FCTC Test Applying Mechanical Reasoning 1

Question 1

A hydraulic press has a small piston with an area of 4 square inches and a large piston with an area of 20 square inches.
If you apply 80 lbs of force to the small piston, how much force does the large piston exert?

Accepted Answer

400 lbs

Answer

80 lbs

Answer

160 lbs

Answer

16 lbs

Question 2

A worker pushes a 300-lb crate up a smooth ramp that is 9 feet long and 3 feet high. Ignoring friction, how much force is required?

Accepted Answer

100 lbs

Answer

300 lbs

Answer

150 lbs

Answer

900 lbs

Question 3

A driving pulley with a 6-inch diameter rotates at 120 RPM and is connected by a belt to a driven pulley with an 18-inch diameter. What is the speed of the driven pulley?

Accepted Answer

40 RPM

Answer

360 RPM

Answer

120 RPM

Answer

60 RPM

Question 4

In a class 3 lever, the effort is applied between the fulcrum and the load. If the effort arm is 2 feet and the load arm is 6 feet, what is the mechanical advantage?

Accepted Answer

0.33

Answer

3

Answer

12

Answer

1

Question 5

Two identical springs, each with a spring constant of 20 lbs/inch, are connected side by side (in parallel) and compressed together. What is the combined spring constant of the system?

Accepted Answer

40 lbs/inch

Answer

10 lbs/inch

Answer

20 lbs/inch

Answer

400 lbs/inch

Question 6

A wheel and axle system has a wheel with a radius of 18 inches and an axle with a radius of 3 inches. If a 10-lb force is applied at the wheel's rim, how much weight can the axle lift?

Accepted Answer

60 lbs

Answer

10 lbs

Answer

30 lbs

Answer

180 lbs