PPT-Circular motion Angular velocity

C 2 Π r Radius m Circumference m v d T Distance m Speed msec Period sec 2 Π r Review Whenever an object accelerates there must be a NET FORCE. Circular motion. We will be looking at a special case of kinematics and dynamics of objects in uniform circular motion (constant speed). Cars on a circular track (or on a curved road). Roller coasters in loop. 2.4.1 Draw a vector diagram to illustrate that the acceleration of a particle moving with constant speed in a circle is directed towards the centre of the circle.. 2.4.2 Apply the expression for centripetal acceleration. . express angular displacement in radians. . understand and use the concept of angular velocity to solve problems. . recall and use . v = r. ω. to solve problems. . describe qualitatively motion in a curved path due to a perpendicular force, and understand the centripetal acceleration in the case of uniform motion in a circle. . Rotational Kinematics. Axis of Rotation . When an object rotates, points on the object, such as . A. , . B. , or . C. , move on circular paths. The centers of the circles form a line that is the axis of rotation.. In this unit we will be investigating objects moving in a circular path about an axis.. We will see two types of motion:. Rotation. An object spinning on its own axis.. The axis of rotation is inside the object.. Angular Measure, Angular Speed,. and Angular Velocity. Bellwork. . 1. A tube is been placed upon the 1 m-high table and shaped into a three-quarters circle. A golf ball is pushed into the tube at one end at high speed. The ball rolls through the tube and exits at the opposite end. Describe the path of the golf ball as it exits the tube.. Lab make-up. : . Labs 1 - 3. .. - . at least 5 labs are required to pass the course;. - . contact your TA to arrange lab makeup ahead of time. You will need to attend twice: (1) for lab make-up; and (2) for review recitation. You can attend any other section (in addition to your regular section), with that section’s TA advance permission. . © 2016 Pearson Education, Inc.. Goals for Chapter 9 . To study angular velocity and angular acceleration.. To examine rotation with constant angular acceleration.. To understand the relationship between linear and angular quantities.. 5-1 Uniform Circular Motion. Uniform Circular Motion. : The motion of an object traveling at a constant (uniform) speed on a circular path. 5-1 Uniform Circular Motion. Since we are dealing with object moving in a circle, it is convenient to talk about the . Recap - Linear Motion Descriptors. Introducing Angular Motion. Angular motion is . the movement of a body (or a body part) in a circular path about an axis of rotation. .. Angular Motion and Force. Think…. Circular Motion and Linear Analogues. Recap. Yesterday, we verified that the circumference of a circle is the distance travelled in one rotation. That means: . We can extend this new knowledge to anything moving in a circle. The distance travelled in one rotation around the axis is equal to the circumference of the path taken…. Can you change your velocity while not changing your speed?. v. F. Consider the above situation.. According to Newton . S. econd law, what must the object be doing?. It is accelerating so the velocity must be changing.. Equations: . Angular displacement . ɵ = ɵ final - ɵ initial . ɵ = arc length (s) / r . 2. п. = 1 full revolution . 2. п. r = circumference . Angular velocity . ᾠ. = ɵ / t . Angular Acceleration . Uniform circular motion. What does the word “. uniform. ” mean here?. . constant radius. and . constant speed. . Velocity vector is tangent to the path at each instant, so direction of velocity vector changes all the time as the object moves in circle. .