2012_1061_Lecture_Ch_10

# 2012_1061_Lecture_Ch_10 - Rotation Motion Chapter 10...

This preview shows pages 1–17. Sign up to view the full content.

Rotation Motion Chapter 10

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Angular Quantities Wheel rotating counter clockwise Each point P moves in a circular path by an angle theta l is the length P travels as the wheel rotates through the angle theta Make sure to use radians when calculating not degrees.
In three dimensions •Note the difference between the position of the point P and the distance of the point to the axis of rotation. •Points at different z position can have the same distance with respect to the axis of rotation

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Angular displacement (rad) Average angular velocity (rad/s) Instantaneous angular velocity (rad/s) To describe a rotational motion we make use of angular quantities .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Average angular acceleration (rad/s 2 ) Instantaneous acceleration (rad/s 2 ) Converting to the linear variables
Angular and Tangential Accelerations

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Defining the direction of the angular velocity and angular acceleration
Vector Nature of Angular Quantities Linear velocity is a vector Angular velocity is a pseudovector

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Constant Angular Acceleration Angular Linear
Centrifuge acceleration A centrifuge rotor is accelerated from rest to 20,000 rpm in 30 s. a ) What is its average angular acceleration? b) Through how many revolutions has the centrifuge rotor turned during its acceleration period, assuming constant acceleration a) The initial angular velocity is ,the final angular velocity is: b) Then since and

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Centrifuge Acceleration b) To find the angular displacement we can use We convert into revolutions
Torque (dynamics of rotation) For rotation we require a force applied at some distance from the axis of rotation (lever arm)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Force times the distance from its line of action to the axis of rotation defines the torque

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Torque on a compound wheel Two thin disk-shaped wheels, of radii R A = 30 cm and R B =50 cm are attached to each other on an axle that passes through the center of each. Calculate the net torque on this compound wheel due to the two forces shown, each of magnitude 50 N.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern