The pressure oscillations in an acoustic wave can be described by the formula p = P o* cos 5 (2 * n * t). Draw the spectrum for the intensity of this wave provided that Po = 16 Pa, the frequency is f = 200 Hz, the mass density is p = 1.28 kg / m ³ and the sound speed is 333 m / s.
Q: A stretched string is 2.11 m long and has a mass of 20.7 g. When the string oscillates at 440 Hz,…
A:
Q: A traveling sinusoidal wave is described by the wave function y(x, t) = (0.642 m)sin(6.73πt – пx +…
A:
Q: Your experiments on a particular insulator indicate that a 20 C the average speed of sound in the…
A: The velocity of an object is defined as the distance covered by that object in unit time. It can be…
Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…
A: The standard equation of the wave formed when two waves undergone constructive interference is…
Q: A wave is introduced into a thin wire held tight at each end. It has an amplitude of 8.8 cm, a…
A: In this question we have to find the period of a wave. Please give positive feedback if the answer…
Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 0 = 2.7 x…
A: The carrier velocity (also called group velocity) of two superimposed signal is given by,…
Q: traveling sinusoidal wave is described by the wave function: y(x, t) = (0.659 m)sin(7.91pi t − pi x…
A:
Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 2.9 x 102…
A: Given : Frequency of the first wave, ω1 = 2.7×1012 rad/s Frequency of the second wave, ω2 =…
Q: The mathematical model for a wave on a tightly stretched wire is y(x, t) = 0.340 sin 12xt Злх + 4…
A: Given: y(x,t) = 0.340 sin (12πt -3πx + π/4)μ=86.0 g/m
Q: A sinusoidal wave traveling has an amplitude of A=15 cm, a wavelength of =38 cm, and a frequency of…
A: The general expression for a sinusoidal wave travelling along +x direction is given by…
Q: A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when…
A: Given:A string of length L = 2.5 m and mass m = 0.095 kg and when the string is plucked, a…
Q: A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(xL−tτ)], where BBB…
A:
Q: Problem 7: An audio engineer takes decibel readings at distances of r1 = 11 m and r2 = 25 m from a…
A: r1 = 11 mr2 = 25 mβ1 =103 dB
Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 0 = 2.7 x…
A: The velocity of carrier wave (group velocity) of a modulated signal is given by,…
Q: A standing wave on a string of length L = 3 m is described by the following equation: y(x,t) = 0.08…
A: Comparing the given equation with standard equation y=Asin(kx)cos(ωt)
Q: There was an accident and NASA engineers are trying to sort out where two of their Mars Rovers,…
A: Recall VαTSpeed of sound is proportional to square root of temperature.
Q: The pressure in a traveling sound wave is given by the equation ΔP = (1.62 Pa) sin [π (0.714 m-1)x -…
A:
Q: Calculate the pressure amplitude (in m) of a 45 kHz sound wave in pure hydrogen if it has a…
A: Given value--- frequency = 45 kHz. displacement Amplitude = 1.5 mm. density = 0.08 kg/m3 . v =…
Q: A traveling wave is described by the equation (x,t)=1.2cm sin[2pi(x/2.7 + t/0.3)] where x is in…
A: the equation for the wave is,
Q: A wire of mass 12 g and length 0.5 m under a tension of 680 N has an amplitude of 0.38 cm. If the…
A:
Q: s(y,t) = (3.5nm) sin [(12.5 rad/m) y + (4340 rad/s) t] describes a soundwave. What is the velocity…
A: The displacement of the wave at equilibrium position y and time t can be expressed as, Here, A, k…
Q: A spherical wave with a wavelength of 4.1 m is emitted from the origin. At one instant of time, the…
A:
Q: The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis…
A:
Q: Oscillation of a 300 Hz tuning fork sets up standing waves in a string clamped at both ends. The…
A:
Q: A speaker puts out a constant sound with a power of P = 15 milliwatts and frequency fs = 256 Hz.…
A: Power (P) = 0.015 W fs = 256 Hz
The pressure oscillations in an acoustic wave can be described by the formula
p = p 0 * cos 5 (2 * π * t).
Draw the spectrum for the intensity of this wave provided that p 0 = 16 Pa, the frequency is f = 200 Hz, the mass density is ρ = 1.28 kg / m 3 and the sound speed is 333 m / s.
Step by step
Solved in 2 steps with 1 images
- Answer the following step by step: A)The range of frequencies audible to humans is from about 20 Hz to 20kHz. Assuming that the speed of sound in air is 343 m/s, the wavelength of a 20 kHz sound is: a) 58 cm b) 1.8 cm c) 6860 km d) 400 km B) A 640 Hz tuning fork is placed on the open edge of a resonance tube of initial length L = 0 cm. Assume that the speed of sound is 330 m/s. As the tube becomes longer, successive whistles of maximum intensity (for example, from L1 to L3, or from L3 to L5, etc.) are heard at intervals L. What is the value L. Note: Be careful with the units a) 51.7 cm b) 194 cm c) 19.4 km d) 25.8 km e) 12.9 cm C) In a tube that has one end closed (the other open), with a fundamental frequency of 256 Hz, which of the following frequencies cannot produce resonance? a) 5.12 kHz b)There is no restriction to any frequency c) 19.7 kHz d) 768 Hz e) 1.28 kHzThe equation of a sound wave traveling through water is given as s = 3.00×10^-4 sin(2000t − 1.348x), where s and x are in meters and t is in seconds. (a) The wavelength of the sound is (b) The velocity of water molecules at x = 0 and t = 3.14 s is (c) If the density of water is 1000 kg/m^3 and the speed of the sound wave in water is 1482 m/s, then the maximum pressure variation isA capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid. The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ . The SI units of surface tension are J/m2. The capillary wave speed can be written as ?=???????v=kσaρbλc , where k is some unitless constant. What must be the value of c?
- A transverse traveling wave on a taut wire has an amplitude of 0.200 mm and a frequency of 530 Hz. It travels with a speed of 196 m/s. (a) If the wave equation is written in the form y = A sin(kx - ot), what are the parameters A, k, and w? m rad/m rad/s (b) The mass per unit length of this wire is 4.30 g/m. Find the tension in the wire.The normal human ear is sensitive to sounds with frequencies from about 20 Hz to about 20,000 Hz. (a) What is the corresponding range of wavelengths in air? (The speed of sound in air is 344 m/s.) ?min = ?max = (b) What is the corresponding range of wavelengths in iron? (The speed of sound in iron is 5130 m/s.) ?min = ?max =The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. (a) Determine the angular frequency for this wave (in rad/s). 31.4 rad/s (b) Determine the wave number for this wave (in rad/m). 3.6 This is the wave length not the wave number. rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y = sin (d) Calculate the maximum transverse speed (in m/s). m/s