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Learning Goal: To understand the decibel scale. The decibel scale is a logarithmic scale for measuring the sound intensity level. Because the decibel scale is logarithmic, it changes by an additive constant when the intensity as measured in W/m² changes by a multiplicative factor. The number of decibels increases by 10 for a factor of 10 increase in intensity. The general formula for the sound intensity level, in decibels, corresponding to intensity I is B = 10 log (1) dB. where Io is a reference intensity. For sound waves, Io is taken to be 10-12 W/m² Note that log refers to the logarithm to the base 10. ▾ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 10 times the reference intensity (i.e., I 1010)? Express the sound intensity numerically to the nearest integer. ▸ View Available Hint(s) B= Submit Part B B= Η | ΑΣΦ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 100 times the reference intensity (i.e. I= 100%)? Express the sound intensity numerically to the nearest integer. ▸ View Available Hint(s) Submit Part C IVE] ΑΣΦ| ΑΣΦΑ N AB2, ABA. AB= ? IVE ΑΣΦ dB ? One often needs to compute the change in decibels corresponding to a change in the physical intensity measured in units of power per unit area. Take m to be the factor of increase of the physical intensity (i.e., I = mlo). 4 → Calculate the change in decibels (AB₂. AB4, and ABs) corresponding to m2, m = 4, and m= 8. Give your answers, separated by commas, to the nearest integer--this will give an accuracy of 20%, which is good enough for sound. ▸ View Available Hint(s) dB D Review dB

Learning Goal: To understand the decibel scale. The decibel scale is a logarithmic scale for measuring the sound intensity level. Because the decibel scale is logarithmic, it changes by an additive constant when the intensity as measured in W/m² changes by a multiplicative factor. The number of decibels increases by 10 for a factor of 10 increase in intensity. The general formula for the sound intensity level, in decibels, corresponding to intensity I is B = 10 log (1) dB. where Io is a reference intensity. For sound waves, Io is taken to be 10-12 W/m² Note that log refers to the logarithm to the base 10. ▾ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 10 times the reference intensity (i.e., I 1010)? Express the sound intensity numerically to the nearest integer. ▸ View Available Hint(s) B= Submit Part B B= Η | ΑΣΦ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 100 times the reference intensity (i.e. I= 100%)? Express the sound intensity numerically to the nearest integer. ▸ View Available Hint(s) Submit Part C IVE] ΑΣΦ| ΑΣΦΑ N AB2, ABA. AB= ? IVE ΑΣΦ dB ? One often needs to compute the change in decibels corresponding to a change in the physical intensity measured in units of power per unit area. Take m to be the factor of increase of the physical intensity (i.e., I = mlo). 4 → Calculate the change in decibels (AB₂. AB4, and ABs) corresponding to m2, m = 4, and m= 8. Give your answers, separated by commas, to the nearest integer--this will give an accuracy of 20%, which is good enough for sound. ▸ View Available Hint(s) dB D Review dB

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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<Chapter 14 HW Item 1 Learning Goal: To understand the decibel scale. The decibel scale is a logarithmic scale for measuring the sound intensity level. Because the decibel scale is logarithmic, it changes by an additive constant when the intensity as measured in W/m²2 changes by a multiplicative factor. The number of decibels increases by 10 for a factor of 10 increase in intensity. The general formula for the sound intensity level, in decibels, corresponding to intensity I is B = 10 log(+) dB, where Io is a reference intensity. For sound waves, Io is taken to be 10-12 W/m². Note that log refers to the logarithm to the base 10. What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 10 times the reference intensity (i.e., I = 1010)? Express the sound intensity numerically to the nearest integer. ► View Available Hint(s) B = Submit Part B B = Submit ΠΙΑΣΦ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 100 times the reference intensity (i.e. I = 100I)? Express the sound intensity numerically to the nearest integer. ► View Available Hint(s) Part C 15. ΑΣΦ. ? Δβη, Δβι, Δβg = dB ? —| ΑΣΦ dB One often needs to compute the change in decibels corresponding to a change in the physical intensity measured in units of power per unit area. Take m to be the factor of increase of the physical intensity (i.e., I = mlo). Calculate the change in decibels (AB2, AB4, and AB8) corresponding to m = 2, m = 4, and m = 8. Give your answers, separated by commas, to the nearest integer--this will give an accuracy of 20%, which is good enough for sound. ► View Available Hint(s) ? 1 of 15 dB Review
Transcribed Image Text:<Chapter 14 HW Item 1 Learning Goal: To understand the decibel scale. The decibel scale is a logarithmic scale for measuring the sound intensity level. Because the decibel scale is logarithmic, it changes by an additive constant when the intensity as measured in W/m²2 changes by a multiplicative factor. The number of decibels increases by 10 for a factor of 10 increase in intensity. The general formula for the sound intensity level, in decibels, corresponding to intensity I is B = 10 log(+) dB, where Io is a reference intensity. For sound waves, Io is taken to be 10-12 W/m². Note that log refers to the logarithm to the base 10. What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 10 times the reference intensity (i.e., I = 1010)? Express the sound intensity numerically to the nearest integer. ► View Available Hint(s) B = Submit Part B B = Submit ΠΙΑΣΦ What is the sound intensity level 3, in decibels, of a sound wave whose intensity is 100 times the reference intensity (i.e. I = 100I)? Express the sound intensity numerically to the nearest integer. ► View Available Hint(s) Part C 15. ΑΣΦ. ? Δβη, Δβι, Δβg = dB ? —| ΑΣΦ dB One often needs to compute the change in decibels corresponding to a change in the physical intensity measured in units of power per unit area. Take m to be the factor of increase of the physical intensity (i.e., I = mlo). Calculate the change in decibels (AB2, AB4, and AB8) corresponding to m = 2, m = 4, and m = 8. Give your answers, separated by commas, to the nearest integer--this will give an accuracy of 20%, which is good enough for sound. ► View Available Hint(s) ? 1 of 15 dB Review
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