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Pre Calc > Chapter 7 > Flashcards

Chapter 7 Flashcards

1
Q

What is angular displacement?

A

𝑇h𝑒 π‘Žπ‘›π‘”π‘™π‘’ π‘’π‘ π‘’π‘Žπ‘™π‘™π‘¦ 𝑖𝑛 π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘›π‘  π‘œπ‘“

π‘ π‘œπ‘šπ‘’π‘‘h𝑖𝑛𝑔 π‘‘π‘Ÿπ‘Žπ‘£π‘’π‘™π‘–π‘›π‘” 𝑖𝑛 π‘Ž π‘π‘–π‘Ÿπ‘π‘’π‘™π‘Žπ‘Ÿ π‘π‘Žπ‘‘h. π΅π‘’π‘‘π‘‘π‘’π‘Ÿ π‘˜π‘›π‘œπ‘€π‘› π‘Žπ‘  πœƒ.

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2
Q

What is the formula for finding πœƒ?

A

rev * 2Ο€

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3
Q

What is Angular Velocity?

A

The speed of something traveling in a circular path

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4
Q

What is the formula for angular velocity?

A

πœ” = πœƒ/t

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5
Q

What is the name of greek letter πœ”?

A

Omega

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6
Q

What is linear velocity?

A

𝑇h𝑒 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘ π‘œπ‘šπ‘’π‘‘h𝑖𝑛𝑔 π‘‘π‘Ÿπ‘Žπ‘£π‘’π‘™π‘–π‘›π‘” 𝑖𝑛 π‘Ž π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘”h𝑑 π‘π‘Žπ‘‘h.

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7
Q

What is the formula for linear velocity?

A

v = r πœ”

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8
Q

What Is dimensional analysis?

A

πΆπ‘œπ‘›π‘£π‘’π‘Ÿπ‘‘π‘–π‘›π‘” 𝑒𝑛𝑖𝑑𝑠 π‘œπ‘“ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’ π‘“π‘Ÿπ‘œπ‘š π‘œπ‘›π‘’ 𝑒𝑛𝑖𝑑 π‘–π‘›π‘‘π‘œ π‘Žπ‘›π‘œπ‘‘hπ‘’π‘Ÿ 𝑒𝑛𝑖𝑑.

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9
Q

What is the law of cosines?

A 
π‘Ž2 = 𝑏2 + 𝑐2 βˆ’ 2𝑏𝑐 cos ∠𝐴 
𝑏2 = π‘Ž2 + 𝑐2 βˆ’ 2π‘Žπ‘ cos ∠𝐡 
𝑐2 = π‘Ž2 + 𝑏2 βˆ’ 2π‘Žπ‘ cos ∠𝐢
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10
Q

How do you find the semi perimeter?

A

𝑆 = 1/2 (π‘Ž + 𝑏 + 𝑐)

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11
Q

How can you find the area of a triangle using the semi perimeter?

A

π‘˜ = sqrt( 𝑠(𝑠 βˆ’ π‘Ž)(𝑠 βˆ’ 𝑏)(𝑠 βˆ’ 𝑐) )

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12
Q

What is the law of sines?

A

sin∠𝐴 / a
sin∠B / b
sin∠C / c

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13
Q

What is the formula for finding the area of a triangle with no right angle, knowing 1 side and all the angles?

A 
K = 1/2 * sqrd(a) * (sin∠B * sin∠C) / sin∠𝐴
K = 1/2 * sqrd(b) * (sin∠A * sin∠C) / sin∠B
K = 1/2 * sqrd(c) * (sin∠A* sin∠B)/sin∠C
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14
Q

How to solve sin x = 2/3

A

inverse (𝑠𝑖𝑛) 2/3 β‰ˆ 41.8Β°

x β‰ˆ 41.8Β°, 138.2Β°

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15
Q

How many solutions for A<90Β°, a<b></b>

A

no solution

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16
Q

How many solutions for A<90Β°, a<b></b>

A

1 solution

17
Q

How many solutions for A<90Β°, a<b>bsinA</b>

A

2 solutions

18
Q

How many solutions for A<90Β°and a3b

A

1 solution

19
Q

How many solutions for Aβ‰₯90Β°and a≀b

A

no solution

20
Q

how many solutions for Aβ‰₯90Β°and a>b

A

1 solution

21
Q

How to change degree measure to radian measure

A

degrees * Ο€/180

22
Q

How to change radian measure to degree measure

A

radians * 180/Ο€

Pre Calc (3 decks)

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