PhysicsLAB: Standing Wave Patterns #3

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Worksheet
Standing Wave Patterns #3

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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 v_w = 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 seven questions.

A wave pulse can travel 5 meters along a given rope in 0.25 seconds.

What is the speed of the wave?

If the rope is being shaken to form a standing wave pattern displaying 4 loops, then its wave pattern would be called the

2nd overtone3rd overtone4th overtone5th overtone

What is the wavelength of the waveform resonating in this standing wave pattern?

True or False. The rope is being shaken at a frequency of 16 hz to produce this standing wave pattern with 4 loops.

truefalse

True or False. The fundamental frequency for this rope would be 2 hz.

truefalse

The fundamental wavelength for standing waves along this rope would be

5 meters10 meters20 meterscannot be determined without more information

Which of the following resonance states could NOT be formed along this rope?

4 hz5 hz10 hz20 hz

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