Ramsay Test Mechanical Reasoning 3

Question 1

Gear A has 20 teeth and drives Gear B which has 40 teeth. If Gear A rotates at 100 RPM, how fast does Gear B rotate?

Accepted Answer

50 RPM

Answer

When a smaller gear drives a larger gear, speed is reduced by the gear ratio: 100 × (20/40) = 50 RPM.

Question 2

A movable pulley system uses 3 pulleys to lift a 300 lb load. Ignoring friction, how much force must you pull with?

Accepted Answer

100 lb

Answer

A 3-pulley movable block and tackle has a mechanical advantage of 3, so required force = 300 ÷ 3 = 100 lb.

Question 3

Two springs are connected in series. Spring 1 has a constant of 20 lb/in and Spring 2 has a constant of 20 lb/in. What is the combined spring constant?

Accepted Answer

10 lb/in

Answer

Springs in series have a combined constant of 1/(1/k1 + 1/k2), so 1/(1/20 + 1/20) = 10 lb/in.

Question 4

In a hydraulic press, the input piston has an area of 2 sq in and the output piston has an area of 20 sq in. A 50 lb force on the input produces how much output force?

Accepted Answer

500 lb

Answer

By Pascal's principle, output force = input force × (output area / input area) = 50 × (20/2) = 500 lb.

Question 5

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

The cross-sectional area decreases by a factor of 4 (area ∝ diameter²), so velocity must increase by 4 to maintain flow continuity.

Ramsay Test Practice Test

Ramsay Test Practice Test

Ramsay Test Mechanical Reasoning 3