The system oscillates with a period given by T = 27, m Here T is the period of oscillation, m is the value of the mass and k is the value of the spring constant of the spring. The student has the information that the percentage uncertainty in m is 1.5% and the percentage uncertainty in k is 2.5%. What is the percentage uncertainty in T?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.7P
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A student is performing an experiment on a frictionless mass-spring system. One end of the spring is
attached to a fixed wall, and the mass is attached to the other end of the spring. The mass can move
along only one axis, parallel to the ground.
The system oscillates with a period given by T = 27,
m. Here T is the period of oscillation, m is the
value of the mass and k is the value of the spring constant of the spring. The student has the
information that the percentage uncertainty in m is 1.5% and the percentage uncertainty in k is 2.5%.
What is the percentage uncertainty in T?
Select one:
4%
0.2%
2%
0.4%
Transcribed Image Text:A student is performing an experiment on a frictionless mass-spring system. One end of the spring is attached to a fixed wall, and the mass is attached to the other end of the spring. The mass can move along only one axis, parallel to the ground. The system oscillates with a period given by T = 27, m. Here T is the period of oscillation, m is the value of the mass and k is the value of the spring constant of the spring. The student has the information that the percentage uncertainty in m is 1.5% and the percentage uncertainty in k is 2.5%. What is the percentage uncertainty in T? Select one: 4% 0.2% 2% 0.4%
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