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Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 18, Problem 57PQ
To determine
The beat frequency between two hypothetical waves.
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Students have asked these similar questions
A certain transverse wave is described by
y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(x/L−t/τ)],
where B = 6.30 mm, LLlambda = 30.0 cm, and τ = 3.20×10−2 ss.
Determine the wave's amplitude.
Express your answer in meters.
Determine the wave's wavelength.
Express your answer in meters.
Determine the wave's frequency.
Express your answer in hertzes
.
Determine the wave's speed of propagation.
Express your answer in meters per second.
Determine the wave's direction of propagation.
+x or -x?
O y1 = 0.01 sin(5Ttx-40tt); y2 = 0.01 sin(5Tx+40Tt),
%3D
O y1 = 0.005 sin(5tx-40nt); y2 = 0.005 sin(5Ttx+40nt),
Two sinusoidal waves travelling in the same direction with the same amplitude,
wavelength, and speed, interfere with each other to give the resultant wave:
y_res (x,t) = 4 cm sin(4Ttx-60Tt+Tt/3). The amplitude of the individual waves
%3D
generating this wave is:
2 cm
2/v3 cm
8 cm
O 4 cm
O 4/13 cm
ding waye on a wire 1.8m long clamped at
Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is:
Chapter 18 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 18.1 - As shown in Figure 18.3, two pulses trawling along...Ch. 18.1 - Prob. 18.2CECh. 18.2 - A wave pulse travels to the left on a rope as...Ch. 18.3 - Noise cancellation headphones use a microphone to...Ch. 18.8 - Tuning the Guitar Before a performance, a piano is...Ch. 18 - Prob. 1PQCh. 18 - Two pulses travel in opposite directions along a...Ch. 18 - Prob. 3PQCh. 18 - Prob. 4PQCh. 18 - Prob. 5PQ
Ch. 18 - The wave function for a pulse on a rope is given...Ch. 18 - Prob. 7PQCh. 18 - Prob. 8PQCh. 18 - Prob. 9PQCh. 18 - Prob. 10PQCh. 18 - Prob. 11PQCh. 18 - Two speakers, facing each other and separated by a...Ch. 18 - Prob. 13PQCh. 18 - Prob. 14PQCh. 18 - Prob. 15PQCh. 18 - As in Figure P18.16, a simple harmonic oscillator...Ch. 18 - A standing wave on a string is described by the...Ch. 18 - The resultant wave from the interference of two...Ch. 18 - A standing transverse wave on a string of length...Ch. 18 - Prob. 20PQCh. 18 - Prob. 21PQCh. 18 - Prob. 22PQCh. 18 - Prob. 23PQCh. 18 - A violin string vibrates at 294 Hz when its full...Ch. 18 - Two successive harmonics on a string fixed at both...Ch. 18 - Prob. 26PQCh. 18 - When a string fixed at both ends resonates in its...Ch. 18 - Prob. 28PQCh. 18 - Prob. 29PQCh. 18 - A string fixed at both ends resonates in its...Ch. 18 - Prob. 31PQCh. 18 - Prob. 32PQCh. 18 - Prob. 33PQCh. 18 - If you touch the string in Problem 33 at an...Ch. 18 - A 0.530-g nylon guitar string 58.5 cm in length...Ch. 18 - Prob. 36PQCh. 18 - Prob. 37PQCh. 18 - A barrel organ is shown in Figure P18.38. Such...Ch. 18 - Prob. 39PQCh. 18 - Prob. 40PQCh. 18 - The Channel Tunnel, or Chunnel, stretches 37.9 km...Ch. 18 - Prob. 42PQCh. 18 - Prob. 43PQCh. 18 - Prob. 44PQCh. 18 - If the aluminum rod in Example 18.6 were free at...Ch. 18 - Prob. 46PQCh. 18 - Prob. 47PQCh. 18 - Prob. 48PQCh. 18 - Prob. 49PQCh. 18 - Prob. 50PQCh. 18 - Prob. 51PQCh. 18 - Prob. 52PQCh. 18 - Prob. 53PQCh. 18 - Dog whistles operate at frequencies above the...Ch. 18 - Prob. 55PQCh. 18 - Prob. 56PQCh. 18 - Prob. 57PQCh. 18 - Prob. 58PQCh. 18 - Prob. 59PQCh. 18 - Prob. 60PQCh. 18 - Prob. 61PQCh. 18 - Prob. 62PQCh. 18 - The functions y1=2(2x+5t)2+4andy2=2(2x5t3)2+4...Ch. 18 - Prob. 64PQCh. 18 - Prob. 65PQCh. 18 - Prob. 66PQCh. 18 - Prob. 67PQCh. 18 - Prob. 68PQCh. 18 - Two successive harmonic frequencies of vibration...Ch. 18 - Prob. 70PQCh. 18 - Prob. 71PQCh. 18 - Prob. 72PQCh. 18 - A pipe is observed to have a fundamental frequency...Ch. 18 - The wave function for a standing wave on a...Ch. 18 - Prob. 75PQCh. 18 - Prob. 76PQCh. 18 - Prob. 77PQCh. 18 - Prob. 78PQCh. 18 - Prob. 79PQCh. 18 - Prob. 80PQ
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- The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forwardRank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)arrow_forwardA taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forward
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- The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this doubling, which of the following statements is correct? (a) The speed of the wave changes. (b) The frequency of the wave changes. (c) The maximum transverse speed of an element of the medium changes. (d) Statements (a) through (c) are all true. (e) None of statements (a) through (c) is true.arrow_forwardAn equation describing a wave is given by y = 0.04 sin (60x - 40t) where parameters are in Sl units. What is the angular frequency (in rad/s) and the wavelength (in m) of the wave? O 40, 0.10 40, 60 O 6.4, 0.10 40, 6.4 6.4, 60 6.4, 0.017arrow_forwardA standing wave is the result of superposition of two harmonic waves given by the equations y1 (x, t) = A sin(wt – ka) and y2(x, t) = A sin(wt + ka). The angular frequency is w = 3n rad/s and the k = 27 rad/m is the wave number. %3D (a) Give an expression for the amplitude of standing wave. (b) Determine the frequency. (c) Determine the wavelength of the wavearrow_forward
- Two waves y1 and y2 each of frequency f=5 Hz, wavelength X=2 m, amplitude A=0.4 m travel in the negative x-direction with a phase difference of T/2 rad. The interference of these two waves gives a wave described by: Ο y-0.8 sin(πx-10πt+ π/8) O y=0.4 sin(Ttx+10rt+rt/8) O y=0.4v2 sin(Tx+10rt+rt/4) O y=0.4v2 sin(TTx+10rt+rt/8) Nonearrow_forwardIf you two waves Y1 = 5 sin (4x - 2t) and Y2 = 5 sin (4x - 2t + a/3) move in the opposite direction and superimpose with each other to create a resultant wave. Consider, the amplitude of the resultant wave: Yo = 10 cos (T/6) = 8.66 Make comments on the amplitude of the resultant wave results.arrow_forwardTwo sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 8 cm sin(4Ttx-60Ttt+Tt/3). The amplitude of the individual waves generating this wave is: O 2/13 cm 4/13 cm 2 cm 8 cmarrow_forward
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