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. . Angular displacement, angular velocity, angular acceleration. Rotational energy. Moment of Inertia. Torque. Chapter 10:Rotation of a rigid object about a fixed axis. Reading assignment:. Chapter 10.1 to10.4, 10.5 (know concept of moment of inertia, don’t worry about integral calculation), 10.6 to . 5.1 . Uniform Circular Motion. DEFINITION OF UNIFORM CIRCULAR MOTION. Uniform circular motion is the motion of an object . traveling at a constant speed on a circular path.. 5.1 . Uniform Circular Motion. We’ve seen that the translational motion of a complicated object can be accounted for by the motion of the center of mass. Now, we turn to all the other motions with respect to coordinate system moving with the center of mass. Calculate angular speed in radians per second.. Calculate linear speed from angular speed and vice-versa.. Describe and calculate centripetal forces and accelerations. .. Motion . in Circles. We say an object . Circular Motion Lab Results. Part 1: Radius’ effect on velocity. Mass, centripetal force kept constant. Part 2: Mass’ effect on velocity. Radius, centripetal force kept constant. Part 3: Force’s effect on velocity. 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.. Ch 7:. Measuring Rotational Motion. ROTATIONAL MOTION. : Motion of a body that spins about an axis.. Ex: Ferris Wheel. Any point on a Ferris wheel that spins about a fixed axis undergoes circular motion.. Angular Motion.  .  .  .  .  .  . 1.  .  .  .  .  .  .  .  . End Slide.  .  .  .  .  .  .  .  .  . Angular Motion.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 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 . Key Concepts. For each translational motion quantity (position, velocity, acceleration, force, mass, momentum, . kinetic energy). there is a rotational quantity. Same equations apply. . Angular velocity (sign!) and . 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. . Rate of change of angular momentum.. Gyroscopic Couple.. Gyroscopic Couple effect in a ship.. Gyroscopic effect in a aero plane.. Angular momentum (L). Angular momentum . (L):. . If a circular disc rotating about an axis passing through center of disc and perpendicular to circular plane..