EIAT Forces, Torque, and Motion 4

Question 1

An elevator rope stretches 0.02 m under a load of 4,000 N. If the spring constant of the rope is k, what is k?

Accepted Answer

200,000 N/m

Answer

k = F / x = 4,000 / 0.02 = 200,000 N/m.

Question 2

An elevator car travels 30 m upward in 15 seconds at constant speed. What is its velocity?

Accepted Answer

2 m/s

Answer

Velocity = distance / time = 30 / 15 = 2 m/s.

Question 3

A 750 kg car is supported by a rope with 2:1 roping. What tension acts in each rope segment supporting the car?

Accepted Answer

3,675 N

Answer

With 2:1 roping, the car weight (750 × 9.8 = 7,350 N) is split across 2 rope segments: 7,350 / 2 = 3,675 N each.

Question 4

Which of the following increases the torque applied to a bolt without changing the applied force?

Accepted Answer

Using a longer wrench

Answer

Torque = Force × lever arm; a longer wrench increases the lever arm, increasing torque for the same force.

Question 5

A force of 200 N acts on an object at a 30° angle to the horizontal. What is the horizontal component of this force?

Accepted Answer

173 N

Answer

Horizontal component = 200 × cos 30° = 200 × 0.866 ≈ 173 N.

EIAT - Elevator Industry Aptitude Test Practice Test