Chapter Seven Notes - Chapter 7 Rotational Motion and the...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 7: Rotational Motion and the Law of Gravity I) Angular position: the angle   measured in radians θ A)  = s/r  Θ B) 2  radians = 360 π o II) Angular displacement: the difference in its final and initial angles ( Δ   ) Θ III) Angular speed ( ω A) Each point on a rotating disc undergoes the same angular displacement in any  given time interval B) ω avg  =  Δ Δ t Θ C) Instantaneous angular speed:   = lim  ω Δ t 0   Δ Δ t Θ D) When angular speed is constant the instantaneous angular speed is equal to the  average angular speed E)  is positive is   is increasing (counterclockwise) and negative when   is ω Θ Θ   decreasing (clockwise) IV) Angular acceleration ( α ) A) a avg =  Δ Δ t ω B) Positive angular accelerations are in counterclockwise direction and negative  angular accelerations in the clockwise direction C) Instantaneous angular acceleration:  a  = lim  Δ t 0   Δ Δ t ω D) When a rigid object rotates about a fixed axis every portion of the object has the  same angular acceleration V) Rotational motion about a fixed axis with rotational acceleration constant: A)  =  ω ω i  +  a t B) Δ  = Θ ω i t +  ½   a t 2 C) ω 2  =  ω i 2  + 2 a   Δ Θ VI) Angular variables are closely related to linear variables A)  = v/r ω B) Tangential speed of a point on a rotating object equals the distance of that point  from the axis of rotation multiplied by the angular speed 1) v t  = r  ω 2) The linear speed of a point on a rotating object increases as that point moves  outward from the center of rotation toward the rim, but every point on rotating 
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern