Resonance Problem Set 2

Resonance Problem Set 2 1.
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You are given a set of chimes that consist of eight hollow metal tunes open at both ends, like thoses shown. The chimes ar eplayed by striking them with a small hammer to produce musical sounds. Your task is to use the chimes to determine the speed of sound in air at room temperature. You have available a set of tuning forls and other common laboratory equipment but are not allowed to use electronic equipment such as a sound sensor. (a tuning fork vibrates when struck and prodeces a sound at a particular frequency, which is printed on the tuning fork.) a. Design an experiment to determine the speed of found in air at room temperature using the chimes. b. Describe what measurements you will make and how they will help you determine the speed of sound in air. c. Describe one assumption you make about the design on your experiment, and explain how it might affect the value obtained for the speed of sound. d. A student doing a different experiment to determine the speed of sound in air ibtained wavelength and period measurements and creasted the following plot of data. Use the graph to calculate the speed of sound and include an explanation for your method. To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 120 Hz. The other end of the string passes over a pulley and is connected to a suspended mass M as shown in the picture. The value M is such that the standing wave pattern has four “loops.” The length of the string from the tuning fork to the point where the string touches the top of the pulley is -­‐4
1.20 m. The linear density of the string is 1.0x10 kg/m and remains constant throughout the experiment. a. Determine the wavelength of the standing wave. b. Determine the speed of the transverse waves along the string. c.
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The speed of waves along the string increases with increasing tension in the string. Indicate whether the values of M should be increases or decreased in order to double the number of loops in the standing wave pattern. Justify your answer. If a point of the string at an antinode moves a total vertical distance of 4 cm during one complete cycle, what is the amplitude of the standing wave? Multiple Choice: BE SURE TO JUSTIFY YOUR ANSWERS 3.
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