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Centripetal Motion

Centripetal Motion. Uniform Circular Motion. For an object moving in a circular path… If both the speed of an object and its radius remain constant it has uniform circular motion. The speed of the object remains constant but the velocity vector changes because its direction changes.

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Centripetal Motion

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  1. Centripetal Motion

  2. Uniform Circular Motion For an object moving in a circular path… • If both the speed of an object and its radius remain constant it has uniform circular motion.

  3. The speed of the object remains constant but the velocity vector changes because its direction changes. • Notice that the velocity vectors are perpendicular to the position vectors and are also tangential to the circle.

  4. If an object has a constant speed but is changing its direction, it is said to be accelerating. • Therefore, objects moving in a circle with uniform circular motion have centripetal acceleration.

  5. Centripetal Acceleration • The direction of the centripetal acceleration is always toward the centre of the circle

  6. Where ac is the centripetal acceleration (m/s2) v is the velocity (m/s) r is the radius of the circle (m)

  7. Ex. A car at the Daytona 500 can safely accelerate around a curve with an acceleration of 3g’s. If the curve has a radius of 15 m, how fast can the car take the corner?

  8. For objects where the speed is not known but the radius and period (time to complete one cycle) Where ac is the centripetal acceleration (m/s2) r is the radius (m) T is the period (s)

  9. Ex. Find the centripetal acceleration of a piece of lettuce on the inside of a salad spinner. The spinner has a diameter of 19.4 cm and is rotating at 780 rpm.

  10. For high rates of revolution, it is common to state the frequency rather than the period. The frequency is the number of cycles completed in 1 second. Where ac is the centripetal acceleration (m/s2) r is the radius (m) f is the frequency (Hz)

  11. Ex. Determine the frequency and period of an electric fan if a spot at the end of one fan blade is 15 cm from the centre and has a centripetal acceleration of 2.37 x 103 m/s2.

  12. Practice: p. 118 # 1 – 6; p. 119 # 1, 11

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