Introduction to Mathematics
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Questions and Answers

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

  • A tool for making predictions
  • The basic language (correct)
  • A way to collect data
  • A method for testing hypotheses
  • What is a characteristic of the language of mathematics?

  • It is only used in technology
  • It has a vague vocabulary
  • It is only used in science
  • It has an exact vocabulary (correct)
  • Why do scientists and engineers rely heavily on mathematics?

  • Because it is an exact language that follows definite rules (correct)
  • Because it is a simple language
  • Because it is a new language
  • Because it is a complex language
  • What is a benefit of using mathematics in science and technology?

    <p>It behaves in the same way every time</p> Signup and view all the answers

    What is the relationship between mathematics and the natural world?

    <p>Mathematics is used to describe the natural world</p> Signup and view all the answers

    What is the decimal equivalent of the binary number 1000001?

    <p>64</p> Signup and view all the answers

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

    <p>100</p> Signup and view all the answers

    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?

    <p>1050 RPM</p> Signup and view all the answers

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

    <p>Parentheses, Multiplication, Addition</p> Signup and view all the answers

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

    <p>10 inches</p> Signup and view all the answers

    What is the decimal equivalent of the binary number 1100011?

    <p>103</p> Signup and view all the answers

    What is the decimal equivalent of the binary number 1101110?

    <p>126</p> Signup and view all the answers

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

    <p>Parentheses, Exponents, Multiplication, Addition</p> Signup and view all the answers

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

    <p>240</p> Signup and view all the answers

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

    <p>21π</p> Signup and view all the answers

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

    <p>7</p> Signup and view all the answers

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

    <p>13</p> Signup and view all the answers

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

    <p>Fretting corrosion</p> Signup and view all the answers

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

    <p>Filiform corrosion</p> Signup and view all the answers

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

    <p>Magnesium</p> Signup and view all the answers

    What is required for corrosion to occur in a material?

    <p>Presence of a metal that will corrode, a dissimilar conductive metal, an electrolyte, and electrical contact</p> Signup and view all the answers

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

    <p>To prevent oxidation</p> Signup and view all the answers

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

    <p>Anode</p> Signup and view all the answers

    What is the basic unit of a chemical element?

    <p>Atom</p> Signup and view all the answers

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

    <p>Intergranular corrosion</p> Signup and view all the answers

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

    <p>It remains unchanged</p> Signup and view all the answers

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

    <p>Chemical corrosion</p> Signup and view all the answers

    What is the charge carried by a neutron?

    <p>No charge</p> Signup and view all the answers

    What is necessary for the formation of fretting corrosion?

    <p>Vibration or rubbing between surfaces</p> Signup and view all the answers

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

    <p>Shot-peen</p> Signup and view all the answers

    What can cause intergranular corrosion of aluminum alloys?

    <p>Delaying surface quenching</p> Signup and view all the answers

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

    <p>Tensile</p> Signup and view all the answers

    What is an atom with more electrons than protons called?

    <p>Negative ion</p> Signup and view all the answers

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

    <p>Exhaust stains</p> Signup and view all the answers

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

    <p>Hydrogen embrittlement</p> Signup and view all the answers

    What are the two most common types of naphtha?

    <p>Aliphatic and aromatic</p> Signup and view all the answers

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

    <p>Oxidation corrosion</p> Signup and view all the answers

    Where does metallic ion concentration cell corrosion typically form?

    <p>In open areas</p> Signup and view all the answers

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

    <p>Galvanic corrosion</p> Signup and view all the answers

    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.

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    Description

    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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