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Sample Practice Test Questions
If a = c = 4, b = d = 3, what is the area of this rectangle?
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 3
a = 12
I biome is made up of naturally occurring flora and fauna. Fauna is which of the following?
animals
A biome is a large naturally occurring community of flora (plants) and fauna (animals) occupying a major habitat (home or environment).
If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how much weight would need to be placed at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 8 ft.?
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for Rb, our missing value, and plugging in our variables yields:
Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{20 lbs. \times 1 ft.}{8 ft.} \) = \( \frac{20 ft⋅lb}{8 ft.} \) = 2.5 lbs.
Which of the following nuts provide appendages that allow tightening and loosening by hand?
wing
Wrenches are used with threaded fasteners like bolts and nuts. A bolt has external threads while a nut has internal threads and this thread pattern combination allows them to lock together and act as fasteners. Nuts come in a variety of configurations including wing nuts which provide appendages that allow tightening and loosening by hand, slotted nuts that use a cotter pin to lock the nut in place and prevent it from loosening, and lock nuts that also prevent loosening via nylon in their threads. Threads are identified by pitch which is the number of threads per inch.
A shovel is an example of which class of lever?
third
A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.
You need to secure a piece of wood while you're drilling a hole. Which of the following would be the most appropriate tool to use?
vise
A vise is a clamp that is anchored to a work station and designed to hold material in place while it is being operated upon.