Case 2: Next, consider the case of a student wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation m T = 2n. (18) V k This is not a linear equation, but it can be linearized using the same method used to linearize Equation 10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting line can be used to determine the spring constant, k. Mass (m) 0.200 kg 0.400 kg 0.600 kg 0.800 kg 1.000 kg 1.200 kg Period (T) 0.331 sec 0.459 sec 0.575 sec 0.669 sec 0.728 sec 0.803 sec T2

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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I am having a hard time finding the meaning of what Tis in the equation. Do I just square the T or do something else? Thanks for the help in advanced.

Case 2:
Next, consider the case of a student wishing to determine the spring constant for a spring by measuring
the period of oscillation of a mass on the spring. The student knows that the relationship between the
spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation
m
T = 2n.
(18)
V k
This is not a linear equation, but it can be linearized using the same method used to linearize Equation
10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting
line can be used to determine the spring constant, k.
Mass (m)
0.200 kg
0.400 kg
0.600 kg
0.800 kg
1.000 kg
1.200 kg
Period (T)
0.331 sec
0.459 sec
0.575 sec
0.669 sec
0.728 sec
0.803 sec
T2
Transcribed Image Text:Case 2: Next, consider the case of a student wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation m T = 2n. (18) V k This is not a linear equation, but it can be linearized using the same method used to linearize Equation 10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting line can be used to determine the spring constant, k. Mass (m) 0.200 kg 0.400 kg 0.600 kg 0.800 kg 1.000 kg 1.200 kg Period (T) 0.331 sec 0.459 sec 0.575 sec 0.669 sec 0.728 sec 0.803 sec T2
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