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Word Knowledge

After Kal's father revoked his allowance, he had no money for the movies.

rescind

To cancel by taking back.

Electronics Information

What is the voltage of most household electrical systems in the United States?

110V

Most households use electricity with a voltage of 110V.

Mechanical Comprehension

What defines the mechanical advantage of a first class lever?

position of the fulcrum

A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.

Automotive Information

Too much fuel results in a __________ air-fuel mixture that burns quicker and cooler.

rich

The stoichiometric ratio defines the proper ratio of air to fuel necessary so that an engine burns all fuel with no excess air. For gasoline fuel, the stoichiometric ratio is about 14.7:1 or for every one gram of fuel, 14.7 grams of air are required. Too much air results in a lean air-fuel mixture that burns more slowly and hotter while too much fuel results in a rich mixture that burns quicker and cooler.

Arithmetic Reasoning

What is $ \frac{1}{8} $ x $ \frac{1}{5} $?

$\frac{1}{40}$

To multiply fractions, multiply the numerators together and then multiply the denominators together:

$ \frac{1}{8} $ x $ \frac{1}{5} $ = $ \frac{1 x 1}{8 x 5} $ = $ \frac{1}{40} $ = $\frac{1}{40}$

Shop Information

Which of the following saws would you use if you're cutting wood along the grain?

ripsaw

The ripsaw delivers maximum efficiency at cutting with or along the grain (ripping).

General Science

-40°F is how many °C?

-40

The formula to convert from F° to C° is:

$C° = {5 \over 9} (F° - 32)$

plugging in our values gives:

$C° = {5 \over 9} (-40 - 32)$

$C° = {5 \over 9} (-72) = {{-72 \times 5} \over 9}$

$C° = {-360 \over 9}$

$C° = -40$

Mechanical Comprehension

Depending on where you apply effort and resistance, the wheel and axle can multiply:

force or speed

If you apply the resistance to the axle and the effort to the wheel, the wheel and axle will multiply force and if you apply the resistance to the wheel and the effort to the axle, it will multiply speed.

Mechanical Comprehension

What type of load doesn't create specific stress points or vary with time?

static uniformly distributed load

A concentrated load acts on a relatively small area of a structure, a static uniformly distributed load doesn't create specific stress points or vary with time, a dynamic load varies with time or affects a structure that experiences a high degree of movement, an impact load is sudden and for a relatively short duration and a non-uniformly distributed load creates different stresses at different locations on a structure.

Math Knowledge

$2$\frac{1}{2}$$

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?

2$\frac{1}{2}$

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 3) so the slope becomes:

m = $ \frac{\Delta y}{\Delta x} $ = $ \frac{(3.0) - (-7.0)}{(2) - (-2)} $ = $ \frac{10}{4} $
m = 2$\frac{1}{2}$