Concept explainers
How much time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is:
a. 0.0°C?
b. 20.0°C?
c. 40.0°C?
d. 80.0°C?
(a)
The time required for the sound wave to travel
Answer to Problem 16PEB
Solution:
Explanation of Solution
Given data:
The distance travelled by the sound is
Formula used:
Write the expression for the time.
Here,
Explanation:
Refer to the table 5.1 given inchapter 5. The velocity of sound at
Substitute
Conclusion:
The time required by the sound to travel
(b)
The time required for the sound wave to travel
Answer to Problem 16PEB
Solution:
Explanation of Solution
Given data:
The distance travelled by the sound is
Formula used:
Write the expression for the velocity of sound at the given temperature.
Here,
Write the expression for the time.
Here,
Explanation:
The velocity of sound at
Here,
Substitute
Calculate the time required by the sound to travel
Substitute
Conclusion:
The time required by the sound to travel
(c)
The time required for the sound wave to travel
Answer to Problem 16PEB
Solution:
Explanation of Solution
Given data:
The distance travelled by the sound is
Formula used:
Write the expression for the velocity of sound at the given temperature.
Here,
Write the expression for the time.
Here,
Explanation:
The velocity of sound at
Here,
Substitute
Calculate the time required by the sound to travel
Substitute
Conclusion:
The time required by the sound to travel
(d)
The time required for the sound wave to travel
Answer to Problem 16PEB
Solution:
Explanation of Solution
Given data:
The distance travelled by the sound is
Formula used:
Write the expression for the velocity of sound at the given temperature.
Here,
Write the expression for the time.
Here,
Explanation:
The velocity of sound at
Here,
Substitute
Calculate the time required by the sound to travel
Substitute
Conclusion:
The time required by the sound to travel
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Chapter 5 Solutions
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