The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T
The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula) that is below the first table. POSITION vs. TIME GRAPH POSITION vs. TIME GRAPH pos (m) 0.8 m = 0.648 kg 0.7 0.6 0.5 www 1 2 3 4 5 6 7 8 9 10 time uncertainty = = uncertainty of average period = mass (kg) 0.648 0.162 0.072 t(s) m = 0.162 kg POSITION vs. TIME GRAPH m = 0.072 kg pos (m) 0.8 0.7 0.6 www www pos (m) 0.8 0.7 0.6 0.5 0.5 t(s) 1 2 3 4 56 7 8 9 10 1 2 3 t(s) 4 5 6 7 8 9 10 to t10 (s) At for 10 cycles average T (s) k (s) (N/m) σκ (N/m) The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT is the uncertainty of the average period. σκ = 2 кот T
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 72A
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Transcribed Image Text:The graphs below were obtained for a spring-mass system. The same spring was used each time but the mass attached to the spring changed. Fill in the tables below the graphs. To
determine the uncertainty of the average period, use the formula from the previous section. To determine σk (spring constant uncertainty), read the paragraph (and use the formula)
that is below the first table.
POSITION vs. TIME GRAPH
POSITION vs. TIME GRAPH
pos (m)
0.8
m = 0.648 kg
0.7
0.6
0.5
www
1 2 3 4 5 6 7 8 9 10
time uncertainty =
=
uncertainty of average period =
mass
(kg)
0.648
0.162
0.072
t(s)
m = 0.162 kg
POSITION vs. TIME GRAPH
m = 0.072 kg
pos (m)
0.8
0.7
0.6
www
www
pos (m)
0.8
0.7
0.6
0.5
0.5
t(s)
1
2
3
4 56
7 8
9
10
1
2
3
t(s)
4
5 6 7
8
9
10
to
t10
(s)
At for 10 cycles average T
(s)
k
(s)
(N/m)
σκ
(N/m)
The formula to determine σk (spring constant uncertainty) is given below. In this formula, σk is the spring constant uncertainty, k is the spring constant, T is the average period, and σT
is the uncertainty of the average period.
σκ
=
2 кот
T
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