

Accepted Answer

50 RPM

Answer

800 RPM

Answer

100 RPM

Answer

40 RPM

Question 3

A block rests on a ramp inclined at 30°. Compared to lifting it straight up, the ramp requires approximately how much force (ignoring friction)?

Accepted Answer

Half the force

Answer

The same force

Answer

Twice the force

Answer

One-quarter the force

Question 4

Water flows through a pipe that narrows from a 4-inch diameter to a 2-inch diameter. What happens to the water's velocity in the narrow section?

Accepted Answer

It quadruples

Answer

It halves

Answer

It doubles

Answer

It stays the same

Question 5

A spring with a spring constant of 200 N/m is compressed by 0.05 m. How much elastic potential energy is stored?

Accepted Answer

0.25 J

Answer

0.10 J

Answer

5.0 J

Answer

10.0 J

Question 6

A wrench 30 cm long applies 60 N·m of torque to a bolt. What force is being applied to the end of the wrench?

Accepted Answer

200 N

Answer

2 N

Answer

0.5 N

Answer

1800 N

Question 7

A pulley system uses a single movable pulley. What is the mechanical advantage?

Accepted Answer

2

Answer

1

Answer

3

Answer

4