The clarinet is well-modeled as a cylindrical pipe that is open at one end and closed at the other. Find the wavelength and frequency of the third normal mode of vibration of a clarinet's air column with effective length of 0.403 m. Take 343 m/s for the speed of sound inside the instrument. wavelength: frequency: Hz
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- A string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the distance between adjacent nodes is 43 cm. The tension of the wire is 86 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.A string clamped at two ends is vibrating at a fundamental frequency of 443.5 Hz such that the distance between adjacent nodes is 44 cm. The tension of the wire is 93 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m. Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. The sound wave is directly incident on a sheet of paper of surface area A = 0.013 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.
- Vibration of the dishwasher causes standing waves in a cup. Crests form four concentric rings, and the diameter of the cup is 6.0cm. v=1.5m/x. What is the frequency of the vibrations?A source emits sound waves isotropically. The intensity of the waves 1.80 m from the source is 2.30 x 10-4 W/m². Assuming that the energy of the waves is conserved, find the power of the source. Number i UnitsA violin string 30.4 cm long with linear density 0.674 g/m is placed near a loudspeaker that is fed by an audio oscillator of variable frequency. It is found that the string is set into oscillation only at the frequencies 1350 and 1800 Hz as the frequency of the oscillator is varied over a certain range. What is the tension in the string? Number i Units
- The 2nd harmonic of a string of length 40cm and linear mass density 2.7g/m has the same frequency as the 5tn possible harmonic of a closed pipe of length 0.9m. Find the tension in the string. N **Use 340 m/s for the speed of sound in air.A rope has a mass of 1 kg and a length of 15 m. It is fixed at both ends. If the frequency of the first harmonic on this rope is 0.68 Hz, what is the tension of this rope in N? Enter a number with one digit behind the decimal point.