PhysicsLAB: Standing Wave Patterns #2

This animation 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 six questions.

You are given that a 4-meter string transmits waves at a speed of 60 m/sec.

True or False. A 120 hz resonance frequency will have a wavelength of 2 meters.

TrueFalse

What is the order of this resonance state?

What would the lowest, fundamental frequency for waves on this string?

True or False. Another possible resonance state for this string could be achieved at a frequency of 12 hz.

TrueFalse

For this string, what is the frequency of its 5th overtone?

22.5 hz30 hz37.5 hz45 hz

For this string, what is the wavelength of its 5th overtone?