Item 9 Learning Goal: To learn the properties of logarithms and how to manipulate them when solving sound problems. The intensity of sound is the power of the sound waves divided by the area on which they are incident. Intensity is measured in watts per square meter, or W/m² The human ear can detect a remarkable range of sound intensities. The quietest sound that we can hear has an intensity of 10-12 W/m², and we begin to feel pain when the intensity reaches 1 W/m² Since the intensities that matter to people in everyday life cover a range of 12 orders of magnitude, intensities are usually converted to a logarithmic scale called the sound intensity level 3, which is measured in decibels (dB). For a given sound intensity I, B is found from the equation B = (10 dB) log (1). where lo 1.0 x 10-12 W/m² Part A The logarithm of z, written log(z), tells you the power to which you would raise 10 to get z. So, if y-log(x), then z = 10%. It is easy to take the logarithm of a number such as 10², because you can directly see what power 10 is raised to. That is, log(10²) = 2 What is the value of log(1,000,000)? Express your answer as an integer. ▸ View Available Hint(s) log(1,000,000) 6 ✓ Correct Part B Previous Answers If a speaker gives a sound intensity of 10-6 W/m² at a certain point, what is the sound intensity level 3 at that point? Express your answer in decibels. ▸ View Available Hint(s) 8= ΠΕΙ ΑΣΦ ? <9 of 15 > dB 1 Review
Item 9 Learning Goal: To learn the properties of logarithms and how to manipulate them when solving sound problems. The intensity of sound is the power of the sound waves divided by the area on which they are incident. Intensity is measured in watts per square meter, or W/m² The human ear can detect a remarkable range of sound intensities. The quietest sound that we can hear has an intensity of 10-12 W/m², and we begin to feel pain when the intensity reaches 1 W/m² Since the intensities that matter to people in everyday life cover a range of 12 orders of magnitude, intensities are usually converted to a logarithmic scale called the sound intensity level 3, which is measured in decibels (dB). For a given sound intensity I, B is found from the equation B = (10 dB) log (1). where lo 1.0 x 10-12 W/m² Part A The logarithm of z, written log(z), tells you the power to which you would raise 10 to get z. So, if y-log(x), then z = 10%. It is easy to take the logarithm of a number such as 10², because you can directly see what power 10 is raised to. That is, log(10²) = 2 What is the value of log(1,000,000)? Express your answer as an integer. ▸ View Available Hint(s) log(1,000,000) 6 ✓ Correct Part B Previous Answers If a speaker gives a sound intensity of 10-6 W/m² at a certain point, what is the sound intensity level 3 at that point? Express your answer in decibels. ▸ View Available Hint(s) 8= ΠΕΙ ΑΣΦ ? <9 of 15 > dB 1 Review
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)...
Related questions
Concept explainers
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Question
Transcribed Image Text:Item 9
Learning Goal:
To learn the properties of logarithms and how to manipulate them when
solving sound problems.
The intensity of sound is the power of the sound waves divided by the area
on which they are incident. Intensity is measured in watts per square meter,
or W/m².
The human ear can detect a remarkable range of sound intensities. The
quietest sound that we can hear has an intensity of 10-12 W/m², and we
begin to feel pain when the intensity reaches 1 W/m². Since the
intensities
matter people in everyday life cover a range of 12 orders
of magnitude, intensities are usually converted to a logarithmic scale called
the sound intensity level 3, which is measured in decibels (dB). For a given
sound intensity I, B is found from the equation
ß = (10 dB) log (1),
where Io
= 1.0 × 10-¹2 W/m².
▼
The logarithm of x, written log(x), tells you the power to which you would raise 10 to get æ. So, if y = log(x), then x = 10³. It is easy to take the logarithm of a number such as
10², because you can directly see what power 10 is raised to. That is, log(10²) = 2.
Part A
What is the value of log(1,000,000)?
Express your answer as an integer.
► View Available Hint(s)
log (1,000,000) = 6
Submit Previous Answers
Correct
Part B
If a speaker gives a sound intensity of 10-6 W/m² at a certain point, what is the sound intensity level 3 at that point?
Express your answer in decibels.
► View Available Hint(s)
B =
Submit
ΠΙΑΣΦΑ
?
9 of 15
dB
Review
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON