g8 - Kinetic Variables for Rotation Angular position (in...

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Unformatted text preview: Kinetic Variables for Rotation Angular position (in radians) Angular displacement = = 2 1 Angular velocity = / t (instantaneous a.v.: t ) Angular acceleration = / t (instantaneous a.a.: t ) c circlecopyrt L.Frommhold . p.27/27 Distance Travelled Along the Arc Rotation: distance travelled along the arc, = r where r is the radius of the circle; angles are expressed in rad units. (Tangential) velocity v = t = r t = r (Tangential) acceleration a = v t = r t = r c circlecopyrt L.Frommhold . p.26/27 Linear and Rotational Quantities c circlecopyrt L.Frommhold . p.25/27 Radial and Tangential Acceleration Centripetal (=center seeking) acceleration keeps particle P on circular path Tangential accel- eration (if present) accelerates particle speed Acceleration of P is the vector sum of radial and tangential accelerations. c circlecopyrt L.Frommhold . p.24/27 Rotational Speed Rotational speeds are commonly specified in units of revolutions per minute (or per second ), 1 rev / s = 2 rad / s Frequency of revolution f = 2 Duration of one complete revolution (period) T = 1 f c circlecopyrt L.Frommhold . p.23/27 Constant Angular Acceleration Kinematic equations for constant = + t v = v + at = t + 1 2 t 2 x = v + 1 2 at 2 2 = 2 + 2 v 2 = v 2 + 2 ax = + 2 v = v + v 2 Completely analogous to linear kinematic equations with constant acceleration c circlecopyrt L.Frommhold . p.22/27 Rolling Motion v = r c circlecopyrt L.Frommhold . p.21/27 How Forces Produce Rotation...
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g8 - Kinetic Variables for Rotation Angular position (in...

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