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Uniform Circular motion

Explore examples of circular motion and participate in an activity to understand the concepts of uniform circular motion. Discover the forces and velocities involved in circular motion.

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Uniform Circular motion

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  1. Uniform Circular motion

  2. Examples of Circular Motion • In each learning group, spend a couple of minutes talking to your neighbors discussing examples of circular motion. List as many possible situations you can think of for objects that go, or move in circles. • Then we’ll discuss some that you’ve come up with.

  3. Examples of circular motion include: • an artificial satellite orbiting the Earth at a constant height, a ceiling fan’s blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, Ferris wheels, clocks, spinning chairs, spinners, and a gear turning inside a mechanism are some. • Please know that for all of these examples the objects moving circularly all revolve around the center of the circle, as such the force of this motion is always directed toward the circles center around which the object spins.

  4. Circular Motion Activity Groups of 2-3 Plates and round masses Get supplies for the activity and complete the activity sheet. You will have ~10 minutes for this activity.

  5. Uniform Circular Motion Activity Review

  6. After your push, what is the force causing this circular motion? The normal force of the plate rim on the marble • In what direction is this force? The force is directed toward the center. • 5) What path does the marble take when it leaves the plate? PathB • 6) Does this agree with Newton’s 1st law of motion? Why/why not? Yes, Newton's First Law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force (the plate rim). • 7) What happens if you remove the force causing the marble to go in a circle? It may continue in a straight line (if obstacle is removed) or stop (due to its mass, and friction).

  7. V

  8. F V

  9. F V

  10. F V

  11. v * Centripetal Force * Tangential Velocity Fc “center seeking” The term for any force that pulls the object into a circular path The instantaneous velocity that is tangent to the circular motion Tangent: a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

  12. * Formula: vf a= Dv /t Dv = vf– v0 v0 -v0 vf Dv

  13. * Formulas for Uniform Circular Motion V * Centripetal Acceleration a = v2/r • Centripetal Force • Since F = ma • Fc = mv2/r Tangential Velocity Since V = d/t V = 2pr/T * F * Distance for 2pr is the circles circumference, the distance around it. The circumference would be the length of the circle if it were opened up and straightened out to a line segment. T is the Period, or the time it takes for an object to complete one trip around a circular path; measured in seconds (s). *

  14. What happens when the centripetal force is removed…

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