Chap 4c - Circular Motion Flashcards

1
Q

CM stands for ____ ____

AND

LM stands for ____ ____

A

Circular Motion

AND

Linear Motion

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2
Q

It is easy to memorize the CM equations because they are exactly parallel to the _____________.

A

Linear Motion Equations

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3
Q

In linear motion, position is “x.” In CM angular position is_

A

theta

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4
Q

All points on a rotating wheel will have the same ________

A

Angular Velocity (they would also have the same angular acceleration, if any)

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5
Q

What is the difference between a positive and a negative angular velocity?

A

The direction the particle is travelling around the circle.

counterclockwise = positive.

clockwise = negative

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6
Q

angular position

A

The angle of a particle from the positive x-axis

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7
Q

The area under an angular acceleration graph is_

A

The change in angular velocity.

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8
Q
A
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9
Q

v “ in LM

is like ___ in CM

A

omega

(angular velocity)

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10
Q

In circular motion, the symbol we will use to represent the period.

A
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11
Q

The slope of an angular velocity vs. time graph is_.

A

The angular acceleration

(alpha)

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12
Q

The equation below is for LM. What is the analogous equation for CM

A
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13
Q

“a” in LM

is like ____ in CM

A

alpha

(angular acceleration)

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14
Q

In CM,

A
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15
Q
A
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16
Q

Uniform circular motion

A

Moving at a constant speed around a circle of radius “r”

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17
Q

The equation below is for LM. What is the analogous equation for CM

A
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18
Q

What is the Greek symbol for Omega?

A
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19
Q
A
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20
Q
A
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21
Q
A
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22
Q
A
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23
Q

tangential acceleration

A

the acceleration parallel to the velocity of an object travelling in a circular path.

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24
Q
A
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25
Q
A

angular velocity

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26
Q

One radian is approximately ______ degrees.

A

60 degrees

(57.296)

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27
Q

The area under an angular velocity graph is_

A

The change in angular position.

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28
Q
A
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29
Q
A
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30
Q
A
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31
Q

LM to CM

A
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32
Q
A
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33
Q

By convention, which way around a circle is typically considered positive?

A

Counterclockwise

34
Q
A
35
Q

How many radians are there in one full revolution

A

There are 2π radians in one full revolution.

36
Q

Nonuniform circular motion

A

Circular motion with a changing speed.

37
Q
A
38
Q

centripetal acceleration

A

acceleration perpendicular to the motion of an object and toward the center of a circular path.

39
Q

A negative angular acceleration could mean speeding up in the clockwise direction or_.

A

Slowing down in the counter clockwise direction.

40
Q
A
41
Q
A
42
Q

The slope of an angular position vs. time graph is_

A

The angular velocity.

43
Q
A
44
Q
A
45
Q
A
46
Q
A
47
Q

In circular motion, the velocity of the particle is always _______ to the circle.

A

Tangent

48
Q

radial acceleration is also known as

A

centripetal acceleration

49
Q
A
50
Q
A
51
Q

The time required for a particle to make one complete trip around the circle is called a…

A

Period

52
Q
A
53
Q

LM to CM

A
54
Q
A
55
Q
A
56
Q

crankshaft

A

a rotating rod in the engine of a car.

(Actually, its a bit more complicated than this, but all you need to know is that it is a rod and it rotates)

57
Q

The rate at which a particle’s angular position is changing as it moves around a circle.

A

Angular Velocity

58
Q

Delta Theta divided by Delta T =

A

average angular velocity

59
Q

In circular motion, the angle measured between a particles starting position and ending position is called_

A

Angular displacement (delta theta)

60
Q
A
61
Q

There is one equation that is pretty much responsible for why we use “radians” instead of degrees. What is it?

A

(In the equation below, “s” is just a measure of the distance you travel around the edge of a circle.)

62
Q

A particle is in _________ if an only if its angular velocity is constant and unchanging.

A

Uniform Circular Motion

63
Q
A
64
Q
A
65
Q
A
66
Q

rpm

A

revolutions per minute

67
Q
A
68
Q
A
69
Q

For the equation below to work, the angle must be measured in ___________

A

radians.

70
Q

Points on a rotating wheel can have different_

A

Tangential velocities (they might also have different tangential accelerations)

71
Q
A
72
Q
A
73
Q

LM to CM

A

alpha

74
Q

The equation below is for LM. What is the analogous equation for CM

A
75
Q
A
76
Q

A positive angular acceleration could mean speeding up in the counter clockwise direction or_.

A

Slowing down in the clockwise direction.

77
Q

What is a “degree,” and who invented them?

A

A degree is 1/360th of the way around a circle. You can thank the Babylonians for this.

(The numbers 6 and 60 had religious significance, and 6 x 60 = 360, so…. you know that’s pretty neat)

78
Q

What are radians?

A

A radian is the angle swept out by an arc that has a length equal to the radiius of the circle.

It is neat because it makes sense.

79
Q

Why do we use radians?

A

All the math works out easily when you use radians.

80
Q

Why don’t we use “degrees” in circular motion?

A

If you try to use degrees in circular motion, you end up having to multiply stuff by 2π/360 all the time to make it work. It gets kind of old.

Remember, degrees don’t really mean anything. I guess they did to the Babylonians, but they are dead now.

81
Q

Radial Acceleration is also known as:

ar

A

Centripital Acceleration

ac

82
Q

In uniform circular motion, the force applied is always…

A

**perpendicular to the direction the object is moving. **

(and toward the center of the circle)