Physical Modeling, Fall Centripetal (or Radial) Acceleration The change of v can be in magnitude, direction, or both.

Physical Modeling, Fall Uniform Circular Motion

Physical Modeling, Fall Centripetal (or Radial) Acceleration

Physical Modeling, Fall Centripetal (or Radial) Acceleration

Physical Modeling, Fall Centripetal (or Radial) Acceleration

Physical Modeling, Fall FORCES IN CIRCULAR MOTION When an object travels in a circle, it accelerates toward the center of the circle. A force causes the acceleration.

Physical Modeling, Fall CIRCULAR ORBIT

Physical Modeling, Fall ANGULAR MOMENTUM OF A PARTICLE l = r  p l = rp sin  TORQUE  = r  F  = rF sin 

Physical Modeling, Fall ANGULAR MOMENTUM OF A PARTICLE l = r(p sin  ) = rp  l = p(r sin  ) = pr   = r (F sin  ) = rF   = F(r sin  ) = Fr 

Physical Modeling, Fall ANGULAR MOMENTUM OF A PARTICLE

Physical Modeling, Fall TORQUE

Physical Modeling, Fall ANGULAR MOMENTUM

Physical Modeling, Fall ANGULAR MOMENTUM OF A RIGID BODY L = I  I  m i r i ²

Physical Modeling, Fall NEWTON’S SECOND LAW FOR ROTATION