y independent of x 6. The table below shows the result of an experiment to investigate the variation of pendulum period (T) with pendulum length (L). Length is the independent variable and frequency is the dependent variable. Pendulum Length, (L) Period, T, (s) 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0.00 0.63 0.90 1.08 1.28 1.42 1.53 1.69 1.70 1.90 1.98 a) Which of the following general relationships best describe this graph? Explain your choice. y ex, n>1 power y *Vx, n>1 no relationship linear root inverse レ、 b) Describe the steps in the graphical analysis process you would use to determine the expression for the full mathematical relationship that describes this graph.
y independent of x 6. The table below shows the result of an experiment to investigate the variation of pendulum period (T) with pendulum length (L). Length is the independent variable and frequency is the dependent variable. Pendulum Length, (L) Period, T, (s) 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0.00 0.63 0.90 1.08 1.28 1.42 1.53 1.69 1.70 1.90 1.98 a) Which of the following general relationships best describe this graph? Explain your choice. y ex, n>1 power y *Vx, n>1 no relationship linear root inverse レ、 b) Describe the steps in the graphical analysis process you would use to determine the expression for the full mathematical relationship that describes this graph.
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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![6. The table below shows the result of an experiment to investigate the variation of pendulum period (T) with
pendulum length (L). Length is the independent variable and frequency is the dependent variable.
Pendulum Length,
(L)
Period, T, (s)
0.00 0.10 0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
0.00 0.63 0.90
1.08
1.28
1.42
1.53
1.69
1.70
1.90
1.98
a) Which of the following general relationships best describe this graph? Explain your choice.
y independent of x
no relationship
y *x
iinear
y x, n>1
power
y *Vx, n>1
y « 1/x, n>0
inverse
root
y
y 4
b) Describe the steps in the graphical analysis process you would use to determine the expression for the
full mathematical relationship that describes this graph.
[3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3438a3de-57dc-4dab-86ec-1af8aa3a0e86%2F5d74d066-d1fb-4f9b-bfbe-bcbbb433e9c6%2Fnvyx4wh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. The table below shows the result of an experiment to investigate the variation of pendulum period (T) with
pendulum length (L). Length is the independent variable and frequency is the dependent variable.
Pendulum Length,
(L)
Period, T, (s)
0.00 0.10 0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
0.00 0.63 0.90
1.08
1.28
1.42
1.53
1.69
1.70
1.90
1.98
a) Which of the following general relationships best describe this graph? Explain your choice.
y independent of x
no relationship
y *x
iinear
y x, n>1
power
y *Vx, n>1
y « 1/x, n>0
inverse
root
y
y 4
b) Describe the steps in the graphical analysis process you would use to determine the expression for the
full mathematical relationship that describes this graph.
[3]
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