x (cm)
-0.0656
0.0574
0.1663
0.2313
0.2325
0.1686
0.0504
y (cm)
Radius (cm)
0.2274
0.2367
0.2286
0.2357
0.1707
0.2383
0.0666
0.2407
-0.0576
0.2395
-0.1664
0.2369
-0.2291
0.2346
Average
0.2375
DX (cm)
DY (cm)
C (cm)
T (rad)
m
0.123
0.0012
0.123
0.526 14.5176095
0.1089
-0.0579
0.123
0.529
0.065
-0.1041
0.123
0.521
0.0012
-0.1242
0.124
0.522
-0.0639
-0.1088
0.126
0.533
-0.1182
-0.0627
0.134
0.573
Average
Average
0.126
0.534
Standard
error
0.002
0.008
Standard error
0.0008
The x and y positions were determined by using capstone and tracking the puck as it moved in a
circle. Capstone then, using its own coordinate system, gave us the coordinates of the puck as it
moves in cm. The radius of the determined by the equation √𝑋0 + 𝑌0 where 𝑋0 is the x
coordinate at that specific time and 𝑌0 is the y coordinate at that specific time. DY and DX as
determined by 𝑌𝑛+1 − 𝑌𝑛 and 𝑋𝑛+1 − 𝑋𝑛 respectively. C was calculated by using the equation
√𝐷𝑌 2 + 𝐷𝑋 2 . T was calculated by using the equation 𝐶𝑜𝑠 −1 (
𝐶 2 −2𝑅2
−2𝑅2
), where all the variables
have been previously calculated. M was calculated by using the equation
Mrθ2
g∆t2
, where M is the
mass of the puck, which was given to use (84.14g) and g is gravity (9.81). The rest of the
variables were previous calculated and used again in this equation (r,θ,∆t).
The mass of the weight was calculated to be 14.51±0.05g