20 - roofner (bar784) Homework 20 Weathers (17104) 1 This...

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Unformatted text preview: roofner (bar784) Homework 20 Weathers (17104) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points It is found that a 4 . 5 m segment of a long string contains 4 complete wavelengths and has a mass of 180 g. At one point it is vibrat- ing sinusoidally with a frequency of 43 Hz and a peak to valley displacement of 0 . 53 m. What power is being transmitted along the string? Correct answer: 4959 . 52 W. Explanation: Let : l = 4 . 5 m , = 4 . 5 m 4 , m = 180 g , f = 43 Hz , and A = . 53 m 2 . Since k 2 , 2 f , v k , P = 1 2 2 A 2 v = 1 2 parenleftBig m l parenrightBig (2 f ) 2 A 2 f = 1 2 parenleftbigg 180 g 4 . 5 m parenrightbigg [2 (43 Hz)] 2 parenleftbigg . 53 m 2 parenrightbigg 2 parenleftbigg 4 . 5 m 4 parenrightbigg (43 Hz) = 4959 . 52 W . 002 (part 1 of 2) 10.0 points A point source emits sound waves with an average power output of 0 . 969 W. Find the intensity 7 . 73 m from the source. Correct answer: 0 . 00129049 W / m 2 . Explanation: A point source emits energy in the form of a spherical waves. At a distance R from the source, the power is distributed over the surface area of a sphere, 4 R 2 . Therefore, the intensity at a distance R = 7 . 73 m from the source is I = P av 4 R 2 = 0 . 00129049 W / m 2 . 003 (part 2 of 2) 10.0 points Find the distance at which the sound reduces to a level of 64 dB. Correct answer: 175 . 209 m. Explanation: We can find the intensity at the = 64 dB level by using the equation = 10 log parenleftbigg I I parenrightbigg with I = 1 10 12 W / m 2 : 64 dB = 10 log parenleftbigg I 1 10 12 W / m 2 parenrightbigg therefore I = 10 / 10 I = 10 6 . 4 (1 10 12 W / m 2 ) = 2 . 51189 10 6 W / m 2 ....
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20 - roofner (bar784) Homework 20 Weathers (17104) 1 This...

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