angular velocity vs radius lab

 Rotational Kinematics of a Spinning Beam

 Analysis:


r = 0.06 m

    

r = 0.09 m

                        

r = 0.12 m

r = 0.15 m 

    

r = 0.18 m


Using the graphs we were able to determine the velocity by using the B value in and plugging it into the formula:


v=RW


and compile it into a data sheet:



Graph of Velocity vs Radius  &  Acceleration vs Radius:

so the velocity is linear to the radius , and acceleration is constant


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


Yes


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.

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