A group of students, performing the same \"Uniform Circular Motion\" experiment

Question

A group of students, performing the same "Uniform Circular Motion" experiment that you performed in lab, obtained the following results.

For this table, r is the distance from the center of rotation to the radius indicator (i.e., the post that marks the position of the center of the bob during rotation), mh is the total hanging mass (including the hanger), and t is the time required for 50 complete rotations.

(a) Use Excel to construct a spreadsheet that show the following. (You will not submit this spreadsheet. However, the results will be needed later in this problem.)

(b) Report this value below.
mass of the bob =  

r (m) mh (kg) t (s) 0.1825 0.07685 79.78 0.2430 0.11194 78.89 0.2610 0.12238 75.74 0.2980 0.14384 72.19 0.3425 0.16965 71.26 HINT

Explanation / Answer

acceleration (a) = v^2 / r

v = 50*2*r / t

=> a = 10000*2*r2 / (*t2*r)

=> a = 10000*2*r / t2

=> a = 98696*r / t2

e.g. for the first trial
a = 98696*0.1825 / (79.78)2 = 2.83 m/s^2

for the second trial
a = 98696*0.2430 / (78.89)2 = 3.85 m/s^2

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