
College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A 1.50 m long string, whose mass is 2.50 g, is stretch between fixed supports to a tension
of 9.00 N. What are the natural frequencies of the string?
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- A 1.50-m string of weight 1.25 N is tied to the ceiling at its upper end, and the lower end supports a weight W. Assume that the tension on the wire is due to only the weight W, and thus the tension is uniform along the wire. When you pluck the string slightly, the waves traveling up the string obey the equation y(x, t) = (8.50mm) cos(172m-lr– 2730s-1t) (a) How much time does it take a pulse to travel the full length of the string? (b) What is the weight W? (c) How many wavelengths are on the string at any instant of time? (d) What is the equation for waves traveling down the string?arrow_forwardA thin string 2.50 m in length is stretched with a tension of90.0 N between two supports. When the string vibrates in its first overtone,a point at an antinode of the standing wave on the string has anamplitude of 3.50 cm and a maximum transverse speed of 28.0 m/s.(a) What is the string’s mass? (b) What is the magnitude of the maximumtransverse acceleration of this point on the string?arrow_forwardSinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass density of 4.00 x 10-2 kg/m. The source can deliver a maximum power of 295 W, and the string is under a tension of 119 N. What is the highest frequency fat which the source can operate? Hz Need Help? Read It Master Itarrow_forward
- A string can have a "free" end if that end is attached to a ring that can slide without friction on a vertical pole (Fig. 15-40). Determine the wavelengths of the resonant vibrations of such a string with one end fixed and the other free. o dignelovew lloh bi bhs eoh Free end Fixed end 16 FIGURE 15-40 Problem 85. l-arrow_forwardA dinosaur called Parasaurolophus is a dinosaur (looks like a dinosaur with a single horn) thathas a hollow horn crest on its head. The 1.5 m long hollow tub inside of this crest hadconnections to the throat, leading some paleontologists to guess that the tube was used as aresonant chamber in vocalization. If you model this system as an open-closed system, what arethe first three resonant frequencies at 85 degrees F?arrow_forwardThe third harmonic frequency of a standing wave is 285 Hz on a string of length 73 cm that is bound at the two ends and is under tension. What is the speed of traveling waves on this string?arrow_forward
- A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 103 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (f. = 261.6 Hz on the chromatic musical scale)? Need Help? Read Itarrow_forwardAssuming standard atmospheric conditions, what is the fundamental frequency of a 1.67 m longorgan pipe that is open at one end and closed at the other?arrow_forwardA steel wire with mass 21.7 g and length 1.30 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string.(b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz?(c) Calculate the tension required to obtain the proper frequency.(d) Calculate the wavelength of the string's vibration.(e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)arrow_forward
- The middle C string on a piano is under a tension of 919 N. The period and wavelength of a wave on this string are 3.82 ms and 1.15 m, respectively. Find the linear density of the string.arrow_forwardTransverse waves with a speed of 56.0 m/s are to be produced on a stretched string. A 4.05-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string?N(b) Calculate the wave speed in the string if the tension is 8.00 N. m/sarrow_forwardA standing wave on a 1.64 m long horizontal string has two nodes – i.e., locations on thestring (excluding the two ends) that remain stationary as the string vibrates in place –when the string vibrates at 120 Hz. The maximum swing of the string (top to bottom) atthe centre of each loop is 8.0 cm. a) What is the function describing the standing wave? b) What are the functions describing the two equal-amplitude waves travelling in op-posite directions that make up the standing wave?arrow_forward
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