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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