1. Origins of Centripetal Force (Vertical Circle)

2. Example
Problem 1
A 65-kg pilot in an aircraft moving at a constant speed of 152m/s pulls out of a vertical dive along an arc of a circle of 1220 m radius. For the pilot find the centripetal acceleration, the centripetal force. What is the pilot's 'apparent weight' at the bottom of the dive?

3. Examples
Problem 2
What is the highest speed an automobile can have in traveling around a curve of radius 80 m on a level road if the coefficient of static friction between the tires and the road is ?

4. Examples
Problem 3
A ball weighing 1 N is attached to a string 2 meters long and is whirled in a vertical circle at a constant speed of 10 meters in a sec.
Determine the tension in the string when the ball is a) at the top of the circle; b) at the bottom.