Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 59CP
To determine
The wave intensity at distance
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1. A wave is modeled with the function y(x,t) = (0m) cos((0.95rad/m)x − (0.65rad/s)t + π/3). Find the wave speed. Round your answer to 2 decimal places.
2. A wave is modeled with the function y(x,t) = (0.24m) cos((0.36rad/m)x − (0.71rad/s)t + π/3). Find the wavelength. Round your answer to 2 decimal places.
3. A wave is modeled with the function y(x,t) = (0.72m) cos((0.03rad/m)x − (0.58rad/s)t + π/3). Find the period. Round your answer to 2 decimal places.
If a wave that is traveling is described by
y(x,t) = (0.00327 m) sin (72.1 x +2.27 t),
where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse velocity of the string element at x = 25.2 cm and t = 19.8 s?
A wave travelling along a string is described by y(x,t)=0.00327sin(72x−2.72t) in which the numerical constants are in SI units (i.e., 0.00327m, 72.1 rad/m and 2.72 rad/s.) Find the amplitude, wavelength, period and speed of the wave.
Chapter 16 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 16.1 - Prob. 16.1QQCh. 16.2 - A sinusoidal wave of frequency f is traveling...Ch. 16.2 - The amplitude of a wave is doubled, with no other...Ch. 16.3 - Suppose you create a pulse by moving the free end...Ch. 16.4 - Which of the following, taken by itself, would be...Ch. 16.6 - If you blow across the top of an empty soft-drink...Ch. 16.8 - A vibrating guitar string makes very little sound...Ch. 16.8 - Increasing the intensity of a sound by a factor of...Ch. 16.9 - Consider detectors of water waves at three...Ch. 16.9 - You stand on a platform at a train station and...
Ch. 16.9 - An airplane flying with a constant velocity moves...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - You are working for a plumber who is laying very...Ch. 16 - Prob. 4PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Prob. 14PCh. 16 - Transverse waves are being generated on a rope...Ch. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - Prob. 20PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - The intensity of a sound wave at a fixed distance...Ch. 16 - Prob. 32PCh. 16 - The power output of a certain public-address...Ch. 16 - A fireworks rocket explodes at a height of 100 m...Ch. 16 - You are working at an open-air amphitheater, where...Ch. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Submarine A travels horizontally at 11.0 m/s...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Review. A block with a speaker bolted to it is...Ch. 16 - Prob. 42PCh. 16 - Prob. 43APCh. 16 - Prob. 44APCh. 16 - Prob. 45APCh. 16 - Prob. 46APCh. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Prob. 48APCh. 16 - A wire of density is tapered so that its...Ch. 16 - Prob. 50APCh. 16 - Prob. 51APCh. 16 - A train whistle (f = 400 Hz) sounds higher or...Ch. 16 - Review. A 150-g glider moves at v1 = 2.30 m/s on...Ch. 16 - Prob. 54APCh. 16 - Prob. 55APCh. 16 - Prob. 56APCh. 16 - Prob. 57CPCh. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 59CPCh. 16 - Prob. 60CP
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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
- Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?arrow_forwardIf a wave that is traveling is described by y(x,t) = (0.00327 m) sin (72.1 x +2.27 t), where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse acceleration of the string element at x = 25.2 cm and t = 19.8 s?arrow_forwardFor the wave described by y = 0.02 sin (kx) at t = 0 s, the first maximum at a positive x coordinate occurs where x = 4 m. Where on the positive x axis does the second maximum occur? Select one: a. 18 m b. 16 m c. 28 m d. 20 m e. 24 marrow_forward
- Consider the superposition of three wave functions y(x, t) = 3.00 cm sin (2 m−1 x − 3 s−1 t), y(x, t) = 3.00 cm sin (6 m−1 x + 3 s−1 t) , and y(x, t) = 3.00 cm sin (2 m−1 x − 4 s−1 t). What is the height of the resulting wave at position x = 3.00 m at time t = 10.0 s?arrow_forwardTwo waves on one string are described by the wave functions y1= 3.33 cos(2.34x − 1.21t) y2= 3.33 sin(4.37x − 2.57t) where x and y are in centimeters and t is in seconds. (Remember that the arguments of the trigonometric functions are in radians.) (a) Find the superposition of the waves y1+y2 at x = 1.0, t = 0.0 s.arrow_forwardConsider a wave described by the wave function y(x, t) = 0.3 m sin(2.00 m−1 x − 628.00 s−1 t). (a) How many crests pass by an observer at a fixed location in 2.00 minutes? (b) How far has the wave traveled in that time?arrow_forward
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