18. Waves & Sound

Standing Waves

Standing Waves and Harmonics

An unknown mass hangs on the end of a 2 m rope anchored to the ceiling when a strong wind causes the rope to vibrate and hum at its fundamental frequency of 100 Hz. If the rope has a mass of 0.15 kg, what is the unknown mass?

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin[(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (c) frequency.

A wire with mass 40.0 g is stretched so that its ends are tied down at points 80.0 cm apart. The wire vibrates in its fundamental mode with frequency 60.0 Hz and with an amplitude at the antinodes of 0.300 cm. (a) What is the speed of propagation of transverse waves in the wire?

In the following figure, what is the harmonic number of the standing wave? The wavelength of the standing wave? If the frequency of the standing wave is 30 Hz, what is the speed of the waves producing the standing wave?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/2ff46628"alt=""/>

Unknown Harmonic Frequency

Standing Wave On A Guitar

Standing Wave Demo: Slinky

Standing Wave Harmonics -- xmdemo 139

A standing wave on a string in the <math display=“inline”><mrow><mi>m</mi><mo>=</mo><mn>3</mn></mrow></math> mode has a frequency of <math display=“inline”><mrow><mrow><mn>930</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Hz</mi></mrow><mo>.</mo></mrow></math> What is the frequency of the <math display=“inline”><mrow><mi>m</mi><mo>=</mo><mn>2</mn></mrow></math> standing wave?

The figure shows a standing wave on a string. What are the mode number and wavelength for this standing wave? <img src="https://media.pearsoncmg.com/aw/aw_knight_cp_4_du/msa/content/practice-test/img/CH16_Question02.jpg" alt="A 50 centimeters long horizontal string is supported by 2 boundaries on its ends. An original standing wave with 6 nodes and 5 antinodes." />

Standing Waves Introduction

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of (b) the second overtone?

CALC. A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x, t) = (5.60 cm) sin[(0.0340 rad/cm)x] sin[(50.0 rad/s)t], where the origin is at the left end of the string, the x-axis is along the string, and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing-wave pattern.<img src="https://lightcat-files.s3.amazonaws.com/problem_images/4061b616cbbe6f33-1666858184962.jpg" alt="" />

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin[(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (b) wavelength.

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin[(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (a) amplitude.

Standing wave harmonics on guitar strings (and pianos, banjos, and harps, I guess) | Doc Physics

Standing Waves - IB Physics

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of (a) the fundamental?

A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 g. (a) What is the frequency of its fundamental mode of vibration?

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin[(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (d) wave speed.

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of (c) the fourth harmonic?

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