Consider a sound wave in air that has displacement amplitude of 0.1 mm. Calculate the pressure...
Question:
Consider a sound wave in air that has displacement amplitude of 0.1 mm. Calculate the pressure amplitude for frequencies of:
1) 500 Hz
2) 20,000 Hz
The relation between Pressure and Displacement amplitude:
The displacement amplitude of the wave is directly proportional to the displacement amplitude and it is inversely proportional to the bulk modulus of the air.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerGiven data:
- Displacement Amplitude {eq}(A) = 0.1 \rm \ mm {/eq}
(1)
The displacement amplitude is given as
$$\begin{align} A &= \dfrac{v \Delta...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
How Sound Waves Interact: Definitions & Examples
from
Chapter 21 / Lesson 5
18K
Sound waves, much like physical waves, interact causing disruptions to the sound in different ways. Identify examples of sound wave interference, constructive interference, destructive interference, and the 'beating' observed in interacting sound waves.
Related to this Question
- Consider a sound wave in air that has displacement amplitude 0.0150 mm. Calculate the pressure amplitude for the following frequencies. a) 170Hz b) 1700Hz c)17000Hz
- A sound wave in air at 20 degree Celsius has a frequency of 320 Hz and a displacement amplitude of 5.00 micro m. For this sound wave, calculate the (a) pressure amplitude, (b) intensity, and (c) sound
- A sound wave in air at 20? C has a frequency of 150 hz and a displacement amplitude of 5m. For this calculate pressure amplitude,intensity of sound and sound intensity level
- A sound wave of frequency 850 Hz propagating through air has a pressure amplitude of 6.5 Pa. What are the: (a) Wavelength (b) Particle displacement amplitude
- For sound waves in air with frequency 1000 Hz, a displacement amplitude of 1.2 x 10^( 8) m produces a pressure amplitude of 3.0 x 10^( 2) Pa. Use Vsound = 344 m/s. a) For 1000 Hz waves in air, what displacement amplitude would be needed for the pressure a
- A sound wave in air at 20 degree Celsius has a frequency of 155 Hz and a displacement amplitude of 5.20 x 10^{-3} mm. (a) For this sound wave calculate the pressure amplitude. Use 1.42 x 10^5 Pa for t
- A sound wave has a frequency of 100 Hz and pressure amplitude of 10 Pa, then the displacement amplitude is: (Given the speed of sound in air =340 m/s and density of air = 1.29 kg/m^3). (a) 3.63 x 10^{-5} m. (b) 3 x l0^{-5} m. (c) 4.2 x 10^{-5} m. (
- Calculate the pressure amplitude (in N/m2) of a 500 Hz sound wave in helium if the displacement amplitude is equal to 5.0 x 10-8 m. (r = 0.179 kg/m3, v = 972 m/s)
- Calculate the displacement amplitude of a 20 kHz sound wave in helium if it has a pressure amplitude of 8.0 x 10^{-3} N/m^2. (rho = 0.179 kg/m^3, v = 972 m/s.)
- Consider a sound source emitting 440 Hz sound waves. At some point in space the sound has intensity 120 dB (the threshold for damage of hearing). This corresponds to 1 W/m^2. Calculate the pressure amplitude (in pascals) of this wave, assuming a density o
- The pressure amplitude of a 500.0 Hz sound wave is 2.0 x 10^-2 Pa. The bulk modulus of air is 1.42 x 10^5 Pa and the density of the air is 1.2 kg/m^3. Find: (a) The speed of sound in air. (b) The displacement amplitude. (c) The intensity of the wave. (d
- A 1000 Hz sound wave with a pressure amplitude of 20\ N/m^2 in air is at the threshold of pain for human hearing. It has a pressure amplitude of \Delta p = 20\ N/m^2. What is the corresponding displacement amplitude?
- A sound wave traveling in 20 degrees C air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
- Calculate the speed of the sound wave in the air if its frequencies and wavelengths are 256 Hz and 1.32 m.
- The questions below refer to a sound wave of frequency 500 Hz in air at 20^\circ C. The density of air is 1.20 kg/m^3. \\ a) Calculate the speed of the sound wave. b) Calculate the wave wavelength. c) Calculate the bulk modulus. d) The amplitude of the
- The amplitude of a wave is 0.2 m. The time period of the vibration is 0.5 secs. Calculate the frequency, velocity and the wavelength of the wave.
- The pressure in a traveling sound wave is given by the following equation. p = (2.0 Pa) sin π[(1.50 m^{-1})x - (445 s^{-1})t]. (a) Find the pressure amplitude. (b) Find the frequency. (c) Find the wavelength. (d) Find the speed of the wave.
- Consider electromagnetic waves propagating in air. Determine the frequency of a wave with a wavelength of 5.80 mu m.
- A particular sound wave has a frequency of 1,000 Hz and intensity 1.40 \times 10^{-12} W/m^{2} and is in water at a temperature of 25 degree C. (a) What is the pressure amplitude of this wave? (b) What is the displacement amplitude of this wave?
- A sound wave in brass has a displacement amplitude of 3.00 mm. The frequency of the sound wave 750 Hz and the velocity is 2,813 m/s. If the density of brass is 8.47 \times 10^3 kg/m^3, then what is the pressure amplitude of the sound wave?
- The variation or change in pressure of a sound wave is given by Delta p = 0.018 (Pa) sin (2pi (0.660 m^{-1} times -512.0 (s^{-1} ) t) ). Determine the s_m (displacement amplitude in air density).
- Two sound waves in air (call them X and Y) have wavelengths of 1 m and 2 m, and amplitudes of 0.03 Pa and 3 Pa, respectively. a.) Find the frequency of each wave. b) Which sound wave has a higher pitch? c.) Which sound wave is louder? d.) Fill in the fo
- A sound wave of frequency 1310 Hz., propagating through air at 0 degrees Celsius, has a pressure amplitude of 11.0 Pa. What is the maximum particle speed (in meters/second)?
- A sound wave of frequency 1440 Hz, propagating through air at 0 degrees Celsius, has a pressure amplitude of 17.0 Pa. What is the maximum particle speed (in meters/second)?
- The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound level goes up by 38.0 dB?
- What is the pressure amplitude of a sound wave with an intensity level of 115 dB in air? N/m
- The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0dB?
- Suppose that a sound has a frequency of 110 wave/s and a wavelength of 3.1 meters. Calculate the wave-speed.
- Calculate the bulk modulus of air from the following data about a sound wave of wavelength 35 cm traveling in the air. The pressure at a point varies between (1.0 \times 10^5 \pm 14) Pa and the particles of the air vibrate in the simple harmonic motion of
- A wave has an amplitude of 0.25 m, a wavelength of 0.68 m and a frequency of 3.2 Hz. Find it's velocity.
- A sound wave traveling in 20 deg C air has a pressure amplitude of 0.430 Pa. What is the intensity of the wave? (Assume the density of air is 1.29 kg/m^3. Enter your answer in W/m^2.)
- The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 decibels?
- A sound wave has frequency of 631 Hz and a wavelength of 0.54 m in air. What is the temperature of the air? Assuming the velocity of sound at 0 ^\circ C is 334 m/s.
- A sound wave produced by a clock chime 515 m away is heard 1.5 sec later. What is the speed of sound in air? Determine the period and the wavelength of the wave, considering a frequency of 436 Hz.
- The air pressure variations in a sound wave cause the eardrum to vibrate. Find the maximum velocity of the eardrum for vibrations of amplitude 3.87 times 10^-8 m at a frequency of 20.0 Hz.
- The maximum pressure amplitude, the human ear can tolerate is 28 Pa. (l atm = 1 x 10 ^5\ Pa). What is the displacement amplitude for such a sound in the air of density 1.211 Kg/m^3 at a frequency of 1,000 Hz and a speed of 343 m/s?
- The wavelength in air of a sound wave of frequency 500 Hz is: a) 0.69 m b) 0.75 m c) 1.5 m d) 1.8 m
- A certain transverse wave is described by the equation y(x,t)= (9.50 mm)\sin2\pi (t0.0360s - x0.280m). A. Determine this wave's amplitude. B. Determine this wave's wavelength. C. Determine this wav
- Consider a 0.50 meter-long string with wave propagation speed of 150 meters per second. Find the wavelength in air of the sound produced.
- Consider a wave that travels a distance of 3 meters in 1 second with a frequency of 2 hertz. What is its amplitude? A) 4 meters. B) 2 meters. C) Not enough information is given. D) 3 meters. E) 1 met
- Consider electromagnetic waves propagating in air. Determine the frequency of a wave with a wavelength of 5.60 nm.
- The air pressure variations in a sound wave cause the eardrum to vibrate. Find the maximum velocity and acceleration of the eardrum for vibrations of amplitude 1.5 x 10-8 m at a frequency of 19.0 Hz.
- What is the wavelength of a 340 Hz tone in air? What is the wavelength of a 34,000 Hz ultrasonic wave in air?
- A sound wave in air produces a pressure variation given by the formula, p(x, t) = 0.90 cos(pi/2 (x - 360t)), where p is in pascals, x is in meters and t is in seconds. (a) Find the pressure amplitude
- A wave is described by y = (2.08 cm) sin(kx- φt), where k = 2.01 rad/m, φ = 3.56 rad/s, x is in meters, and t is in seconds. Determine the amplitude, wavelength, frequency, and speed of the wave. (a) [{Blank}] cm (amplitude) (b) [{Blank}] m (wa
- Consider electromagnetic waves propagating in air. Determine the frequency of a wave with a wavelength of 5.80 km.
- In the air, the distance traveled by a sound wave is 140 meters during 400 vibrations. If the frequency of the tuning fork is 500 Hz, find the velocity of sound in air.
- A sound wave has a frequency of 686 Hz in air and a wavelength of 0.50 m. What is the temperature of the air? Find wavelengths for 20 Hz. Find wavelengths for 20,000 Hz.
- Consider a plane wave propagating in air, whose pressure in Pa as a function of space and time is given by p(x, t) = 0.7e^j(3000t - 5.83x). Determine the frequency of oscillation in Hertz.
- What is the wavelength of a sound wave with a frequency of 440 Hz if the speed of sound in air is 340 m / s?
- What must be the pressure amplitude in a sound wave in air (0^oC) if the air molecules undergo a maximum displacement equal to the diameter of an oxygen molecule, about 2.2 x10^-10 m? (a) Assume a
- Determine the speed of sound waves in water, and find the wavelength of a wave having a frequency of 242 Hz. Take Bulk modulus for water = 2000 MPa.
- Consider a wave on a string that has an amplitude of 8 cm, a wavelength of 0.7 m and a propagation speed of 2.6 m/s. a) What is the period of this wave? b) What is the frequency of this wave?
- The variation or change in pressure of a sound wave is given by Delta p = 0.018 (Pa) sin (2pi (0.660 m^{-1} times -512.0 (s^{-1} ) t) ). Determine pressure amplitude.
- A sound wave with a frequency of 440 Hz has a wavelength of 0.77 meters. Find the speed of sound in m/s.
- The frequency of the faintest audible sound is about 1,000 Hz. What is the pressure variation corresponding to this sound? a. 3 x 10^-5 Pa b. 30 Pa c. 5 x 10^-2 Pa d. 10^12 Pa
- What is the wavelength in meters of a sound wave in air having a frequency of 440 Hz ?
- What is the frequency of a sound wave in air at 20^{\circ}C that has a wavelength of 0.4 m?
- Consider a plane wave propagating in air, whose pressure in Pa as a function of space and time is given by p(x, t) = 0.7e^j(3000t - 5.83x). Calculate the RMS pressure amplitude.
- A sound wave travels in air at a frequency of 500 Hz. If part of the wave travels from air into water, does its frequency change? Does its wavelength change? Note that the speed of sound in air is abo
- Find the frequency of a sound wave moving in air at room temperature (20.0) with a wavelength of 0.667 m.
- The following equation can be given for a transverse wave traveling on a string, y = A sin (k x - w t). A = 2 mm, k = 19 rad/m, w = 480 rad/sec (a) Find the amplitude of the transverse wave. (b) Find the frequency. (c) Find wave velocity. (d) Give the wav
- A sound wave of frequency 500 Hz travels from air into water. The speed of sound in air is 330 ms-1 and in water 1490 ms-1. What is the wavelength of the wave in (a) air and (b) water?
- A sound wave has a frequency of 1640 Hz. The air temperature is 46 ^\circ F. a. What is the speed of the sound wave? and b. What is the wavelength of the sound wave?
- A wave traveling in the +x direction has an amplitude of 0.258 m, a speed of 6.87 m/s, and a frequency of 19.7 Hz. Write the equation of the wave.
- 1. A sound wave with a frequency of 440 Hz has a wavelength of 0.77 meters. Find the speed of sound in m/s. 2. Ocean waves are measured to be traveling at 1.5 m/s. If their wavelength is 2.0 meters,
- Calculate the wavelength in air at 20 degrees C for sounds in the maximum range of human hearing. the speed of sound in air is 343 m/s. a) Calculate the wavelength of a 20 Hz wave. b) Calculate the wavelength of a 20,000 Hz wave. c) What is the wavelengt
- What is the wavelength of a sound wave with a frequency of 440 Hz if the speed of sound in air is 340 meters per second?
- 2. If the frequency of the sound wave in Problem 1 is 400 Hz and its displacement amplitude is 4.82 micro m ?(um), find the bulk modulus of the air at the location where the intensity level was measur
- Which one of the following frequencies of a wave in the air can be heard as an audible sound by the human ear? A. 1,000 Hz B. 100,000 Hz C. 0.10 Hz D. 10 Hz
- A wave is described by y = 0.020 2 sin(kx - wt), where k = 2.12 rad/m, w = 3.60 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave
- A wave has an offset (in meters) = (0.45) in (8 \pi t+ \pi X) where t is expressed in seconds and X in meters. Determine the amplitude, frequency, wave length and speed of wave.
- A sound wave of frequency 166 Hz travels with a speed of 332 m/s along the positive x-axis in air. Each point of the medium moves up and down through 5.0 mm. Write down the equation of the wave and c
- What is a wavelength of a 512 Hz sound wave in 20 degrees C air?
- What is the wavelength of a 512 Hz sound wave in 20 degrees C air?
- A sound wave has a frequency of 619 Hz in air and a wavelength of 0.47 m. What is the temperature of the air? Assume the velocity of sound at 0 degrees C is 325 m/s. Answer in units of degrees C.
- A sound wave has a frequency of 677 Hz in air and a wavelength of 0.54 m. What is the temperature of the air? Assume the velocity of sound at 0 degrees C is 325 m/s. Answer in units of degrees C.
- Assume that the velocity of sound in air is about 1100 feet per second. A tuning fork that vibrates at 250 HZ gives rise to a sound wave having a wavelength of about ________. a) 0.227 ft. b) 4.4 ft c) 250 ft d) 275,000 ft.
- A wave with frequency 11.3 Hz and amplitude 48.1 mm moves in the positive x-direction with a speed of 5.6 m/s. What is the waves wavelength?
- A sound wave in the air has a frequency of 500 Hz and a wavelength of 0.68 m. What is the air temperature?
- A sound wave has a wavelength of 0.66 meters. If the frequency of the wave is 512 Hz (high C), what is the wave velocity?
- The equation of a sound wave in air is P = 0.01 cos (l000t - 3x) where P, x, and t are in SI. The bulk modulus of elasticity is 1.4 \times 10^5 N/m^2. The displacement amplitude is: (a) 0.24 m (b) 0.24 \times 10^{-7} m (c) 8 \times 10^{-7} m (d) 10 m
- A sound wave has a frequency of 686 Hz in air and a wavelength of 0.50 m. (a) What is the temperature of the air?
- A sound wave has a frequency of 707 Hz in air and a wavelength of 0.50 m. What is the temperature of the air?
- The speed of sound in air at 20 degrees C is 344 m/s. (a) What is the wavelength of a sound wave with a frequency of 784 Hz, corresponding to the note G5 on a piano, and how many milliseconds does each vibration take? (b) What is the wavelength of a soun
- A sinusoidal sound wave with frequency 283 Hz is moving in thenegative x direction. This wave is at its trough of -0.3 Pascals when x=0 m and t=0 s. A)What is its wavelength? B)Write down the equation describing this wave, plugging in the values given (
- Calculate the wavelength for visible light of frequency 5.30 x 1014 Hz. Assume the wave is propagating in air.
- A sound wave is traveling in the negative y-direction with a frequency of 100.0 Hz, an amplitude of 2.0 cm, and a speed of 330.0 m/s. At t=0 and y=0 m, the medium is not displaced from equilibrium. Write a formula xi(x,t) for this wave as a function of bo
- Given the speed of sound is 331 m/s in air, and a sound wavelength of 7.11 m, what is the frequency of the sound in Hz?
- A periodic vibration at x = 0, t = 0 displaces air molecules along the x-direction by S_{max}= 3.2\times 10^{-5} 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 \rho
- The amplitude of a wave traveling on a string is 0.250 m. The 80.0-Hz wave is traveling in the positive x-direction at a wave speed of 17.5 m/s. Assume this wave is a sinusoidal wave. A. Determine it
- Two waves traveling on a string in the same direction both have a frequency of 150 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original wav
- Consider a wave that has a frequency of 6.1 kHz and a wavelength of 0.11 m. Write an equation that might describe this wave. (Assume that the amplitude is 1 m and the wave propagates in the positive x direction.)
- Wave amplitude is related to what? a. wave velocity b. frequency c. energy d. wavelength
- Calculate the wavelength in air at 20 degrees C for sounds in the maximum range of human hearing. The speed of sound in air is 343 m/s. a.) Calculate the wavelength of a 20 Hz wave. b.) Calculate th
- The equation of a traveling sound wave is y = 6.0 sin (600t \times 1.8x) where y is measured in 10^{-5} m, t in second and x in meters. (a) Find the ratio of the displacement amplitude of the particl
- Middle C has a frequency of 261 Hz. Using the speed of sound = 340 m/s, 1. calculate the wavelength of the middle C. 2. what is the frequency of the 2nd harmonic of mIddle C? 3. what is the wavelen
- A wave with frequency 11.3 Hz and amplitude 48.1 mm moves in the positive x-direction with a speed of 5.6 m/s. What is the wave's wavelength?
- Calculate the frequency of beats produced in the air when two sources of sound are activated, one emitting a wavelength of 32 cm and the other of 32.2 cm. The speed of sound in air is 350 m s-1.
- Calculate the frequency of beats produced in the air when two sources of sound are activated, one emitting a wavelength of 32 cm and the other of 32.2 cm. The speed of sound in air is 350 m/s
Explore our homework questions and answers library
Browse
by subject