The two highest-pitch strings on a violin are tuned to 450 Hz (the A string) and 649 Hz (the E string). Part A What is the ratio of the mass of the A string to that of the E string? Violin strings are all the same length and under essentially the same tension. Express your answer using three significant figures. MA mg IVE ΑΣΦ ?
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- A mass of 0.75 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 57 m N when the mass has a velocity of 6 The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.07 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to s² gravity. u(t) = .07(e-6.33t) sin(1 -6.33t) sin 12.487t + K|2 XA guitar string is vibrating in its fundam ental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.389 m. The maximum transverse acceleration of a point at the middle of the segment is 8200 m/s? and the maximum transverse velocity is 3.10 m/s. Part A What is the amplitude of this standing wave? Express your answer in meters. Πνα ΑΣφ A = m Submit Request Answer Part B What is the wave speed for the transverse traveling waves on this string? Express your answer in meters per second. v = m/s Submit Request AnswerOne end of each of two identical strings is attached to a wall. Each string is being pulled equally tight by someone at the other end. A transverse pulse is sent traveling along string A. A bit later an identical pulse is sent traveling along string B. What, if anything, can be done to make the pulse on string B catch up with and pass the pulse on string A? O Pull harder on string A. O Pull harder on string B. O Nothing can be done.
- A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.500 m and a mass of 3.75 g Part A What is the frequency f1 of the string's fundamental mode of vibration? Part B What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHz?A steel wire in a piano has a length of 0.420 m and a mass of 5.300 ✕ 10−3 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (fC = 261.6 Hz on the chromatic musical scale)? NPart A Two steel guitar strings have the same length. String A has a diameter of 0.60 mm and is under 430.0 N of tension. String B has a diameter of 1.5 mm and is under a tension of 850.0 N . You may want to review (Pages 461 - 463) . Find the ratio of the wave speeds, vA/VB, in these two strings. Express your answer using two significant figures. Hνα ΑΣφ VA/VB = Submit Request Answer
- Suppose you shake a slinky continuously in an up and down fashion such that a transverse waves propagate horizontally down its length. If you count 15 peaks have been made during a time of 2.03s, what is the frequency of the wave (in Hz)? V Note: In the space below, please enter you numerical answer. Do not enter any units. If you enter units, your answer will be marked as incorrect.solve please vA piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.600 m and a mass of 4.50 g. Part A What is the frequency of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. ΕΞΙ ΑΣΦ Submit Part B Request Answer 71= 2 What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f-16 kHz? Express your answer exactly. 197) ΑΣΦ 4 Ha ?
- Part A Two steel guitar strings A and B have the same length and are under the same tension. String A has a diameter of 0.65 mm and string B has a diameter 1.17 mm. Treat the stretched-out strings as right cylinders with length L and radius r having volume n L. You may assume that both strings are made of the same material, so they have the same density. The ratio of the wave speeds, VA/VB, in the two strings is (enter your answer with two significant figures) possibly useful: density = mass/volume v = Af string fixed at both ends: An = 2L/n ; n = 1, 2, 3, 4, 5... %3D V = squareroot[F/µ) H = mass per unit length 1.8 Sumit Previous Answers Correct Part B The ratio of the eleventh harmonic frequency of string A to the eleventh harmonic frequency of string B, (111)A/(f11)B, is (enter your answer with two significant figures) 1.8 Bubm Previous Answers CorrectThe ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.53 g pin is dropped from a height of 31 cm, and that the pin emits sound for 1.4 s when it lands. Part A Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.) Express your answer using two significant figures. Hνα ΑΣφ ? r = kmThe G string on a guitar is 49 cm long and has a fundamental frequency of 196 Hz. A guitarist can play different notes by pushing the string against various frets, which changes the string's length. The fifth fret from the neck gives C (261.63 Hz); the sixth fret gives Db (277.18 Hz). A Part A How far apart are the fifth and sixth frets?