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

Info iconThis 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 / Δt Θ C) Instantaneous angular speed:   = lim  ω Δt 0  Δ / Δt 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 / Δt ω B) Positive angular accelerations are in counterclockwise direction and negative  angular accelerations in the clockwise direction C) Instantaneous angular acceleration:  a  = lim  Δt 0  Δ / Δt 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 
Background image of page 1

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

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

This note was uploaded on 04/02/2008 for the course PHY 231 taught by Professor Smith during the Fall '08 term at Michigan State University.

Page1 / 4

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online