Assuming that the coupling constant is 1, using dimensional analysis, find the possible formula that relates the time t in transmitting a disturbance on a string, knowing that it depends on: of the Force F with which it is stretched, of the mass m of the rope, and the length L of the string.

Assuming that the coupling constant is 1, using dimensional analysis, find the possible formula that relates the time t in transmitting a disturbance on a string, knowing that it depends on: of the Force F with which it is stretched, of the mass m of the rope, and the length L of the string.

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 3.13P

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Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

Assuming that the coupling constant is 1, using dimensional analysis, find the possible formula that relates the time t in transmitting a disturbance on a string, knowing that it depends on:
of the Force F with which it is stretched, of the mass m of the rope,
and the length L of the string.
Data:
[F] = M L T -2

[v] = L T -1

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