5. Use whatever software you choose to plot speed squared vs radius, and find the best-fit line to the data. Print your seatter plot and best fit line. (it should include the individual data points and the best-fit line).

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Plotting the Data and Determining us
5. Use whatever software you choose to plot speed squared vs radius, and find the best-fit line to
the data. Print your scatter plot and best fit line. (it should include the individual data points and
the best-fit line).
ods wol Uol
bosgeb vite blods il
6. Write down the equation for your best-fit line above. Given this equation and the relationship
from number 3 above, determine the value of μs (coefficient of static friction between the 'random
object' and ruler).
s
Transcribed Image Text:Plotting the Data and Determining us 5. Use whatever software you choose to plot speed squared vs radius, and find the best-fit line to the data. Print your scatter plot and best fit line. (it should include the individual data points and the best-fit line). ods wol Uol bosgeb vite blods il 6. Write down the equation for your best-fit line above. Given this equation and the relationship from number 3 above, determine the value of μs (coefficient of static friction between the 'random object' and ruler). s
2. Write down Newton's Second Law for the 'random object' in the radial and vertical
directions. Then incorporate what you know about centripetal acceleration and maximum static
friction.
Radial direction:
Vertical direction:
N=Fy
3. Using the equations above, find the relationship between the speed of the 'random object' and
the radius. You should find that v² is proportional to r (the proportionality constant will involve
the coefficient of static friction and the gravitational acceleration g).
FN-mg:
M&N=M-
| cymy
EFr = f SHRE= may
Smax
(ymg = √²
Data and Calculations
Radius (m)
0.100
EF₂ = Fo=n=0
Z
0.150
0.200
0.05
4. Conduct the experiment three for four different radii for the 'random object': 10, 15, 20 cm,
and choose one other raidus on your own. In each case measure the time for 10 revolutions right
before the 'random object' slides off the ruler.
msing
Time for 10
revolutions (s)
09.06 .ob
8.385
10.69
4.35
√²
Period (s)
1.212
1,516
2.128
mj
6.87
v (m/s)
11385
1,5177
2.6366
0.2133
v² (m²/s²)
1.2962
2,4953
7.2178
0.0747.
Transcribed Image Text:2. Write down Newton's Second Law for the 'random object' in the radial and vertical directions. Then incorporate what you know about centripetal acceleration and maximum static friction. Radial direction: Vertical direction: N=Fy 3. Using the equations above, find the relationship between the speed of the 'random object' and the radius. You should find that v² is proportional to r (the proportionality constant will involve the coefficient of static friction and the gravitational acceleration g). FN-mg: M&N=M- | cymy EFr = f SHRE= may Smax (ymg = √² Data and Calculations Radius (m) 0.100 EF₂ = Fo=n=0 Z 0.150 0.200 0.05 4. Conduct the experiment three for four different radii for the 'random object': 10, 15, 20 cm, and choose one other raidus on your own. In each case measure the time for 10 revolutions right before the 'random object' slides off the ruler. msing Time for 10 revolutions (s) 09.06 .ob 8.385 10.69 4.35 √² Period (s) 1.212 1,516 2.128 mj 6.87 v (m/s) 11385 1,5177 2.6366 0.2133 v² (m²/s²) 1.2962 2,4953 7.2178 0.0747.
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