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Introduction to Mathematics

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39 Questions

What is the primary role of mathematics in science and technology?

The basic language

What is a characteristic of the language of mathematics?

It has an exact vocabulary

Why do scientists and engineers rely heavily on mathematics?

Because it is an exact language that follows definite rules

What is a benefit of using mathematics in science and technology?

It behaves in the same way every time

What is the relationship between mathematics and the natural world?

Mathematics is used to describe the natural world

What is the decimal equivalent of the binary number 1000001?

64

What is the value of x in the equation x = (12+6) + (2) 2 + 9(14) √16?

100

If an engine has a 16:7 propeller gear ratio, what is the RPM of the propeller when the engine is turning at 2,400 RPM?

1050 RPM

What is the correct order of operations in an algebraic expression?

Parentheses, Multiplication, Addition

What is the value of side a in the right triangle with Angle A = 25°, Side C (hypotenuse) = 16 inches, and Side a = ?

10 inches

What is the decimal equivalent of the binary number 1100011?

103

What is the decimal equivalent of the binary number 1101110?

126

What is the correct order of operations when evaluating an algebraic expression?

Parentheses, Exponents, Multiplication, Addition

What is the value of x in the equation x = (12+6) + (2) 2 + 9(14) √16?

240

What is the circumference of a circle with a radius of 7 inches?

21π

If a shape has a circumference of 7 inches, what is its diameter?

7

In the right triangle with Angle A = 25°, Side C (hypotenuse) = 16 inches, what is the length of side a?

13

What type of corrosion is indicated by rivet 'smoking'?

Fretting corrosion

Which type of corrosion is usually caused by an improperly cured wash primer?

Filiform corrosion

Which metal is particularly vulnerable to corrosive attack from salt solutions?

Magnesium

What is required for corrosion to occur in a material?

Presence of a metal that will corrode, a dissimilar conductive metal, an electrolyte, and electrical contact

What is the purpose of the aluminum oxide film on the surface of aluminum alloys?

To prevent oxidation

In an electrochemical reaction, which part will be eaten away?

Anode

What is the basic unit of a chemical element?

Atom

What type of corrosion occurs along the grain boundaries within an aluminum alloy?

Intergranular corrosion

What is the role of the cathode in an electrochemical reaction?

It remains unchanged

What is the general classification of corrosion that involves the reaction between a metal and its environment?

Chemical corrosion

What is the charge carried by a neutron?

No charge

What is necessary for the formation of fretting corrosion?

Vibration or rubbing between surfaces

What process is used to help prevent stress corrosion in aluminum alloys?

Shot-peen

What can cause intergranular corrosion of aluminum alloys?

Delaying surface quenching

What type of stress can cause corrosion in the presence of a corrosive environment?

Tensile

What is an atom with more electrons than protons called?

Negative ion

What is the mixture of varsol and kerosene used to remove?

Exhaust stains

What type of embrittlement can result from the use of non-recommended cleaning compounds?

Hydrogen embrittlement

What are the two most common types of naphtha?

Aliphatic and aromatic

What type of corrosion occurs when a metal is exposed to oxygen?

Oxidation corrosion

Where does metallic ion concentration cell corrosion typically form?

In open areas

What type of corrosion occurs when two dissimilar metals are joined?

Galvanic corrosion

Study Notes

Corrosion Control

Types of Corrosion

  • Rivet "smoking" is an indication of fretting corrosion.
  • Filiform corrosion is usually caused by an improperly cured wash primer.
  • Magnesium is particularly vulnerable to corrosive attack from salt solutions.
  • Intergranular corrosion forms along the grain boundaries within an aluminum alloy.
  • Galvanic corrosion occurs when two dissimilar metals are joined in a structure.

Corrosion Formation Requirements

  • Presence of a metal that will corrode (anode).
  • Presence of a dissimilar conductive metal (cathode) with less tendency to corrode.
  • Presence of a conductive liquid electrolyte.
  • Electrical contact between the anode and cathode (usually metal to metal contact).

Electrochemical Reactions

  • In an electrochemical reaction, the anode is eaten away.
  • The basic unit of a chemical element is the atom, made up of a nucleus containing protons and neutrons, surrounded by spinning electrons.
  • Protons carry a positive electrical charge, neutrons carry no charge, and electrons carry a negative electrical charge.

Corrosion Prevention and Treatment

  • Aluminum alloys are protected from oxidation by the formation of an aluminum oxide film on its surface.
  • Delaying surface quenching during heat treatment can cause intergranular corrosion of aluminum alloys.
  • Shot-peen metal treatment is used to help prevent stress corrosion.
  • Stress corrosion may occur when the metal is subjected to tensile stress in the presence of a corrosive environment.

Cleaning and Chemicals

  • Stubborn exhaust stains may be removed with a 1:2 mixture of varsol and kerosene.
  • Use of non-recommended cleaning compounds can result in hydrogen embrittlement.
  • Aliphatic and aromatic are the two most common types of naphtha.

Corrosion Types and Characteristics

  • Oxidation corrosion forms when a metal like aluminum is exposed to a containing oxygen.
  • Metallic ion concentration cell corrosion forms in open areas.
  • Filiform corrosion is usually caused by an improperly cured wash primer.

Discover the basics of mathematics, the language of science and technology. Learn how math follows definite rules and is used as a tool by scientists and engineers.

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