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Centripetal Acceleration in Circular Motion

Learn about centripetal (or radial) acceleration in uniform circular motion, forces affecting circular motion, angular momentum of particles, and Newton's second law for rotation. Explore the concepts of torque and angular momentum for both particles and rigid bodies. Improve your understanding of circular orbits through detailed explanations.

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Centripetal Acceleration in Circular Motion

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  1. Centripetal (or Radial) Acceleration • The change of v can be in magnitude, direction, or both.

  2. Uniform Circular Motion

  3. Centripetal (or Radial) Acceleration

  4. Centripetal (or Radial) Acceleration

  5. Centripetal (or Radial) Acceleration

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

  7. CIRCULAR ORBIT

  8. ANGULAR MOMENTUM OF A PARTICLE • l = r´p • l = rp sin f • TORQUE • t = r´F • t = rF sin f

  9. ANGULAR MOMENTUM OF A PARTICLE • l = r(p sin f) = rp^ • l = p(r sin f) = pr^ • t = r (F sin f) = rF^ • t = F(r sin f) = Fr^

  10. ANGULAR MOMENTUM OF A PARTICLE

  11. TORQUE

  12. ANGULAR MOMENTUM

  13. ANGULAR MOMENTUM OF A RIGID BODY • L = Iw • L = Iw • I = S miri²

  14. NEWTON’S SECOND LAW FOR ROTATION

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