Sound Intensity The relationship between thenumber of decibels β and the intensity of a sound I (inwatts per square meter) isβ = 10 log I10−12.(a) Determine the number of decibels of a sound withan intensity of 1 watt per square meter.(b) Determine the number of decibels of a sound withan intensity of 10−2 watt per square meter.(c) The intensity of the sound in part (a) is 100 timesas great as that in part (b). Is the number of decibels100 times as great? Explain. 84. Sound Intensity The relationship between thenumber of decibels B and the intensity of a sound / (inwatts per square meter) isB- 10 kog 10(a) Determine the number of decibels of a sound withan intensity of I watt per square meter.(b) Determine the number of decibels of a sound withan intensity of 10 watt per square meter.(c) The intensity of the sound in part (a) is 100 timesas great as that in part (b). Is the number of decibels100 times as great? Explain.Exploration

84. Sound Intensity The relationship between the number of decibels B and the intensity of a sound / (in watts per square meter) is B- 10 kog 10 (a) Determine the number of decibels of a sound with an intensity of I watt per square meter. (b) Determine the number of decibels of a sound with an intensity of 10 watt per square meter. (c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain. Exploration

84. Sound Intensity The relationship between the number of decibels B and the intensity of a sound / (in watts per square meter) is B- 10 kog 10 (a) Determine the number of decibels of a sound with an intensity of I watt per square meter. (b) Determine the number of decibels of a sound with an intensity of 10 watt per square meter. (c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain. Exploration

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 8E

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Sound Intensity The relationship between the
number of decibels β and the intensity of a sound I (in
watts per square meter) is
β = 10 log I
10−12.
(a) Determine the number of decibels of a sound with
an intensity of 1 watt per square meter.
(b) Determine the number of decibels of a sound with
an intensity of 10−2 watt per square meter.
(c) The intensity of the sound in part (a) is 100 times
as great as that in part (b). Is the number of decibels
100 times as great? Explain.

84. Sound Intensity The relationship between the
number of decibels B and the intensity of a sound / (in
watts per square meter) is
B- 10 kog 10
(a) Determine the number of decibels of a sound with
an intensity of I watt per square meter.
(b) Determine the number of decibels of a sound with
an intensity of 10 watt per square meter.
(c) The intensity of the sound in part (a) is 100 times
as great as that in part (b). Is the number of decibels
100 times as great? Explain.
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