Circular Motion

1. Newton's Second Law

1.1. F=MA

1.2. Net force and F Friction directed towards center of circle or oval

1.3. Force normal is upwards and gravity downwards

1.4. A=FNet/M

2. Clothoid Loops

2.1. Radius at bottom is a lot larger than at the top

2.2. The direction of acceleration varies at different points (normally towards center of circle that it is part of)

2.3. The force also varies in direction, but normally is directed towards center of circ.

3. In athletics...

3.1. All turns are part of a circle, no matter how sharp or gradual, and no matter the changing radii

3.2. Contact force: balances gravity and meets centripetal force requirement

3.3. Ice skater turning is a good example of the various directions of forces

4. Acceleration

4.1. Acceleration is directed inward!

4.2. The object doesn't move closer to the center of the circle though because of inertia and tangential velocity

5. Uniform Circular Motion

5.1. Constant speed, but not constant direction of velocity (direction is always changing, tangent to the circle)

5.2. Acceleration is directed towards the center of the circle

5.3. The net force is directed towards the center of the circle and that is why it moves in a circle and doesn't go in a straight line

6. Mathematics

6.1. Circle acceleration= V^2 / r

6.2. 4(pi^2)r / T^2

6.3. F=MA

6.4. A=V^2 / T

6.5. Net force= M x (V^2 / r)

7. Speed and Velocity

7.1. The average speed= distance/time

7.2. The average speed= circumference/time

7.3. C=2(pi)r

8. Centripetal Force Requirement

8.1. "F-Word"-- centrifugal- away from center/outward

8.2. The net force and acceleration are in the same direction

8.3. Therefore, there must be an inward force to cause inward acceleration