Standing Wave Patterns #4 Printer Friendly Version
This physlet by CK Ng animates the relationships between frequency and wavelength for the first several harmonics along a string. Slowly change the frequency and watch the amplitude build as you approach each resonance state. You can alter the length of the string by sliding the stand. By showing the ruler, you can measure the length of a loop and calculate the wave speed with the formula vw = fλ. Unfortunately, you will not be able to replicate the numerical values in the following questions.

As you complete this worksheet, feel free to view correct answers as often as you need always remembering to try and make your first answers as accurate as possible.

Refer to the following information for the next nine questions.

You are given that a standing wave pattern along a string has a total of eight nodes, one at each end.
True or False. There are exactly three wavelengths along the length of the string.
 If the string is 7 meters long, how long is a wavelength, λ?

This wave pattern could be called
 What multiple of the wave's fundamental frequency is represented by this resonance pattern?

True or False. If the fundamental frequency for this wave is 12 hertz, then the frequency of this resonance state is 84 hz?
 What is the speed of this waveform?

What would be the wavelength of the fundamental frequency if it were to travel through the same string?
 What would be the wave speed of the fundamental frequency through the string?

Which of these frequencies would not resonant in this string?