Part A A guitar string is 90 cm long and has a mass of 3.5 g. The distance from the bridge to the support post is L = 62 cm, and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones? Express your answers using two significant figures. Enter your answers in ascending order separated by commas.
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Interference of sound
Seiche
A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.
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- Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?Your ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is useful in determining where low frequency sound is originating from. (a) Suppose a low-frequency sound source is placed to the right of a person, whose ears are approximately 18 cm apart, and the speed of sound generated is 340 m/s. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear? (b) Assume the same person was scuba diving and a low-frequency sound source was to the right of the scuba diver. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear, if the speed of sound in water is 1500 m/s? (c) What is significant about the time interval of the two situations?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 spec swer? Explain. 29. W A sinusoidal sound wave moves through a mediu is described by the displacement wave function s(x, t) = 2.00 cos (15.7x – 8581) %3D t onds. Find (a) the amplitude, (b) the wavelength (c) the speed of this wave. (d) Determine the instant neous displacement from equilibrium of the elements cs the medium at the position x = 0.050 0 m at t = 3.00 (e) Determine the maximum speed of the element's oscil- latory motion. ms. solve part D E onlyA ball is dropped from the top of an abandoned well. Exactly 6 seconds later, the sound of the ball hitting the bottom is heard by the person standing at the top of the well. How deep is the hole? Assume that the distance fallen by the ball int seconds is d = 16t", and that sound travels at a speed of 1100 ft/sec. The well is feet deep. Round your answer to the nearest tenth. Submit Question G Search or type URL esc # $4 % 6 1 2 3 W E R Q tabEx. 39 The equation of a wave can be 2n represented by Y= 0.04 sin (320 t-x) where 0.08 x and y are in meter and t is in second. Find the amplitude, frequency propagation of the wave. and velocity of
- 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°)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 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…3 rces The sound of normal breathing is not very loud, with an intensity of about 11 dB at a distance of 1 m away from the face of the breather. Note that in this problem sound intensity in decibels is denoted 3; intensity in W/m² is denoted I View Available Hint(s) distance Ddetect in meters. Ddetect = 3.16 m Submit Previous Answers ✓ Correct Part B In general, if a sound has intensity of 3 dB at 1 m from the source, at what distance de from the source would the decibel level decrease to 0 dB? Since the limit of hearing is 0 dB this would mean you could no longer hear it. Express the distance in terms of B. Be careful about your signs! View Available Hint(s) Submit IVE] ΑΣΦ do 3.55 3 Previous Answers X Incorrect; Try Again; 5 attempts remaining < Return to Assignment Provide Feedback P Pearson m Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
- 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…Part A AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a speed of 3.0x10° m/s. What are the wavelengths of these signals? Express your answers using two significant figures separated by a comma. ? Amin, Amax Submit Request Answer Part B On FM the frequencies range from 88 MHz to 108 MHz (megahertz) and travel at the same speed. What are their wavelengths? Express your answers using two significant figures separated by a comma. Ηνα ΑΣφ ? Amin, Amax m %3D3T st+), find the -1 Consider a wave described by the wave function y (x,t)= 0.75m sin frequency of wave? O a. 4.67 Hz ОБ. 0.21 НZ O c. 0.51 Hz O d. 2.4 Hz