Rotational Kinematics of a Spinning Beam

 Analysis:

For r = 0.06 m

   

For r = 0.09 m

                        

For r = 0.12 m

For r = 0.15 m 

    

For r = 0.18 m

Using the graphs we were able to determine the velocity by using the formula:

Now, we can compile all of our data into one table:

Graph of Velocity vs Radius  &  Acceleration vs Radius:

1. Use the velocity components to determine the direction of the velocity vector. Is it in the expected direction? 

Yes, the velocity vector is in the expected direction.

2. Analyze enough different points in the same video to make a graph of speed of a point as a function of distance from the axis of rotation. What quantity does the slope of this graph represent?

The slope of this graph represents the angular velocity.

3. Calculate the acceleration of each point and graph the acceleration as a function of the distance from the axis of rotation. What quantity does the slope of this graph represent? 

The slope of this graph represents the angular acceleration.

Conclusion:

How do your results compare to your predictions?

Our group thought that the Velocity vs Radius graph would be positive and linear, and that the Acceleration vs Radius graph would be positive and constant. So, yes our predictions do match the results from the lab.