5. a. The frequency of a standing wave on a string is ƒ when the string's tension is Ts. If the tension is changed by the small amount ATs, without changing the length, show that the frequency changes by an amount Aƒ such that Af/f = (1/2)AT,/T,
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- The wave propagates at a speed of 12 m/s from A to B with the equation of "difference": y = 0.06 sin 20xt and the initial deviation is upwards (y and t are SI base units). The distance AB is 2.5 m. Exactly when B has 3/4 phase, point A deviates by... а. 3 ст, down b. 3 cm, up С. 3V3 ст, ир d. 3v3 cm, down е. б ст, downPr5. Two identical loudspeakers are located at points (-10,0,0) and (0,0, 10) of our coor- dinate system, where the numbers in the brac- kets correspond to the (r, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequ- ency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points loca- ted on the positive r axis where the sound waves coming from the two loudspeakers interfere con- structively. b) A receiver is started to move slowly from the origin (0,0,0) along a path lying in the r-y plane so that it receives constant sound intensity throughout its slow motion. What is the shape of the path the receiver should take?A string of mass 8 grams is stretched to a length of 0.3 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1400 Newtons. What is the linear density of the string? kg/m At what speed would a wave propagate on this string? m/s What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? m What is the fundamental frequency of the vibrating string? Hz
- On a string a sinusoidal wave propagates with a maximum speed of vm and an amplitude of wave A. Points along the string that deviate by A/2 have a speed of ... Note : option is in the picturePlease help for this question!QUESTION 5 A transverse wave completes 12 full oscillations in two seconds. The wave moves at 31.2 m/s. Find the distance between two adjacent crests on the wave (in m). QUESTION 6 The linear density of a guitar string is 8.0 x 104 kg/m. A wave on the string has a frequency of 400 Hz and a wavelength of 60 cm. What is the tension in the string? QUESTION 7 The mathematical expression of a wave is given by y = 4.2 m Sin ( 1.2 rad/m x – 9.6 rad/s t). What is the speed of the wave (in m/s)? QUESTION 8 What is the sound intensity (in µW/m2) at 1.86 m from a 4 mW loudspeaker emitting sound uniformly in all directions?