A 0.88 m long string on a musical instrument is vibrating in a two-loop pattern at a frequency of 440 Hz. a) What is the wave speed on this string? (Ans. 378 m/s) b) What is the frequency of the fundamental mode of vibration for this string? (Ans. 220 Hz) c) If the same string were made to vibrate in a five-loop pattern, what would be its frequency? (Ans. 110 Hz)
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- The wave speed on a string is 775 m/s periodic waves are generated on that string by an oscillator with a period of 1.55 x 10^-4 seconds. A) What is the wavelength of these periodic waves on the string? B) At what frequency should the oscillator vibrate so that the wavelength is 28.0 cm?Consider a 1 meter-long string with a mass of 50 g attached to a string vibrator. The tension in the string is 80 N. When the string vibrator is turned on, it oscillates with a frequency of 64 Hz and produces a sinusoidal wave on the string with an amplitude of 4 cm and a constant wave speed. Give your answers to 3 sig fig. A)VWhat is the linear density of the medium?____kg/m B)What is the wave speed?____m/s C)What is the angular frequency?______Hz D) What is the time-averaged power supplied to the wave by the string vibrator?___WA 4.50 m long rope is stretched between two supports with a tension that makes the speed of transverse waves 48.0 m/s . a)What is the wavelength of the fundamental tone? b)What is the frequency of the fundamental tone? c)What is the wavelength of the second overtone? d)What is the frequency of the second overtone? e)What is the wavelength of the fourth harmonic? f)What is the frequency of the fourth harmonic?
- A standing wave pattern is created on a string with mass density p = 3 x 10-4 kg/m. A wave generator with frequency f = 62 Hz is attached to one end of the string and the other end goes over a pulley and is connected to a mass (ignore the weight of the string between the pulley and mass). The distance between the generator and pulley isL = 0.66 m. Initially the 2rd harmonic wave pattern is formed. 5)What is the wavelength of the wave? 6) What is the speed of the wave? 7) What is the tension in the string? 8) What is the mass hanging on the end of the string? 9) Keeping the frequency fixed at f = 62 Hz, what is the maximum mass that can be used to still create a coherent standing wave pattern?What is the frequency of the fundamental? What is the wave speed??