ASVAB Mechanical Comprehension Practice Test 15446 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1 If the green box weighs 45 lbs. and 65 lbs. of force is applied 5 ft. from the fulcrum at the blue arrow, how far from the fulcrum would the green box need to be placed to balance the lever?
55% Answer Correctly
7.22 ft.
28.89 ft.
2.41 ft.
14.44 ft.

Solution

To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.

Solving for da, our missing value, and plugging in our variables yields:

da = \( \frac{R_bd_b}{R_a} \) = \( \frac{65 lbs. \times 5 ft.}{45 lbs.} \) = \( \frac{325 ft⋅lb}{45 lbs.} \) = 7.22 ft.


2

Torque involves a perpendicular force applied to a lever arm that moves around a center of rotation. Increasing the length of the lever arm will do which of the following?

54% Answer Correctly

decrease applied force

increase torque

increase applied force

decrease torque


Solution

Torque measures force applied during rotation: τ = rF.  Torque (τ, the Greek letter tau) = the radius of the lever arm (r) multiplied by the force (F) applied. Radius is measured from the center of rotation or fulcrum to the point at which the perpendicular force is being applied. The resulting unit for torque is newton-meter (N-m) or foot-pound (ft-lb).


3

Tension is a force that does which of the following?

75% Answer Correctly

heats up an object

stretches an object

slows an object

compacts an object


Solution

Tension is a force that stretches or elongates something. When a cable or rope is used to pull an object, for example, it stretches internally as it accepts the weight that it's moving. Although tension is often treated as applying equally to all parts of a material, it's greater at the places where the material is under the most stress.


4

The standard unit of energy is the:

73% Answer Correctly

Horsepower

Watt

Volt

Joule


Solution

The Joule (J) is the standard unit of energy and has the unit \({kg \times m^2} \over s^2\).


5

A watt is the unit for which of the following?

71% Answer Correctly

work

energy

power

mechanical advantage


Solution

Power is the rate at which work is done, P = w/t, or work per unit time. The watt (W) is the unit for power and is equal to 1 joule (or newton-meter) per second. Horsepower (hp) is another familiar unit of power used primarily for rating internal combustion engines. 1 hp equals 746 watts.