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Part D The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10-12 W/m². Find the distance d from the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment. Express your answer numerically in meters. d= Π| ΑΣΦ Submit Request Answer ? m

Part D The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10-12 W/m². Find the distance d from the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment. Express your answer numerically in meters. d= Π| ΑΣΦ Submit Request Answer ? m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The answer to pt d is not 69094 or 2.1!

Item 7 Learning Goal: To understand the concept of intensity; the relationship between the power of the source and the intensity of the wave; and the dependence of intensity on distance. Since waves transfer energy from one point to another, one can define the power of a wave as the rate at which the wave transports energy. The intensity of a wave, in contrast, is the power relative to a certain surface. Consider a wave traveling across a surface perpendicular to the direction of propagation. The intensity I of the wave is defined as the ratio of the power P of the wave to the area A of that surface: 1 = ²/ P Note that the surface may be real (physical, like an eardrum or a windowpane) or mathematical. Quite frequently, we will be interested in the intensity produced by a relatively small source at a relatively large distance. If the source emits waves uniformly in all possible directions (produces spherical waves), the formula given here makes it possible to find the intensity at a distance r from the source: I = P 4π7² Note that, in all parts of this problem, assume that the source generates spherical waves, so that this intensity formula is applicable. Intensity is measured in watts per square meter (W/m²). All the information presented here is pertinent to any kind of wave. In this problem, we will be focusing on sound waves. A popular car stereo has four speakers, each rated at 60 W. In answering the following questions, assume that the speakers produce sound at their maximum power. Part A Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.0 m. Express your answer numerically in watts per square meter. Use two significant figures. I = 4.8 W/m² Submit ✓ Correct Part B Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m. Express your answer numerically in watts per square meter. Use two significant figures. I = 2.1 W/m² Submit Previous Answers Part C Previous Answers Submit Correct Note that the intensity I is inversely proportional to the square of the distance from the source. For example, if you quadruple your distance from the source, at the new location the wave will have one-sixteenth the intensity (assuming that no energy is absorbed between the two locations). Thus, the greater the distance, the smaller the wave intensity. 7 of 15 Review Find the intensity I of the sound waves produced by four 60-W speakers as heard by the driver. Assume that the driver is located 1.0 m from each of the two front speakers and 1.5 m from each of the two rear speakers. Express your answer numerically in watts per meter squared. I = 13.8 W/m² Previous Answers >
Transcribed Image Text:Item 7 Learning Goal: To understand the concept of intensity; the relationship between the power of the source and the intensity of the wave; and the dependence of intensity on distance. Since waves transfer energy from one point to another, one can define the power of a wave as the rate at which the wave transports energy. The intensity of a wave, in contrast, is the power relative to a certain surface. Consider a wave traveling across a surface perpendicular to the direction of propagation. The intensity I of the wave is defined as the ratio of the power P of the wave to the area A of that surface: 1 = ²/ P Note that the surface may be real (physical, like an eardrum or a windowpane) or mathematical. Quite frequently, we will be interested in the intensity produced by a relatively small source at a relatively large distance. If the source emits waves uniformly in all possible directions (produces spherical waves), the formula given here makes it possible to find the intensity at a distance r from the source: I = P 4π7² Note that, in all parts of this problem, assume that the source generates spherical waves, so that this intensity formula is applicable. Intensity is measured in watts per square meter (W/m²). All the information presented here is pertinent to any kind of wave. In this problem, we will be focusing on sound waves. A popular car stereo has four speakers, each rated at 60 W. In answering the following questions, assume that the speakers produce sound at their maximum power. Part A Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.0 m. Express your answer numerically in watts per square meter. Use two significant figures. I = 4.8 W/m² Submit ✓ Correct Part B Find the intensity I of the sound waves produced by one 60-W speaker at a distance of 1.5 m. Express your answer numerically in watts per square meter. Use two significant figures. I = 2.1 W/m² Submit Previous Answers Part C Previous Answers Submit Correct Note that the intensity I is inversely proportional to the square of the distance from the source. For example, if you quadruple your distance from the source, at the new location the wave will have one-sixteenth the intensity (assuming that no energy is absorbed between the two locations). Thus, the greater the distance, the smaller the wave intensity. 7 of 15 Review Find the intensity I of the sound waves produced by four 60-W speakers as heard by the driver. Assume that the driver is located 1.0 m from each of the two front speakers and 1.5 m from each of the two rear speakers. Express your answer numerically in watts per meter squared. I = 13.8 W/m² Previous Answers >
Part D The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10-12 W/m². Find the distance d from the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment. Express your answer numerically in meters. VE ΑΣΦ d = Submit Provide Feedback Request Answer ? m Next >
Transcribed Image Text:Part D The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10-12 W/m². Find the distance d from the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment. Express your answer numerically in meters. VE ΑΣΦ d = Submit Provide Feedback Request Answer ? m Next >
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