PhysicsLAB: Standing Wave Patterns #4

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Worksheet
Standing Wave Patterns #4

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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 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.

TrueFalse

If the string is 7 meters long, how long is a wavelength, λ?

This wave pattern could be called

5th overtone6th overtone7th overtone8th overtone

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?

TrueFalse

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?

7 meters14 meters21 meterscannot be determined without more information

What would be the wave speed of the fundamental frequency through the string?

Which of these frequencies would not resonant in this string?

24 hz30 hz36 hz

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Worksheet:	APP - Echo Chamber APP - The Dog-Eared Page CP - Light Properties CP - Reflection CP - Shock Waves CP - Sound CP - Waves and Vibrations NT - Apparent Depth NT - Atmospheric Refraction NT - Concert NT - Light vs Sound Waves NT - Shock Cone NT - Sound Waves NT - Standing Waves WS - Beats WS - Beats, Doppler, Resonance Pipes, and Sound Intensity WS - Counting Vibrations and Calculating Frequency/Period WS - Doppler - A Challenge Problem WS - Doppler Effect WS - Fixed and Free-end Reflections WS - Fundamental Wave Terms WS - Illuminance 1 WS - Illuminance 2 WS - Interference: In-phase Sound Sources WS - Lab Discussion: Inertial and Gravitational Mass WS - More Practice with Resonance in Pipes WS - More Practice with the Doppler Practice WS - Practice with Resonance in Pipes WS - Practice with the Doppler Effect WS - Practice: Speed of a Wave Along a String WS - Pulse Superposition: Interference WS - Ripple Tank Review WS - Sound Vocabulary WS - Speed of Sound WS - Speed of Sound (Honors) WS - Standing Wave Patterns #1 WS - Standing Wave Patterns #2 WS - Standing Wave Patterns #3 WS - Vibrating Systems - Period and Frequency WS - Wave Phenomena Reading Guide WS - Wave Pulses WS - Waveform and Vibration Graphs #1 WS - Waveform and Vibration Graphs #2 TB - 25A: Introduction to Waves and Vibrations TB - 25B: Vibrations and Waves TB - 25C: Wave Speed TB - 25D: Interference TB - 25E: Doppler TB - 25F: Doppler Effect (continued) TB - 26B: Speed of Sound TB - 26C: Resonance TB - 26D: Beats TB - 26E: Decibels TB - 27A: Light Properties TB - Decibels and Sound Intensity #1 TB - Decibels and Sound Intensity #2 TB - Interference Re-examined TB - Refraction Phenomena Reading Questions TB - Sound: Mixed Practice TB - Waves and Vibrations

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