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Electronics Information

This circuit component symbol represents a(n):

AC source

In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.

Arithmetic Reasoning

What is \( \frac{28\sqrt{35}}{4\sqrt{5}} \)?

7 \( \sqrt{7} \)

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{28\sqrt{35}}{4\sqrt{5}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{35}{5}} \)
7 \( \sqrt{7} \)

General Science

Elements in the same group in the Periodic Table of the Elements have the same:

number of electrons in their outer electron shell

The columns of the Periodic Table are called groups and all elements in a group have the same number of electrons in their outer electron shell. The group that an element occupies generally determines its chemical properties as the number of outer shell electrons establishes the way it reacts with other elements to form molecules. So, because each element has the same number of electrons in its outer shell, each has similar reactivity.

Mechanical Comprehension

What is the power output of a 9 hp engine that's 85% efficient?

4207.5 \( \frac{ft⋅lb}{s} \)

\( Efficiency = \frac{Power_{out}}{Power_{in}} \times 100 \)
Solving for power out: \( P_{o} = \frac{E \times P_{i}}{100} \)
Knowing that 1 hp = 550 \( \frac{ft⋅lb}{s} \), P_i becomes 9 hp x 550 \( \frac{ft⋅lb}{s} \) = 4950 \( \frac{ft⋅lb}{s} \)
\( P_{o} = \frac{E \times P_{i}}{100} = \frac{85 \times 4950 \frac{ft⋅lb}{s}}{100} \) \( = \frac{420750 \frac{ft⋅lb}{s}}{100} \) = 4207.5 \( \frac{ft⋅lb}{s} \)

Electronics Information

Inductance is a factor in which of the following?

an AC circuit

Inductance is a property of an AC circuit (or a component in an AC circuit) that quantifies resistance to changes in current. The current in an AC circuit is continuously changing and inductive reactance (the opposition to change) depends both on the inductance of the circuit or component and the rate at which the current is changing.

General Science

The brain and spinal cord make up the __________ nervous system.

central

The nervous system consists of the brain and spinal cord (central nervous system) and the peripheral nervous system which is the network of nerve cells (neurons) that collect and distribute signals from the central nervous system throughout the body.

Word Knowledge

Cunning most nearly means:

crafty

Showing clever insight.

Shop Information

Which of the following is not an advantage of using a ratchet with a larger point-sized socket?

larger point sizes allow easier alignment

A ratchet (or socket wrench) is a wrench that applies torque in only one direction with a handle that can be moved back and forth without losing contact with the fastener. A ratchet uses variable attachments called sockets which come in a variety of drive sizes based on the size of the opening that attaches to the ratchet. Sockets with the same drive size will vary in the shape (six-point, twelve-point) and size of the nut opening that attaches to the fastener being tightened or loosened. Smaller point sized sockets are stronger and can apply greater torque while larger point sizes allow easier alignment.

Mechanical Comprehension

If you have a gear train with three gears, the first with 24 teeth, the second with 16 teeth, and the third with 4 teeth, what is its mechanical advantage?

The mechanical advantage of a gear train is its gear ratio. The gear ratio (V_r) is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:

V_r = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)

In this problem, we have three gears so the equation becomes:

V_r = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) = \( \frac{24}{16} \) \( \frac{16}{4} \) = \( \frac{24}{4} \) = 6

General Science

An element in the physical state of __________ maintains a constant volume and shape.

solid

An element in a solid state has atoms or molecules that are constricted and do not move freely. Solids maintain a constant volume and shape and exist at a lower temperature than liquids or gases.