Uniform Circular Motion LAB

For our class, we have generated class data.  
Please use the PRINTED OUT graphs passed out during class time for your write up.
You should analyze BOTH graphs even though your group contributed data for only one of the two. 

ORBITAL MOTION LAB: Class data set version

An equation that describes uniform circular motion does so in terms of centripetal force,

a_c=v²/r

where v is orbital speed and r is the radius of orbit.  This equation can also be expressed in terms of the circumference (2pr) of the orbital period (T).

a_c=(4pi²r)/T²

Using the class set of data below, can you verify these two important mathematical relationships that characterize centripetal acceleration?

QUESTION #1: Can you show that a_c is directly proportional to r?  

Is that proportion similar to this equation? a_c=(4pi²r)/T²

QUESTION #2: Can you show that a_c is inversely proportional to T²?

Write a caption under each graph. 

Write a conclusion answering the two questions above.

Include a BRIEF description of your methods AND an analysis of sources of error in your conclusion.