Sinusoidal Oscillator Quick Question

[stylez03]

Homework Statement

Drive one end of the string with sinusoidal oscillator of frequency 100hz. What velocity is required to setup a standing wave with 5 segments?

Homework Equations

I know for standing wave that fn = nV/2L and you can isolate out velocity variable.

The Attempt at a Solution

Though I'm not very familiar if the string is not tied down at both ends and I was wondering if someone could explain how to obtain the velocity from the 2 givens.

 

[AlephZero]

You don't have enough information. You also need the total length of the string.

The standing wave in a string fixed at one end and free at the other end will look the same as in a pipe closed at one end and open at the other end.

 

[m2003]

As a scientist, it is important to understand the underlying principles and equations behind any problem. In this case, the given equation for the frequency of a standing wave (fn = nV/2L) is derived from the fundamental equation for wave speed (V = λf), where λ is the wavelength and f is the frequency. In this problem, the frequency is given as 100 Hz and the number of segments (n) is 5. Therefore, the equation can be rewritten as V = 2Lfn/n, where L is the length of the string.

To find the velocity required to set up a standing wave with 5 segments, we need to know the length of the string. Without this information, it is not possible to solve for the velocity. Additionally, the type of oscillator used and the boundary conditions at the ends of the string can also affect the velocity required to set up a standing wave. Therefore, it is important to have a clear understanding of the given conditions before attempting to solve the problem.

In summary, it is important to have a solid understanding of the fundamental equations and principles involved in a problem before attempting to solve it. Without all the necessary information and a clear understanding of the problem, it is not possible to obtain the correct solution.