28-Sep-2016: Lab 8 The Relationship Between Centripetal Force, Mass, Radius and Angular Velocity

1. Title: Lab 8 The Relationship Between Centripetal Force, Mass, Radius and Angular Velocity
    Name: Qiwen Ye (Sherry)
    Lab partners names: Jae Yoo, Chandler
    Date: 28-Sep-2016

2. Purpose
In this lab, we need to determine the relationship between centripetal force, distance, mass, and angular velocity.

3. Introduction
The centripetal force is the force that causes a body to move in a circle. For a body of mass m traveling with linear speed v and a distance r from the axis of rotation:

Because a body rotates a distance r from the axis of rotation with the tangential velocity v. If it rotation through an angle theta, its angular velocity (w) is given by:

Therefore, we used that equation to find the relationship between them.

4. Apparatus/Experimental procedure

In order to determine the rotational period of the disk, we used a piece of tape on the rim of the disk and passed through a photo gate to get the data. Placed the wireless accelerator on this disk. Verify the accelerometer reads 0 in the x-direction. Collected period and acceleration data for a variety of rotational speeds by LabPro. The picture shown:

5. Measured Data

6. Calculated Result

We recorded the time for 10 rotation in each case in order to find the angular velocity w:

7. Analysis

We kept two values of m, R, w^2 constant vary other one.

1) R and w^2 constant

F vs. mw^2

2) m and R constant

F vs. rw^2

3) m and R constant

F vs. w^2

8. Conclusion

Through three graphs we determined that when the mass of an object become bigger that it need more centripetal force to rotate. When the radius between moving point to the center getting larger, it also requires more centripetal force. If we get more angular velocity to an object, the object need more centripetal force to rotate.