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Circular Motion

Circular Motion. What is a circular motion ?. Motion along a circular path / arc. Uniform Circular Motion Circular motion with constant speed. Non-uniform Circular Motion Circular motion with changing speed. Circular Motion … Examples. Earth moving around the Sun

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Circular Motion

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  1. Circular Motion

  2. What is a circular motion ? • Motion along a circular path / arc. • Uniform Circular Motion • Circular motion with constant speed. • Non-uniform Circular Motion • Circular motion with changing speed

  3. Circular Motion … Examples • Earth moving around the Sun • Electron moving around a proton in a hydrogen atom. • Moving car in a roundabout. • Simple pendulum.

  4. Circular Motion … Periodic Motion Periodic Motion : Motion that repeat itself after a fixed time. Period : Time of one “cycle”.

  5. Is the ball accelerating ?

  6. When the string breaks . . . The string breaks at this position The object then moves along a straight line. Without tension the object moves in a straight line. Tension changes the direction of the object.

  7. Circular Motion … Accelerating Motion • Object moves along a circular path. • The direction of velocity is changing. • Changing velocity implies that the object accelerates.

  8. Centripetal Acceleration Magnitude : Direction : Towards the centre Q: Is the acceleration a constant?

  9. Centripetal Acceleration . . . Proof s

  10. Centripetal Acceleration . . . Proof s 

  11. Centripetal Force Centripetal Force • When an object moves in a circle, it must accelerates. • The acceleration directs toward the centre of the circle. • According to Newton’s 2nd law, there has to be a force to produce such acceleration • This force must point toward the centre of the circle (Centripetal Force)

  12. Circular Motion Centripetal Force Satellite in orbit around Earth Gravitational force of the Earth Car moving around a flat-curve Static frictional force Car moving around a banked-exit Static frictional force and normal force Toy-plane tied to a rope and moving in a circle Tension in the rope Astronaut in a rotating space station Normal force by the surface/floor Rider at a roller coaster weight and/or normal force Origin of Centripetal Force

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