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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)PowerPoint Presentation

ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

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ET 4.1: Fill in as much of the unit circle as you can. (Degrees, Radians, Coordinates.)

I

II

III

IV

5

6

20

Convert from minutes to hours.

1

hrs.

1

40 min.

= 2/3 hrs.

60

min.

Initial Side

Terminal Side

1.57

3.14

Find coterminal angles to

Find the complement to

Find the supplement to

(.256)(60)

21

15.36

(.36)(60)

21.6

~22

Arc Length = Radius Angle measure

in radians

Find the angle in radians.

5

4

- Day 1: 7, 12, 13, 19, 21, 33, 39, 43, 47, 53, 55, 61, 65, 69, 73, 75, 81, 85, 89, 91
- Day 2: 8, 103, 104, 105, 107, 117

Circular Motion

Linear Speed: Object moving along a circle w/ radius r

s = distance object travels

t = time traveling

v = linear speed

Example: in/sec

Linear Speed:

= angular speed “omega”

r = radius of circular motion

v = linear speed (Don’t need radian label; it’s implied.)

Angular Speed: # of times object can go around per time.

= angular speed “omega”

= central angle measured in radians “theta”

t = time

Note:

Example: rev/min.

s = distance object travels

S =

t = time traveling

Time required to travel this distance would be one minute.

t = 1 minute = 60 seconds

A Ferris wheel with 50-foot radius makes 1.5 revolutions per minute. Find the angular speed of the Ferris wheel in radians per minute and the linear speed.

What is the label you are looking for?

1.5 rev/min is angular speed

S = distance object travels

S = 1.5 revolutions =

t = time to travel 1.5 rev

t = 1 minute

- Day 1: 7, 12, 13, 19, 21, 33, 39, 43, 47, 53, 55, 61, 65, 69, 73, 75, 81, 85, 89, 91
- Day 2: 8, 103, 104, 105, 107, 117