You have a pipe that is closed at one end. In a 22.0 ℃ room, you find that two of the harmonics occur at 294 Hz and 490 Hz. a) What is the shortest possible length of this pipe? b) What would the fundamental frequency be if you opened the other end of the pipe?
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You have a pipe that is closed at one end. In a 22.0 ℃ room, you find that two of the
harmonics occur at 294 Hz and 490 Hz.
a) What is the shortest possible length of this pipe?
b) What would the fundamental frequency be if you opened the other end of the pipe?
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- The longest pipe found in most medium-sized pipe organs is 5.24 mm (17.2 ft). a) What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at both ends? Express your answer in meters. b) What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at one end and closed at the other? Express your answer in meters.An 80.00 cm guitar string has a mass of 3.25g. It has been tuned so that its fundamental mode of oscillation has a frequency of 256 Hz. A) What wave speed is required on the string? B) What string tension is required? C) What is the wavelength of the sound waves produced in the surrounding air at 20 degrees Celcius? D) Assume the string is isotropically emitting a total acoustic power of 8.5 mW, determine the sound level 22m away? (assume a point source)Consider a tube open at both ends that has a length of 0.500m.a) What is the period of the fundamental frequency?b) What is the wavelength of second harmonic frequency?c) You strike a tuning fork, and hear 3 beats per second when playing the fundamentalfrequency with the tube. What are the possible frequencies of the tuning fork?
- A guitar string with a mass density µ =2 x 10-4 kg/m is L =0.92 m long on the guitar. The stringis tuned by adjusting thetension to T = 73.7 N. 1) With what speed do waves on the string travel? 2) What is the fundamental frequency for the string? 3) Someone places a finge a distance of 0.146 m from the top end of the guitar. What is the fundamental frequency in this case? 4) To down tune the guitar ( so eveything plays at a lower frequency) how should the tension be adjusted? Choose: a) increase the tension b) decrease the tension c) changing the tension will only alter the velocity not the frequency.4) You have a pipe that is closed at one end. In a 22.0 °C room, you find that two of the harmonics occur at 294 Hz and 490 Hz. a) What is the shortest possible length of this pipe? b) What would the fundamental frequency be if you opened the other end of the pipe?The longest pipe found in most medium-sized pipe organs is 3.92 m (12.9 ft ). a)What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at both ends? b)What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at one end and closed at the other?
- A 2.30-m long pipe is in a room where the temperature is 22°C. What is the fundamental frequency if the pipe is closed at one end?A music instrument is open only on one end. When a musician blows air in it, it is at the body temperature of 36C. If the musician places a finger to form a column of 20cm, what is the fundamental frequency of the sound produced? What is the wavelength of that sound wave?An organ pipe that is open both ends has a fundamental frequency of 382 Hz at 0 ° C. Calculate the fundamental frequency for this pipe at 35 ° C.
- The linear mass density of a copper, 36.0cm long cable is 0.00750kg/m.The wire is fastened at each end. The speed of sound in air is 344m/s. The wavelength ofa standing wave that is set up in the wire is 14.4cm. The wire’s tension is 254.8N. a) Which harmonic is present in the standing wave? b) ) What is the velocity of the wave in the wire? c) ) What is the frequency of the wave? d) ) How far from the wire’s end is the first anti-node?An old mining tunnel disappears into a hillside. You would like to know how long the tunnel is, but it’s too dangerous to go inside. Recalling your recent physics class, you decide to try setting up standing-wave resonances inside the tunnel. Using your subsonic amplifier and loudspeaker, you find resonances at 4.5 Hz and 6.3 Hz, and at no frequencies between these. It’s rather chilly inside the tunnel, so you estimate the sound speed to be 335 m/s. Based on your measurements, how far is it to the end of the tunnel?Part 1: Tube open at both ends A 2.57 m open ended pipe has two successive harmonics at 495 Hz & 550 Hz. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the air temperature. f₁ = λη Ξ V = T = Part 2: String fixed at both ends A copper cable of radius 0.6 cm is fixed at both ends and has a tension of 36,910 N. For this cable, the fifteenth harmonic has a frequency of 390 Hz. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the length of the cable. f₁ = 2₁ = V = L = Part 3: Tube closed at one end A 0.21 m pipe that is closed at one end emits a 2695 Hz wave that has a wavelength of 0.12 m. Determine what harmonic the wave the fundamental frequency, the fundamental wavelength, the wave speed, & the air temperature. n= f₁ = °C 2₁ = V = T = °C