Dynamics of Uniform Circular Motion Uniform Circular Motion Centripetal Acceleration Centripetal Force Satellites in Circular Orbits Vertical Circular Motion

 Uniform circular motion is the motion of an object traveling at a constant speed on a circular path  Period (T) is the time required to make one complete revolution  V = 2  r / T  Magnitude of the velocity vector is constant, however, the vector changes direction and is therefore accelerating. This is known as centripetal acceleration.

 Magnitude:  The centripetal acceleration can be calculated by the following A c = v 2 /r  Direction:  The centripetal acceleration vector always points toward the center of the circle and continually changes direction as the object moves. **The centripetal acceleration is smaller when the radius is larger  Pg 155 #1, 3, pg 156 #1, 5, 9

 Newton’s second law indicates that when an object accelerates there must be a net force to create the acceleration. The centripetal force points in the same direction as the acceleration (toward the center) and can be calculated as follows: F c = mv 2 /r  Name given to the net force required to keep an object of mass m, moving at speed v, on circular path of radius r.  Pg 155 #7, pg 156 #13, 15, 21

 There is only one speed that a satellite can have if the satellite is to remain in orbit with a fixed radius.  For a given orbit, a satellite with a large mass has exactly the same orbital speed as a satellite with a small mass.  See pg ex 9  Pg 155 #11, pg 158 #31, 33

 There are 4 points in a vertical circle where the centripetal force can be identified. The centripetal force is the net sum of all of the force components oriented/pointing toward the center of the circle. EX pg 151  Pg 155 #15, pg 158 #41, 43, 45, pg 159 # 59