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 = A₁ = 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 = °C 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 = 2₁ = V= T = °C

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 = A₁ = 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 = °C 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 = 2₁ = V= T = °C

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 6. A vocal tract has a length of 15.3cm and is represented by the 3rd harmonic. 6a. How many nodes…

A: (6a) For a vocal tract one end of the pipe is closed. So that there will be two nodes and two…

Q: What is the work function, W , of the metal surface? If this photocathode is illuminated by light…

Q: An electron beam is accelerated by a fixed voltage of V = 6,500.V (V= 6.50 kV). The resolution that…

A: The de Broglie wavelength of the electron is λ = 12.27VAo where, V is the potential. The energy of…

Q: A taut string for which 0.054 kg/m is under a tension of 80 N. We want to generate sinusoidal waves…

A: The wave speed in string is calculated by using the formula v=Tμ , where T=80 N is the tension force…

Q: 18. A steel wire in a piano has a length of 1.44 m and a mass of 1.72 X 10-2 kg. The wire must be…

A: Here given a steel wire of length 1.44 m . Mass is 1.72 × 10-² kg. The fundamental vibration is…

Q: Problem 1 Let y1 = Asin(kax – wt + a) and y2 = B sin(kr – wt + B) be the equa- tions representing…

Q: Two identical piano wires have a fundamental frequency of 660 Hz when kept under the same tension.…

Q: Determine the time period, angular frequency, and natural frequency. In the table the time should be…

A: Time period :- Time period of the signal is define as to complete cycle. From the graph it is clear…

Q: 1. Find the rms amplitude of the periodic signal with period T=2s shown in the following Figure. The…

A: Given : A signal with profile v= 2 e-2tOur task is to calculate the value of the rms value of the…

Q: A steel cable with total length 40 m and mass 120 kg is connected to two poles. The tension in the…

A: Write the given values with the suitable variables. L=40 mm=120 kgT=2996 Nf=2 Hz Here, L, m, T, and…

Q: A transverse wave with a frequency of 785 Hz ,8.00 m wavelength, and 10.00 mm amplitude is…

A: Concept: In order to determine the time taken for a crest to travel the length of wire we will…

Q: Please attached picture. The F major triad is shown above. If F4 is the fundamental (or root) of…

A: From Given figure C5=523 Hz A4=436 Hz F4= 349 Hz

Q: 7. A violin wire has a mass of 2.02 g and length 72.5 cm. It is stretched with a tension of 23.1 N.…

A: We have given Mass m = 2.02g = 2.02 × 10-3 kg Length L= 72.5 cm = 0.725 m Tension T = 23.1 N…

Q: A uniform 188 N bar is supported horizontally by two identical wires A and B. A Bar Cube B A small…

Q: 6. There is a long steel wire of length 3.25 m where its upper end is attached to the ceiling. At…

Q: 5. Spherical waves of wavelength 45.0 cm propagate outward from a point source. (a) Explain how the…

Q: A gold cable of radius 0.2 cm is fixed at both ends and has a tension of 81,540 N. For this cable,…

A: As per guideline we are suppose to do only one question from multiple questions and three subpart…

Q: Observers in the Earth frame observe two flashes of light, flash A at t, =0 , x, =0 and %3D -6 flash…

A: As per our policy, we can answer the first three. Kindly resubmit your question for the fourth one.

Q: of an 80-cm-long open pipe change if you: (a) change the length from 80 cm to 100 cm? (Find the…

Q: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz.…

Q: A transverse wave with a frequency of 871 Hz ,6.00 m wavelength, and 8.00 mm amplitude is…

Q: A sin(ka – wt) and y2 = A sin(kx + wt) represent two Let y1 = al amplitude, traveling in opposite…

Q: Part A Determine the length of an open organ pipe that emits middle C (262 Hz) when the temperature…

A: Given data: The frequency is f=262 Hz. The temperature is T=10°C. Part (a) At the given…

Q: A string along which waves can travel is 2.63 m long and has a mass of 103 g. The tension in the…

Q: Wavelength No. of Cycles Frequency f Wave Speed v Harmonic String Length L (m) Must be in decimal…

A: Given : Harmonic No. n String Length (L) in m 3 4 4 4…

Q: 4. The solid line below is a graph of pressure vs. position for a harmonic pressure wave in air (a…

Q: 1. Consider the experimental setup shown below. The length of the string between the string vibrator…

A: L=1m μ=0.0065 kg/mm=6.00 kgn=6vs=343 m/s

Concept explainers

Properties of sound

A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).

Quality Of Sound

A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.

Categories of Sound Wave

People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.

Question

Certainly! Below is the transcribed text along with explanations suitable for an educational website:

---

### Part 1: Tube Open at Both Ends

A **2.57 m** open-ended pipe has two successive harmonics at **495 Hz** and **550 Hz**. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the air temperature.

- \( f_1 = \)
- \( \lambda_1 = \)
- \( v = \)
- \( T = \) °C

### 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.

- \( f_1 = \)
- \( \lambda_1 = \)
- \( v = \)
- \( L = \)

### 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 is, the fundamental frequency, the fundamental wavelength, the wave speed, and the air temperature.

- \( f_1 = \)
- \( \lambda_1 = \)
- \( v = \)
- \( T = \) °C

---

### Explanation

This set of exercises involves the study of sound waves in various mediums and configurations.

- **Part 1** deals with a pipe open at both ends, commonly analyzed for understanding standing waves, where nodes and antinodes form at specific harmonic frequencies.
- **Part 2** involves a string fixed at both ends. It requires understanding of how tension, length, and material properties affect wave properties like speed and frequency.
- **Part 3** examines a pipe closed at one end, where only odd harmonics are present compared to the open pipe scenario.

Each part requires calculations involving fundamental frequency and wavelength, wave speed, and in some cases, air temperature, reflecting real-world applications in acoustics and wave physics.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Question A6 The phonon dispersion curve for sodium chloride in the [111] direction is shown below. The unit cell parameter is a = 5.6402 Å. Frequency (THz) 0 0.1 0.2 0.3 0.4 0.5 Reduced wavevector (EEE) What is the speed of sound for longitudinal vibrations in this direction?
A steel cable with total length 44 m and mass 120 kg is connected to two poles. The tension in the cable is 3,303 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable. m
A transverse wave with a frequency of 867 Hz ,7.00 m wavelength, and 8.00 mm amplitude is propagating on a 5.00 m, taught wire. If the mass of the wire is 41.00 g, how much time in seconds does it take for a crest of this wave to travel the length of the wire? Please give your answer with two decimal places.
Assume that your eye acts as a diffraction limited telescope with a round primary aperture of diameter D = 4.50 mm . Two lights are arranged to be perpendicular to your line 1. 20.0cm (assuming Rayleigh's criterion): of sight with a separation of s = If the lights emit at 1, = 630 nm what is the furthest distance that we will see them as two а. separate lights, d? b. If the lights emit at 1, = 440 nm what is the furthest distance that we will see them as two separate lights, d;?
Problem 31
13 = 342 237. € X Your response differs from the correct answer by more than 10%. Double check your calculations. m (c) Suppose the wire is carbon steel with a density of 7.89 x 10³ kg/m³, a cross-sectional area A = 2.68 x 10-7 m², and an elastic limit of 2.50 x 108 Pa. Find the fundamental frequency if the wire is tightened to the elastic limit. Neglect any stretching of the wire (which would slightly reduce the mass per unit length). Hz EXERCISE HINTS: GETTING STARTED I I'M STUCK! (a) Find the fundamental frequency and second harmonic if the tension in the wire is increased to 118 N. (Assume the wire doesn't stretch or break.) ffundamental = Hz f2nd harmonic= Hz (b) Using a sound speed of 342 m/s, find the wavelengths of the sound waves produced. λ (larger) = 2.00 X Follow the example. Once you have computed the correct fundamental frequency, you should be able to determine the wavelengths of the sound waves. m > (smaller) = 1.00 X Follow the example. Once you have computed the…
A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.500 m and a mass of 3.75 g Part A What is the frequency f1 of the string's fundamental mode of vibration? Part B What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHz?
Problem 1 Let y1 = A sin(kr – wt + a) and y2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. a) What are the phasors for each wave, denoted 1 and 2? b) What is the sum of the phasors? c) What is the radius R and phase angle o of the phasor in part b)?
Part A Two steel guitar strings have the same length. String A has a diameter of 0.60 mm and is under 430.0 N of tension. String B has a diameter of 1.5 mm and is under a tension of 850.0 N . You may want to review (Pages 461 - 463) . Find the ratio of the wave speeds, vA/VB, in these two strings. Express your answer using two significant figures. Hνα ΑΣφ VA/VB = Submit Request Answer
The pan flute is a musical instrument consisting of a number of closed-end tubes of different lengths. When the musician blows over the open ends, each tube plays a different note. The longest pipe is 0.33 m long. What is the frequency of the note it plays?
1. what is amplitude A of the wave in cm 2. what is the wavelength of the wave in m 3. what is the period T of the wave in ms 4. calculate the wave speed v in ms
A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.600 m and a mass of 4.50 g. Part A What is the frequency of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. ΕΞΙ ΑΣΦ Submit Part B Request Answer 71= 2 What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f-16 kHz? Express your answer exactly. 197) ΑΣΦ 4 Ha ?