It is found that a 6.11m segment of a long string contains three complete waves and has a mass of 180g . The string is vibrating sinusoidally with a frequency of 60.0Hz and a peak - to - valley displacement of 12.9cm . (The "peak to valley" distance is the vertical distance from the farthest positive displacement to the farthest negative displacement.) Determine the power being supplied to the string.
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- Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)What beat frequencies result if a piano hammer hits three strings that emit frequencies of 127.8, 128.1, and 128.3 Hz?A piano wire has a linear mass density of =4.95103 kg/m. Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?
- Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t) and y2(x,t)=0.3msin(4m1x+3s1t) . What is the wave function of the resulting wave? [Hint: Use the trig identity sin(uv)=sinucosvcosusinvWhat frequency is received by a mouse just before being dispatched by a hawk flying at it at 25.0 m/s and emitting a screech of frequency 3500 Hz? Take the speed of sound to be 331 m/s.Two strings are attached to poles, however the first string is twice the linear mass density mu of the second. If both strings have the same tension, what is the ratio of the speed of the pulse of the wave from the first string to the second string?
- A speaker produces 1W1W of acoustical power. If the speaker projects sound uniformly in all directions, at what distance from the speaker will the loudness of the sound be 90.2 dB?A steel wire with mass 25.0 g and length 1.35 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. (b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz? (c) Calculate the tension required to obtain the proper frequency. (d) Calculate the wavelength of the string’s vibration. (e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)Davie flexed his lowest bass guitar with strings of length 1.00m between fixed points. One string, with linear mass density 60.0 g/m, is tuned to a 25.0Hz fundamental frequency. Calculate the tension of the string.
- One end of a horizontal string is attached to a smallamplitude mechanical 60.0 – Hz oscillator. The stringOs mass per unit length is 3.5 x 10 kg/m. The length L of the string may be adjusted by moving the pulley. (Figure 1) If the hanging mass m is fixed at 0.080 kg, how many different standing wave patterns may be achieved by varying L between 10 cm and 1.5 m? Express your answer as an integer. Figure OscillatorThe A string on a violin has a fundamental frequency of 430Hz. The length of the vibrating portion of the string is 35cm and has a mass of 0.35 g. Under what tension must the string be placed to obtain the desired frequency?A steel wire with mass 28.0 g and length 1.26 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. 2.22e-02 kg/m (b) What velocity wave on the string will produce the desired fundamental frequency of the E₁ string, 41.2 Hz? 90.6 m/s (c) Calculate the tension required to obtain the proper frequency. 182.2 N (d) Calculate the wavelength of the string's vibration. 2.20 m (e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.) 8.33 m