chapter 7 rotational motion & law of gravity section 7-2 tangential and centripetal acceleration
TRANSCRIPT
![Page 1: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/1.jpg)
Chapter 7Chapter 7 Rotational Motion & Law of Rotational Motion & Law of
GravityGravity
Section 7-2Section 7-2
Tangential and Centripetal Tangential and Centripetal AccelerationAcceleration
![Page 2: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/2.jpg)
Tangential SpeedTangential Speed
Objects in circular motion have Objects in circular motion have tangential speed.tangential speed.
Tangential SpeedTangential Speed of any point of any point rotating about an axis is rotating about an axis is instantaneous linear speedinstantaneous linear speed of that of that point.point.
![Page 3: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/3.jpg)
Example: Tangential SpeedExample: Tangential Speed
Horses on a carousel move at the Horses on a carousel move at the same same angular angular speedspeed but but differentdifferent tangential speedstangential speeds..
![Page 4: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/4.jpg)
![Page 5: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/5.jpg)
Tangential SpeedTangential Speed
Tangential Speed = distance from Tangential Speed = distance from axis x angular speed.axis x angular speed.
VVtt = r = r ωω
Where Where rr is Radius and is Radius and ωω is is instantaneous angular speed (speed instantaneous angular speed (speed at that moment)at that moment)
![Page 6: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/6.jpg)
Practice with Sample 7EPractice with Sample 7E
Pg. 255Pg. 255
![Page 7: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/7.jpg)
Tangential AccelerationTangential Acceleration
Tangential Acceleration is tangent to Tangential Acceleration is tangent to the circular path.the circular path.
Tangential acceleration = distance Tangential acceleration = distance from axis x angular accelerationfrom axis x angular acceleration
aatt = r = r αα
Where Where r r is Radius and is Radius and αα is is instantaneous angular acceleration.instantaneous angular acceleration.
![Page 8: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/8.jpg)
Practice with Sample 7FPractice with Sample 7F
Pg. 256Pg. 256
![Page 9: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/9.jpg)
Centripetal AccelerationCentripetal Acceleration
‘‘Center seekingCenter seeking’ acceleration.’ acceleration.
Circular motion Circular motion accelerationacceleration is due to is due to change in direction.change in direction.
![Page 10: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/10.jpg)
Example: Centripetal AccelerationExample: Centripetal Acceleration
Tangential and Centripetal accelerations Tangential and Centripetal accelerations are are perpendicular.perpendicular.
![Page 11: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/11.jpg)
Tangential Vs. Centripetal Tangential Vs. Centripetal AccelerationAcceleration
Tangential and Centripetal Tangential and Centripetal accelerations are accelerations are not the samenot the same..
TangentialTangential Component of acceleration Component of acceleration is due to is due to changing speed.changing speed.
Centripetal Centripetal component of acceleration component of acceleration is due to is due to changing direction.changing direction.
![Page 12: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/12.jpg)
Formula: Centripetal AccelerationFormula: Centripetal Acceleration
Centripetal Acceleration = Centripetal Acceleration = (tangential speed)(tangential speed)2 2 / distance from / distance from axisaxis
aacc = v = vtt22 / r / r
aacc = r = r ωω22
![Page 13: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/13.jpg)
Sample Problem 7GSample Problem 7G
Pg. 258Pg. 258
![Page 14: Chapter 7 Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration](https://reader035.vdocument.in/reader035/viewer/2022062217/56649e605503460f94b5a16f/html5/thumbnails/14.jpg)
AssignmentAssignment
Practice 7E pg. 255 2-4Practice 7E pg. 255 2-4 Practice 7F pg. 256 2-3Practice 7F pg. 256 2-3 Practice 7G 2-5Practice 7G 2-5
Eight problems Total!!Eight problems Total!!