You must determine the length of a long, thin wire that is suspended from the ceiling in the atrium of a tall building. A 2.00-cm-long piece of the wire is left over from its installation. Using an analytical balance, you determine that the mass of the spare piece is 14.5 mg. You then hang a 0.400 kg mass from the lower end of the long, suspended wire. When a small-amplitude transverse wave pulse is sent up that wire, sensors at both ends measure that it takes the wave pulse 26.7 ms to travel the length of the wire. (a) Use these measurements to calculate the length of the wire. Assume that the weight of the wire has a negligible effect on the speed of the transverse waves. (b) Discuss the accuracy of the approximation made in part (a).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
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You must determine the length of a long, thin wire that is suspended
from the ceiling in the atrium of a tall building. A 2.00-cm-long
piece of the wire is left over from its installation. Using an analytical
balance, you determine that the mass of the spare piece is 14.5 mg.
You then hang a 0.400 kg mass from the lower end of the long, suspended
wire. When a small-amplitude transverse wave pulse is sent up
that wire, sensors at both ends measure that it takes the wave pulse 26.7 ms
to travel the length of the wire. (a) Use these measurements to calculate the
length of the wire. Assume that the weight of the wire has a negligible effect
on the speed of the transverse waves. (b) Discuss the accuracy of the approximation
made in part (a).

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