general/notes 8.1
TRANSCRIPT
![Page 1: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/1.jpg)
ROTATIONAL MOTION
Chapter 8
![Page 2: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/2.jpg)
Rotational Motion
• How can I utilize radians to measure revolutions?
• How do I describe and measure rotational motion?
![Page 3: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/3.jpg)
Measuring Revolutions
• Degrees: of a revolution
• Radian: of a revolution
• One complete revolution = 2 radians
![Page 4: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/4.jpg)
Radians
![Page 5: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/5.jpg)
Conversions• How many radians is ½ of a revolution?
• How many radians is of a revolution?
• How many degrees is ?
![Page 6: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/6.jpg)
Angular Displacement
• Theta () will be used to describe angular displacement
• Counterclockwise is positive
• Clockwise is negative
![Page 7: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/7.jpg)
Angular Displacement
• d = distance traveled
• r = distance from the center
• = angular displacement
![Page 8: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/8.jpg)
Example
• Lets say you are a gear in Mrs. Howell’s Windstar and you decide to loose two teeth on Highway K. The van limps along until the second broken tooth is reached. What is d between the two broken teeth?
• Theta is • Radius is 0.127 m
![Page 9: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/9.jpg)
Angular Velocity• How fast do gears, CDs, tires etc move?
• = omega = angular velocity
• Unit of measure is radians per second
• t = time
![Page 10: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/10.jpg)
Earth’s Angular Velocity
• If you sat in your chair now until the same time tomorrow, what would your angular velocity be?
![Page 11: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/11.jpg)
Homework•Work sheet
![Page 12: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/12.jpg)
Angular Acceleration• Symbol =
• Measured in rad/s2
![Page 13: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/13.jpg)
Rotational Motion
Quantity Linear Angular Relationship
DisplacementD
VelocityV
Accelerationa
d r
v r
a r
![Page 14: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/14.jpg)
Angular Frequency• Angular Frequency: How many revolutions are completed
in 1 sec
![Page 15: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/15.jpg)
Homework• Page 200• # 1 – 4
![Page 16: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/16.jpg)
Review• Page 200• # 5 – 10• Page 223• # 72 - 77
![Page 17: General/Notes 8.1](https://reader036.vdocuments.us/reader036/viewer/2022070315/554f4f00b4c905b9508b4c0f/html5/thumbnails/17.jpg)
Lesson Plan• Introduction: Brief intro to radians and angular motion• Day 1:
• Essential Question: slide 2• Input: slides 3, 4, 6, 7, 9• Guided Practice: slide 5, 8, 10• Independent Practice: slide 16
• Day 2:• Input: 12, 13, 14• Independent Practice: Page 200, # 1 – 4
• Day 3:• Review, Page 200 # 5 – 10 and Page 223, # 72 - 77 • Quiz