Concept explainers
Sound Intensity The loudness of a sound is measured in decibels. The decibel level of a sound is given by the formula
a. Find the decibel levels of each of the following, rounding to the nearest decibel:
Whisper:
TV (average volume from 10 feet):
Loud music:
Jet aircraft (from 500 feet):
b. Which of the sounds above damages the average human ear?
c. Solve the given equation to express I in terms of D.
d. Use the answer to part (c) to show that if two sounds of intensity
e. Fill in the blank: If one sound registers 1 decibel more than another, then it is _____ times as intense.
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Chapter 2 Solutions
Student Solutions Manual for Waner/Costenoble's Applied Calculus, 7th
- The formula for measuring sound intensity indecibels D is defined by the equation D=10log (II0), where I is the intensity of the sound in wattsper square meter and I0=1012 is the lowest level ofsound that the average person can hear. How manydecibels are emitted from a largeorchestra with asound intensity of 6.3103 watts per square meter?arrow_forwardEarthquake Intensity The magnitude of an earthquake, measured on the Richter scale, is given by RI=logII0, where I is the amplitude registered on a seismograph located 100 Km from the epicenter of the earthquake, and I0 is the amplitude of a certain small size earthquake. Find the Richter scale ratings of earthquakes with the following amplitudes. a. 1,000,000I0 b. 100,000,000I0 c. On June 15,1999, the city of Puebla in central Mexico was shaken by an earthquake that measured 6.7 on the Richter scale. Express this reading in terms of I0. Source: Exploring Colonial Mexico. d. On September 19,1985, Mexicos largest recent earthquake, measuring 8.1 on the Richter scale, killed about 10,000 people. Express the magnitude of an 8.1 reading in terms of I0.Source: History.com. e. Compare your answers to part c and d. How much greater was the force of the 1985 earthquake than the 1999 earthquake? f. The relationship between the energy E of an earthquake and the magnitude on the Richter scale is given by RE=23logEE0, where E0 is the energy of a certain small earthquakes. Compare the energies of the 1999 and 1985 earthquakes. g. According to newspaper article, "Scientists say such an earthquake of magnitude 7.5 could release 15 times as much energy as the magnitude 6.7 trembler that struck the Northbridge section of Los Angeles" in 1994.Source: The New York Times. Using the formula from part f, verify this quote by computing the magnitude of an earthquake with 15times the energy of a magnitude 6.7 earthquake.arrow_forwardThe formula for measuring sound intensityin decibels D is defined by the equation D=10log(II0) where I is the intensity of the sound in watts persquare meter and I0=1012 is the lowest level of sound that the average person can hear. How manydecibels are emitted from a rock concert with a sound intensity of 4.7101 watts per square meter?arrow_forward
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