Open Question
Standing waves on a 1.0-m-long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 48 Hz. b. Draw the standing-wave pattern when the string oscillates at 48 Hz.
18. Waves & Sound
Standing Waves
Back18. Waves & Sound
Standing Waves
- Open Questiona. What are the three longest wavelengths for standing waves on a 60 cm long string that is fixed at both ends?
- Open QuestionFIGURE EX17.6 shows a standing wave oscillating at 100 Hz on a string. What is the wave speed?
- Open QuestionA string under tension has a fundamental frequency of 220 Hz. What is the fundamental frequency if the tension is doubled?
- Open QuestionINT One end of a 75-cm-long, 2.5 g guitar string is attached to a spring. The other end is pulled, which stretches the spring. The guitar string's second harmonic occurs at 550 Hz when the spring has been stretched by 5.0 cm. What is the value of the spring constant?
- Open QuestionA violinist places her finger so that the vibrating section of a 1.0 g/m string has a length of 30 cm, then she draws her bow across it. A listener nearby in a 20°C room hears a note with a wavelength of 40 cm. What is the tension in the string?
- Open QuestionFIGURE EX17.7 shows a standing wave on a string that is oscillating at 100 Hz. a. How many antinodes will there be if the frequency is increased to 200 Hz?
- Open Question
(I) The fundamental frequency of a violin string is 441 Hz when unfingered. What is its fundamental frequency if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.)
- Open Question
(II) The speed of waves on a string is 96 m/s. If the frequency of standing waves is 435 Hz, how far apart are two adjacent nodes?
- Open Question
(II) A guitar string is 91 cm long and has a mass of 3.2 g. The vibrating portion of the string from the bridge to the support post is ℓ = 64cm and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones?
- Open Question
(II) The displacement of a standing wave on a string is given by D = 2.4 sin ( 0.60x ) cos (42t) , where x and D are in centimeters and t is in seconds. (a) What is the distance (cm) between nodes?
- Open Question
(II) The displacement of a standing wave on a string is given by D = 2.4 sin ( 0.60x ) cos (42t) , where x and D are in centimeters and t is in seconds. (b) Give the amplitude, frequency, and speed of each of the component waves.
- Open Question
(II) A particular violin string plays at a frequency of 294 Hz. If the tension is increased 22%, what will the new frequency be?
- Open Question
A guitar string is supposed to vibrate at 247 Hz, but is measured to actually vibrate at 262 Hz. By what percentage should the tension in the string be changed to get the frequency to the correct value?
- Open Question
(I) A particular string resonates in four loops at a frequency of 320 Hz. Name at least three other frequencies at which it will resonate. What is each called?