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    Applied Math

    Review - Formulas

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    Formulas

    Formulas are mathematical tools used to

    solve a specific problem:

    2227.1t

    rL cb

    d

    s

    2

    4

    VolumeCylinderVolumeChamberVolumeCylinderRationCompressio

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    Skills Required

    Skill you will need: Understand Math Notation and Symbols

    Solve Multi-operation Problems (Order of

    Operations) How to Use Calculator

    Read and set up formulas

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    Math Notation

    Multiplication, Exponents, Roots

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    Multiplication

    Multiply: x

    Instead:

    5 3

    ( ) 5(3) (5)(3) (5)3

    Position 57 2.378 d

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    Exponents

    Exponents: Shorthand notation for

    repeated multiplication

    5 x 5 x 5 x 5

    54

    73

    Base

    Exponent4 factors

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    Exponents on your calculator

    Use your calculator to evaluate the following:

    54

    73

    62

    Vxy

    yx2x

    = 625

    = 343

    = 36

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    Roots

    9

    9??

    3

    38

    8???

    2

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    Roots on your calculator

    Square Root Key:

    5.45

    5.45

    5.45

    75.6

    75.6

    D.A.L

    Standard

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    Roots on your calculator

    Cube Root Key:3

    3 72

    372

    72

    16.4SHIFT

    SHIFT 3 16.4

    D.A.L

    Standard

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    More Calculator Skills

    Order of Operations

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    Order of Operations

    7 + 4 x 5

    Answer: 27

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    The Order of Operations

    Order of Operations

    1. Parentheses

    2. Powers & Roots

    3. Multiplications & Divisions (left to right)

    4. Additions and Subtractions (left to right)

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    Examples

    15 + 3 x 4 =

    15 + 12

    27

    7 x 8 2 x 5 =

    56-10

    46

    20 18 3 = 20 6

    14

    1. Parentheses2. Powers & Roots3. Multiplications & Divisions (left to

    right)4. Additions and Subtractions (left to

    right)

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    Examples

    14 23

    14 8

    6

    33+ 24 4

    27 + 6 33

    1. Parentheses2. Powers & Roots3. Multiplications & Divisions (left to

    right)4. Additions and Subtractions (left to

    right)

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    Examples

    64325

    8325

    2425

    1

    1. Parentheses2. Powers & Roots3. Multiplications & Divisions (left to

    right)4. Additions and Subtractions (left to

    right)

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    Examples

    (14 5) x 5

    9 x 5

    45

    (13 + 2)(25 3)

    15(22)

    330

    1. Parentheses2. Powers & Roots3. Multiplications & Divisions (left to

    right)4. Additions and Subtractions (left to

    right)

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    Examples

    3)14(40

    3)3(40

    2740

    13

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    Examples

    39

    48

    3948 2

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    Examples

    1723

    178

    25

    5

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    Introduction to Formulas

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    Formulas Purpose

    Roadholding (Lateral

    acceleration)2

    227.1t

    rL

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    2227.1

    t

    rL

    Formulas Information Required

    Radius of skid pad (infeet) & Time for one lap

    around pad (in seconds).

    radius

    seconds

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    2227.1

    t

    rL

    Formulas Math Required to Solve

    Squaring, division,

    and multiplication.

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    Using a Formula

    Data from 2008 Porsche 911 GT3 RS(C&D Oct 2007)

    Skid Pad Diameter: 200 ft

    Best Lap Time: 11.13 seconds

    Lateral Acceleration = __________

    2227.1

    t

    rL

    213.11100

    227.1 L8769.123

    100227.1 L 80725.0227.1 L 99.0L

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    Other Formula Issues

    Percents

    I = PRT

    symbol

    C = d

    Mixed units of measure

    A = LW

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    Practice

    Complete:

    Review of Calculator Skills & Formulas

    Usage Worksheet

    Formula Applications Worksheet