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Word Knowledge

Prune most nearly means:

trim

To reduce by removing excess.

Mechanical Comprehension

What's the first gear in a gear train called?

driver gear

A gear train is two or more gears linked together. Gear trains are designed to increase or reduce the speed or torque outpout of a rotating system or change the direction of its output. The first gear in the chain is called the driver and the last gear in the chain the driven gear with the gears between them called idler gears.

Mechanical Comprehension

Gear ratio indicates which of the following about two connected gears?

mechanical advantage

The mechanical advantage (amount of change in speed or torque) of connected gears is proportional to the number of teeth each gear has. Called gear ratio, it's the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. For example, a gear with 12 teeth connected to a gear with 9 teeth would have a gear ratio of 4:3.

Math Knowledge

Breaking apart a quadratic expression into a pair of binomials is called:

factoring

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

Electronics Information

If an electrical circuit is interrupted, which of the following will result?

open circuit

A closed circuit is a complete loop or path that electricity follows. It consists of a source of voltage, a load, and connective conductors. If the circuit is interrupted, if a wire is disconnected or cut for example, it becomes an open circuit and no electricity will flow.

Electronics Information

This circuit diagram represents a(n):

parallel circuit

In a parallel circuit, each load occupies a separate parallel path in the circuit and the input voltage is fully applied to each path. Unlike a series circuit where current (I) is the same at all points in the circuit, in a parallel circuit, voltage (V) is the same across each parallel branch of the circuit but current differs in each branch depending on the load (resistance) present.

Mechanical Comprehension

Force of friction due to kinetic friction is __________ the force of friction due to static friction.

the same as

The formula for force of friction (F_f) is the same whether kinetic or static friction applies: F_{f =}μF_N. To distinguish between kinetic and static friction, μ_k and μ_s are often used in place of μ.

Mechanical Comprehension

How much work can a 1 hp engine do in 3 seconds?

1650 ft⋅lb

Horsepower (hp) is a common measure of power output for complex machines. By definition, a 1 hp machine does 550 ft⋅lb of work in 1 second: 1 hp = 550 ft⋅lb/s. Substituting the variables for this problem gives us:
\( W = 1 hp \times 550 \frac{ft⋅lb}{s} \times 3s = 1650 ft⋅lb \)

Arithmetic Reasoning

a(b + c) = ab + ac defines which of the following?

distributive property for multiplication

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

Arithmetic Reasoning

How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?

13 vans

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.