Data Table 1 Item Small Washer Large Washer 1 Large Washer 2 Large Washer 3 Data Table 6: Calculations: Centripetal Force-Varying the radius of the Mass (kg) 0.00186 kg Large Washer 4 0.02431 kg 0.02431 kg 0.02431 kg 0.02431 kg Moving Mass washer) Data Table 2: Part A: Varying the Radius of the Moving Mass, r Trial Hanging Mass (1 large (1 small washer) Radius Time, t, for Experimental ,r (m) (chang es) 10 revolution s(s) Velocity VE (m/s) Theoretical velocity XI (m/s) Percent Error in Velocity x100 (20)πr Mgr VT t 172 1 0.02431 kg 0.00186 kg 0.30 m 10 s 1.9 m/s 6.2 m/s 25.8 % 2 0.02431 kg 0.00186 kg 0.25 m 8 s 2.0 m/s 5.7 m/s 30.7% 3 0.02431 kg 0.00186 kg 4 0.02431 kg 0.20 m 0.00186 kg 0.15 m 7s 1.8 m/s 5.1 m/s 31.4% 4 s 2.4 m/s 4.4 m/s 51.1 % 1 Moving mass, r Trial Hanging Radius, r Mass, M (changes) Moving Mass, m Moving Experimental mass/ Velocity VE² Centripetal Force (N) (1 large (1 small radius m(ve)² Weight (Hanging mass * g) (N) Mg washer) 1 0.02431 kg 0.30 m 2 0.02431 kg 0.25 m 3 0.02431 kg 0.20 m 0.02431 kg 0.15 m washer) 0.00186 kg 0.00186 kg 0.00186 kg 0.00186 kg m/r T 0.0062 1.37 m/s 3.61 m²/s² 0.081 N 0.239 N 0.0074 1.45 m/s 4.0 m²/s² 0.020 N 0.239 N 0.0093 1.53 m/s 3.24 m²/s² 0.098 N 0.239 N 0.0124 1.64 m/s 5.76 m²/s² 0.411 N 0.239 N Mass, M (changes) same) (1 small washer) 0.02431 kg 0.30 m | 0.00186 kg Radius, Moving r (stays the Data Table 7: Calculations: Centripetal Force - Varying the mass of the Hanging mass, M Trial Hanging Mass, m Moving mass/ radius m/r Experimental Velocity Vg2 Centripetal Force (N) m(V)2 Weight (Hanging mass *g)) (N) Mg 0.0062 1.37 m/s 0.022 N 0.239 N (changes) Mass (1 small washer) r (m) Stays the Data Table 3: Part B: Varying the Hanging Mass, M Trial Hanging Mass Moving Experimental Velocity (m/s) Velocity (20)πr 1.88 m²/s² Radius, Time, t, for 10 Theoretical Percent Error in Velocity 2 0.04862 kg 0.30 m 0.00186 kg 0.0062 1.45 m/s 0.027 N 0.477 N 2.10 m²/s² revolutions (m/s) x100 (seconds) VT 3 Mgr 0.07293 kg 0.30 m 0.00186 kg 0.0062 1.53 m/s 0.034 N 0.777 N same 2.34 m²/s² m 1 0.02431 kg 2 0.04862 kg 3 0.07293 kg 4 0.09724 kg 0.00186 kg 0.00186 kg 0.00186 kg 0.00186 kg 0.30 m 0.30 m 0.30 m 0.30 m 10 s 1.37 m/s 6.2 m/s 17.3% 4 0.09724 kg 0.30 m 0.00186 kg 0.0062 1.64 m/s 0.045 N 0.954 N 9 s 1.45 m/s 8.7 m/s 13.2% 2.70 m²/s² 8 s 1.53 m/s 10.7 m/s 11.5% 7 s 1.64 m/s 12.4 m/s 10.8 % Data Table 4: Calculations: Centripetal Acceleration-Varying the Radius of the Moving Mass, r Trial Radius, r (changes) Experimental Velocity (m/s) VE² Centripetal acceleration T 1 0.30 m 1.9 m/s 3.61 m²/s² 12.0 m/s² 2 0.25 m 2.0 m/s 4.0 m²/s² 16.0 m/s² 3 0.20 m 1.8 m/s 3.24 m²/s² 16.2 m/s² 4 0.15 m 2.4 m/s 5.76 m²/s² 38.4 m/s²
Data Table 1 Item Small Washer Large Washer 1 Large Washer 2 Large Washer 3 Data Table 6: Calculations: Centripetal Force-Varying the radius of the Mass (kg) 0.00186 kg Large Washer 4 0.02431 kg 0.02431 kg 0.02431 kg 0.02431 kg Moving Mass washer) Data Table 2: Part A: Varying the Radius of the Moving Mass, r Trial Hanging Mass (1 large (1 small washer) Radius Time, t, for Experimental ,r (m) (chang es) 10 revolution s(s) Velocity VE (m/s) Theoretical velocity XI (m/s) Percent Error in Velocity x100 (20)πr Mgr VT t 172 1 0.02431 kg 0.00186 kg 0.30 m 10 s 1.9 m/s 6.2 m/s 25.8 % 2 0.02431 kg 0.00186 kg 0.25 m 8 s 2.0 m/s 5.7 m/s 30.7% 3 0.02431 kg 0.00186 kg 4 0.02431 kg 0.20 m 0.00186 kg 0.15 m 7s 1.8 m/s 5.1 m/s 31.4% 4 s 2.4 m/s 4.4 m/s 51.1 % 1 Moving mass, r Trial Hanging Radius, r Mass, M (changes) Moving Mass, m Moving Experimental mass/ Velocity VE² Centripetal Force (N) (1 large (1 small radius m(ve)² Weight (Hanging mass * g) (N) Mg washer) 1 0.02431 kg 0.30 m 2 0.02431 kg 0.25 m 3 0.02431 kg 0.20 m 0.02431 kg 0.15 m washer) 0.00186 kg 0.00186 kg 0.00186 kg 0.00186 kg m/r T 0.0062 1.37 m/s 3.61 m²/s² 0.081 N 0.239 N 0.0074 1.45 m/s 4.0 m²/s² 0.020 N 0.239 N 0.0093 1.53 m/s 3.24 m²/s² 0.098 N 0.239 N 0.0124 1.64 m/s 5.76 m²/s² 0.411 N 0.239 N Mass, M (changes) same) (1 small washer) 0.02431 kg 0.30 m | 0.00186 kg Radius, Moving r (stays the Data Table 7: Calculations: Centripetal Force - Varying the mass of the Hanging mass, M Trial Hanging Mass, m Moving mass/ radius m/r Experimental Velocity Vg2 Centripetal Force (N) m(V)2 Weight (Hanging mass *g)) (N) Mg 0.0062 1.37 m/s 0.022 N 0.239 N (changes) Mass (1 small washer) r (m) Stays the Data Table 3: Part B: Varying the Hanging Mass, M Trial Hanging Mass Moving Experimental Velocity (m/s) Velocity (20)πr 1.88 m²/s² Radius, Time, t, for 10 Theoretical Percent Error in Velocity 2 0.04862 kg 0.30 m 0.00186 kg 0.0062 1.45 m/s 0.027 N 0.477 N 2.10 m²/s² revolutions (m/s) x100 (seconds) VT 3 Mgr 0.07293 kg 0.30 m 0.00186 kg 0.0062 1.53 m/s 0.034 N 0.777 N same 2.34 m²/s² m 1 0.02431 kg 2 0.04862 kg 3 0.07293 kg 4 0.09724 kg 0.00186 kg 0.00186 kg 0.00186 kg 0.00186 kg 0.30 m 0.30 m 0.30 m 0.30 m 10 s 1.37 m/s 6.2 m/s 17.3% 4 0.09724 kg 0.30 m 0.00186 kg 0.0062 1.64 m/s 0.045 N 0.954 N 9 s 1.45 m/s 8.7 m/s 13.2% 2.70 m²/s² 8 s 1.53 m/s 10.7 m/s 11.5% 7 s 1.64 m/s 12.4 m/s 10.8 % Data Table 4: Calculations: Centripetal Acceleration-Varying the Radius of the Moving Mass, r Trial Radius, r (changes) Experimental Velocity (m/s) VE² Centripetal acceleration T 1 0.30 m 1.9 m/s 3.61 m²/s² 12.0 m/s² 2 0.25 m 2.0 m/s 4.0 m²/s² 16.0 m/s² 3 0.20 m 1.8 m/s 3.24 m²/s² 16.2 m/s² 4 0.15 m 2.4 m/s 5.76 m²/s² 38.4 m/s²
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 36AP: Review. Assume a certain liquid, with density 1 230 kg/m3, exerts no friction force on spherical...
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Question
This is data I collected from a Centripetal Acceleration and Force lab. Please help with interpreting the data, thanks!

Transcribed Image Text:Data Table 1
Item
Small Washer
Large Washer 1
Large Washer 2
Large Washer 3
Data Table 6: Calculations: Centripetal Force-Varying the radius of the
Mass (kg)
0.00186 kg
Large Washer 4
0.02431 kg
0.02431 kg
0.02431 kg
0.02431 kg
Moving Mass
washer)
Data Table 2: Part A: Varying the Radius of the Moving Mass, r
Trial Hanging
Mass (1 large (1 small
washer)
Radius Time, t, for Experimental
,r (m)
(chang
es)
10
revolution
s(s)
Velocity VE
(m/s)
Theoretical
velocity XI
(m/s)
Percent Error
in Velocity
x100
(20)πr
Mgr
VT
t
172
1
0.02431 kg
0.00186 kg
0.30 m
10 s
1.9 m/s
6.2 m/s
25.8 %
2
0.02431 kg
0.00186 kg
0.25 m
8 s
2.0 m/s
5.7 m/s
30.7%
3
0.02431 kg
0.00186 kg
4
0.02431 kg
0.20 m
0.00186 kg 0.15 m
7s
1.8 m/s
5.1 m/s
31.4%
4 s
2.4 m/s
4.4 m/s
51.1 %
1
Moving mass, r
Trial Hanging
Radius, r
Mass, M
(changes)
Moving
Mass, m
Moving Experimental
mass/ Velocity
VE²
Centripetal
Force (N)
(1 large
(1 small
radius
m(ve)²
Weight (Hanging
mass * g) (N)
Mg
washer)
1
0.02431 kg
0.30 m
2
0.02431 kg
0.25 m
3
0.02431 kg
0.20 m
0.02431 kg
0.15 m
washer)
0.00186
kg
0.00186
kg
0.00186
kg
0.00186
kg
m/r
T
0.0062 1.37 m/s
3.61 m²/s²
0.081 N
0.239 N
0.0074 1.45 m/s
4.0 m²/s²
0.020 N
0.239 N
0.0093 1.53 m/s
3.24 m²/s²
0.098 N
0.239 N
0.0124 1.64 m/s
5.76 m²/s²
0.411 N
0.239 N
Mass, M
(changes)
same)
(1 small
washer)
0.02431 kg 0.30 m | 0.00186 kg
Radius, Moving
r (stays
the
Data Table 7: Calculations: Centripetal Force - Varying the mass of the
Hanging mass, M
Trial Hanging
Mass, m
Moving
mass/
radius
m/r
Experimental
Velocity
Vg2
Centripetal
Force (N)
m(V)2
Weight (Hanging
mass *g)) (N)
Mg
0.0062
1.37 m/s
0.022 N
0.239 N
(changes)
Mass (1
small
washer)
r (m)
Stays
the
Data Table 3: Part B: Varying the Hanging Mass, M
Trial Hanging Mass Moving
Experimental
Velocity (m/s) Velocity
(20)πr
1.88 m²/s²
Radius, Time, t, for
10
Theoretical
Percent Error
in Velocity
2
0.04862 kg 0.30 m
0.00186 kg
0.0062
1.45 m/s
0.027 N
0.477 N
2.10 m²/s²
revolutions
(m/s)
x100
(seconds)
VT
3
Mgr
0.07293 kg 0.30 m 0.00186 kg
0.0062
1.53 m/s
0.034 N
0.777 N
same
2.34 m²/s²
m
1
0.02431 kg
2
0.04862 kg
3
0.07293 kg
4
0.09724 kg
0.00186 kg
0.00186 kg
0.00186 kg
0.00186 kg 0.30 m
0.30 m
0.30 m
0.30 m
10 s
1.37 m/s
6.2 m/s
17.3%
4
0.09724 kg
0.30 m
0.00186 kg
0.0062
1.64 m/s
0.045 N
0.954 N
9 s
1.45 m/s
8.7 m/s
13.2%
2.70 m²/s²
8 s
1.53 m/s
10.7 m/s
11.5%
7 s
1.64 m/s
12.4 m/s
10.8 %
Data Table 4: Calculations: Centripetal Acceleration-Varying the Radius of
the Moving Mass, r
Trial
Radius, r (changes)
Experimental
Velocity (m/s)
VE²
Centripetal
acceleration
T
1
0.30 m
1.9 m/s
3.61 m²/s²
12.0 m/s²
2
0.25 m
2.0 m/s
4.0 m²/s²
16.0 m/s²
3
0.20 m
1.8 m/s
3.24 m²/s²
16.2 m/s²
4
0.15 m
2.4 m/s
5.76 m²/s²
38.4 m/s²
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