The calculation it takes to make a straight line will depend on the relationship the original graph shows: Shape of Original Graph New Horizontal Axis Linear Parabola Square root Inverse 1/x Inverse square 1/x To linearize your graph, what should go on your new horizontal axis? Hint: Replace "x" with the quantity that you plotted on your original horizontal axis. 1/1 1/12
The calculation it takes to make a straight line will depend on the relationship the original graph shows: Shape of Original Graph New Horizontal Axis Linear Parabola Square root Inverse 1/x Inverse square 1/x To linearize your graph, what should go on your new horizontal axis? Hint: Replace "x" with the quantity that you plotted on your original horizontal axis. 1/1 1/12
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:mass
string length
amplitude
period
kg
m
a
t
m
m
1
0.05
2.00
2
0.05
2.00
1.
0.05
2.00
4
0.05
2.80
0.05
3.45
6
1
4
0.05
4.00
7
0.07
2.00
8
0.10
2.00
period vs string length
4.
3.5
2.5
1.5
2
2.5
3
3.5
4
string length (m)
Display Curve Fit Uncertainties
period Curve:
t = Al + B
A : 0.686
B: 1.33 s
RMSE : 0.0580 s
T: 0.998
2.
(S) pouad
Transcribed Image Text:7. When we have a graph that shows a relationship besides linear, it is helpful to linearize it. This
means we do some kind of calculation with the quantity on the horizontal axis of the original
graph. Then, we make a new graph with the calculated quantity on the horizontal axis to try
and make a graph with a linear shape.
The calculation it takes to make a straight line will depend on the relationship the original
graph shows:
Shape of Original Graph New Horizontal Axis
Linear
Parabola
Square root
Vx
Inverse
1/x
Inverse square
1/x?
To linearize your graph, what should go on your new horizontal axis?
Hint: Replace "x" with the quantity that you plotted on your original horizontal axis.
12
VI)
O 1/1
1/12
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