Slide 1

Slide 2

By Unknown

Slide 3

The Problem. A person on a horizontal rotating platform at a distance of 4.3 m from its center. This person experiences a centripetal acceleration of 5.6 m/s. What centripetal acceleration is experienced by another person who is at a distance of 2.5m from the center of the platform?

Slide 4

A quick pic of the scenario.

Slide 5

The acceleration of an object moving in a circle (in this case, riding a rotating platform) can be determined by this equation:

Slide 6

What is given..

Slide 7

Solving for v..

Slide 8

Now that we have the v..

Slide 9

Centripetal Acceleration: The acceleration required to keep an object moving in a circle, directed towards the center. The smaller the radius (distance from the center), the smaller amount of centripetal acceleration required to keep an object. The second person had a smaller radius than the first person (2.5 m), so the acceleration REQUIRED to keep him moving is smaller. However, both people are experiencing the same constant velocity, so it actually increases because of our formula.

Slide 10

Ever been on a carousel?

Slide 11

Conclusion: In a rotating circle.. Centripetal acceleration increases as the radius decreases. Velocity increases as radius increases.

Slide 12

The End