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- (a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)HW1//: find the amplitude, period, and frequency for the following waveform. a. 20 sin 377t b. 5 sin 7541 c. 10° sin 10,000t e. -7.6 sin 43.6t d. 0.001 sin 942t f. ) sin 6.2831 HW/2 Find the phase relationship between the waveforms of cach set: a. v= 4 sin(wr + 50°) i = 6 sin(wr + 40°) b. v = 25 sin(ot - 80°) i = 5 x 10- sin(wr - 10°) c. v= 0.2 sin(wt - 60°) i = 0.1 sin(wr + 20°) d. v = 200 sin(wt i = 25 sin(wr 210°) 60°) HW/3 Repeat Problem 29 for the following sets: a. v = 2 cos(ot - 30°) i - 5 sin(wt + 60°) c. v= -4 cos(wt + 90°) i = -2 sin(wt + 10°) b. v = -1 sin(wt + 20°) i - 10 sin(wr - 70°)A wave is modeled by the wave function y(x, t) 2п 3.8 m What are the amplitude (A), wavelength (A), wave speed (v), period (P), frequency (f), and wave number (k) of the wave? a. A = 0.24 b. λ = C. U= d. P = e. f = f. k= Submit Question EE m/s S Hz m-1 Hint 1 = (0.24 m) sin -(x-(17.6 m/s) t)
- A sinusoidal wave train is described by the equation: y = ( 0.95 m) sin ( 0.8nx + 50nt + nl3 ) A. Find the frequency of the wave. B.Find the wave speed. C.Find the wavelength. D.Find the wave number k.What is the frequency of a wave which has a period of57500 s?2.A.0.00001386 HzD.0.00001908 HzB.0.00001739 HzE.0.00001775 HzC.0.00002115 HzF.0.00001999 Hz8 full waves pass a point every 7 seconds. What is the period of the wave? Answer to 3 sig figs. A wave has length of 1.6 meters and frequency of 39 Hz. What is the wave velocity? Answer to 3 sig figs.
- the spec swer? Explain. 29. W A sinusoidal sound wave moves through a mediu is described by the displacement wave function and s(x, t) = 2.00 cos (15.7x - 858t) %3D COS t onds. Find (a) the amplitude, (b) the wavelength. a (c) the speed of this wave. (d) Determine the instan neous displacement from equilibrium of the elements es the medium at the position x = 0.050 0 m at t = 3.00 me (e) Determine the maximum speed of the element's oscil- latory motion. ms.The motion of a body is described by the equation 3.25 sin (0.320πt), where t is in seconds and y is in meters. a. Find the frequency. b. Find the displacement at t = 3.50 s. c. Find the displacement at t = 25.0 s.and 4.00 m from the other? Ans. 4.1 rad 7. A bat flies toward a wall at a speed of 5.0 m/s. As it flies, the bat emits an ultrasonic sound wave with frequency 30 kHz. What frequency does the bat hear in the reflected wave? 8 The solution of travelling wave v(cos(kx - wt) is Ans. 30,888 kHz w²0²y a²y
- Light travels approximately 3.0 x 10³ m/s in outer space. If yellow light from the sun has a wavelength of 5.70x10 11 m what is its frequency? Select one: a. 5.26 Hz b. o.000526 Hz c. 5.26 x10^18 Hz d. .00000526HZItem 9 Learning Goal: To learn the properties of logarithms and how to manipulate them when solving sound problems. The intensity of sound is the power of the sound waves divided by the area on which they are incident. Intensity is measured in watts per square meter, or W/m². The human ear can detect a remarkable range of sound intensities. The quietest sound that we can hear has an intensity of 10-¹2 W/m², and we begin to feel pain when the intensity reaches 1 W/m². Since the intensities that matter to people in everyday life cover a range of 12 orders of magnitude, intensities are usually converted to a logarithmic scale called the sound intensity level 3, which is measured in decibels (dB). For a given sound intensity I, B is found from the equation ß = (10 dB) log (1). where Io = 1.0 × 10-¹2 W/m². Part A What is the value of log(1,000,000)? Express your answer as an integer. ► View Available Hint(s) The logarithm of x, written log(x), tells you the power to which you would raise 10…Item 9 Learning Goal: To learn the properties of logarithms and how to manipulate them when solving sound problems. The intensity of sound is the power of the sound waves divided by the area on which they are incident. Intensity is measured in watts per square meter, or W/m². The human ear can detect a remarkable range of sound intensities. The quietest sound that we can hear has an intensity of 10-12 W/m², and we begin to feel pain when the intensity reaches 1 W/m². Since the intensities matter people in everyday life cover a range of 12 orders of magnitude, intensities are usually converted to a logarithmic scale called the sound intensity level 3, which is measured in decibels (dB). For a given sound intensity I, B is found from the equation ß = (10 dB) log (1), where Io = 1.0 × 10-¹2 W/m². ▼ The logarithm of x, written log(x), tells you the power to which you would raise 10 to get æ. So, if y = log(x), then x = 10³. It is easy to take the logarithm of a number such as 10², because…