Based on the data below: 1. How did the change in radius, while keeping everything constant, affect the stopper as it was spinning? 2. How did the increase in mass (number of stoppers), while keeping everything constant, affect the stopper as it was spinning? 3. How did the change in hanging mass (m2), while keeping everything constant, affect the stopper as it was spinning?

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Chapter13: State Of Matter
Section: Chapter Questions
Problem 86A
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Based on the data below:

1. How did the change in radius, while keeping everything constant, affect the stopper as it was spinning?

2. How did the increase in mass (number of stoppers), while keeping everything constant, affect the stopper as it was spinning?

3. How did the change in hanging mass (m2), while keeping everything constant, affect the stopper as it was spinning?

4. What are the implications of the percent error calculations between the calculated centripetal forces and the hanged masses for the following:

i) TABLE A

ii) TABLE B

iii) TABLE C

Note: Use the units specified directly in your calculations! DO NOT CONVERT UNITS!
1 dyne = 1 g*cm/s^2 = 10^-5 N
%3D
Mass of stopper 1 (g)
Mass of stopper 2 (g)
Mass of stopper 3 (g)
30
30
15
TABLE A (constant m2 = 100 g)
TABLE B
(constant r = 50 cm)
%3D
Number of
RADIUS r (cm)
TIME, t (s)
Period, T (s)
Centripetal force, Fc (dyne)
stoppers
TIME, t (s)
Period, T (s)
Centripetal force, Fc (dyne)
100
10.56
1.056
106207.0033
1
8.04
0.804
91609.1594
75
9.12
0.912
106795.4077
2
10.69
1.069
103639.5649
50
8.04
0.804
91609.1594
3
11.77
1.177
106865.6370
Average Fc =
101537.1902
Average Fc =
100704.7871
%3D
%3D
% Difference between Fc and weight of m2 in dyne
6.8363
% Difference between Fc and weight of m2 in dyne
2.6546
TABLE C (constant r = 50 cm)
Hanged mass
m2 (g)
Centripetal force, % Difference of Fc and
Weigt (dyne)
TIME, t (s)
Period, T (s)
Fc (dyne)
weight of each m2
100
98066.5
8.04
0.804
91609.1594
6.8088
120
117679.8
7.34
0.734
109915.4838
6.8229
140
137293.1
6.83
0.683
126943.2428
7.8338
Transcribed Image Text:Note: Use the units specified directly in your calculations! DO NOT CONVERT UNITS! 1 dyne = 1 g*cm/s^2 = 10^-5 N %3D Mass of stopper 1 (g) Mass of stopper 2 (g) Mass of stopper 3 (g) 30 30 15 TABLE A (constant m2 = 100 g) TABLE B (constant r = 50 cm) %3D Number of RADIUS r (cm) TIME, t (s) Period, T (s) Centripetal force, Fc (dyne) stoppers TIME, t (s) Period, T (s) Centripetal force, Fc (dyne) 100 10.56 1.056 106207.0033 1 8.04 0.804 91609.1594 75 9.12 0.912 106795.4077 2 10.69 1.069 103639.5649 50 8.04 0.804 91609.1594 3 11.77 1.177 106865.6370 Average Fc = 101537.1902 Average Fc = 100704.7871 %3D %3D % Difference between Fc and weight of m2 in dyne 6.8363 % Difference between Fc and weight of m2 in dyne 2.6546 TABLE C (constant r = 50 cm) Hanged mass m2 (g) Centripetal force, % Difference of Fc and Weigt (dyne) TIME, t (s) Period, T (s) Fc (dyne) weight of each m2 100 98066.5 8.04 0.804 91609.1594 6.8088 120 117679.8 7.34 0.734 109915.4838 6.8229 140 137293.1 6.83 0.683 126943.2428 7.8338
r
mi
Stopper
Hollow tube
* Paper clip
m2
Hanging mass
Transcribed Image Text:r mi Stopper Hollow tube * Paper clip m2 Hanging mass
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