Table 2 Graphic Averaging Method Riser Block Thickness T= 1 in. = 2.54 x 10 m Distance between leveling screws L = 2.805 Distance Traveled Average Time tay 2 tav Error in t (s) alde d (m) (s) う5 4.02 13,16 2.33 1 1.5 5.75 33.00 5.06 6.56 5.97 2.25 713 49.84 3 3.00 8.29 61.72 4. min: max: ave: Error: Slope, S, of d vs. f graph (m/s).OH74 .0s21.04975 11.2%. Acceleration due to gravity g = 2S4 m/s? 土 % Difference Compared to g= 9.80 m/sec", %. iveg el el ban How well does the experiment with the standard value of g relative to the estimated error in the experiment? Is it within 1 error bar? 2error bars? More?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Plot graphs for the data in Table 2 and determine the minimum and maximum slopes. Substitute
the average slope in the equations in the tables and secure values of g. From the minimum and
maximum slopes calculate the minimum and maximum values for g and assign the difference
divided by 2 as the error.
bo
In Table 2 gaverage + (gmaximum - gminimum)/2
Compare this with the accepted value of g in each case by completing the information at the bottom
of each table.
Table 1 Calculational Averaging Method
Riser Block Thickness T= ¾ in. = 1.91 x 10 m
%3D
2.805
m
Distance between leveling screws L =
sin0 = T/L =
.39°
2d
Average Time, tav
(s)
(m/s²)
Distance Traveled d
a =
2
t.
Tay
(m)
.0721
.0680
0669
0658
.0682
10.02
2.24%
75 m
4.56
1
1.5m
7.25m
3.00m
8.20
9.55
36
4
Average Accelerations (m/s)
Accel. due to gravity, g = a/sin 0 = a (m/s*)
% Difference (use estimated local value g = 9.80 m/s)
%3D
Assume we have errors of 0.1 cm in the values of T and L. Compute the influence of each of these
errors on the experimental values of g in Table 1. (Adjust the values of T and L by 0.1cm to get
the biggest or smallest values.)
29
3.
Transcribed Image Text:Plot graphs for the data in Table 2 and determine the minimum and maximum slopes. Substitute the average slope in the equations in the tables and secure values of g. From the minimum and maximum slopes calculate the minimum and maximum values for g and assign the difference divided by 2 as the error. bo In Table 2 gaverage + (gmaximum - gminimum)/2 Compare this with the accepted value of g in each case by completing the information at the bottom of each table. Table 1 Calculational Averaging Method Riser Block Thickness T= ¾ in. = 1.91 x 10 m %3D 2.805 m Distance between leveling screws L = sin0 = T/L = .39° 2d Average Time, tav (s) (m/s²) Distance Traveled d a = 2 t. Tay (m) .0721 .0680 0669 0658 .0682 10.02 2.24% 75 m 4.56 1 1.5m 7.25m 3.00m 8.20 9.55 36 4 Average Accelerations (m/s) Accel. due to gravity, g = a/sin 0 = a (m/s*) % Difference (use estimated local value g = 9.80 m/s) %3D Assume we have errors of 0.1 cm in the values of T and L. Compute the influence of each of these errors on the experimental values of g in Table 1. (Adjust the values of T and L by 0.1cm to get the biggest or smallest values.) 29 3.
Table 2 Graphic Averaging Method
Riser Block Thickness T= 1 in. = 2.54 x 10 m
%3D
Distance between leveling screws L =
2.805
m
tav
bodty
(s³)
Distance Traveled
Average Time tay
Error in t (s) de
d (m)
(s)
う5
4.02
13,16
2.33
1
1.5
5.73
33.06
5.06
2.25
713
49.84
6.56
3.00
8.29
61.72
5.97-
min:
max:
ave:
Error:
Slope, S, of d vs. graph (m/s²)
.0474
.0521.04975 1.%
Acceleration due to gravity g = 2S
m/s?
土
%3D
%3D
% Difference Compared to g = 9.80 m/sec",
%. ivEg o oub book
How well does the experiment with the standard value of g relative to the estimated error in the
experiment? Is it within 1 error bar? 2error bars? More?
3.
4+
Transcribed Image Text:Table 2 Graphic Averaging Method Riser Block Thickness T= 1 in. = 2.54 x 10 m %3D Distance between leveling screws L = 2.805 m tav bodty (s³) Distance Traveled Average Time tay Error in t (s) de d (m) (s) う5 4.02 13,16 2.33 1 1.5 5.73 33.06 5.06 2.25 713 49.84 6.56 3.00 8.29 61.72 5.97- min: max: ave: Error: Slope, S, of d vs. graph (m/s²) .0474 .0521.04975 1.% Acceleration due to gravity g = 2S m/s? 土 %3D %3D % Difference Compared to g = 9.80 m/sec", %. ivEg o oub book How well does the experiment with the standard value of g relative to the estimated error in the experiment? Is it within 1 error bar? 2error bars? More? 3. 4+
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