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Concept explainers
(a)
The sound which arrives first.
(a)
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Answer to Problem 66AP
The sound through the metal arrives first.
Explanation of Solution
When a hammer is used at one end, the sound can travel through both metal rod and air. The speed of the wave through metal rod is
Since, speed of the sound in metal is greater than the sped of the sound in air, the sound through metal arrives first.
Conclusion:
Therefore, the sound through the metal arrives first.
(b)
The length of the rod as a function of
(b)
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Answer to Problem 66AP
The length of the rod as a function of
Explanation of Solution
Write the expression for the time taken by the sound to travel.
Here,
The delay between the arrival of pulses through copper and air is.
Here,
Rearrange equation (II) to obtain an expression for
Conclusion:
Substitute,
Therefore, length of the rod as a function of
(c)
The length of the rod if
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 66AP
The length of the rod if
Explanation of Solution
Write the expression for the length of the rod.
Conclusion:
Substitute,
Therefore, the length of the rod if
(d)
The length of the rod in terms of
(d)
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Answer to Problem 66AP
The length of the rod in terms of
Explanation of Solution
The speed of the sound in rod is given as
Substitute,
Conclusion:
Therefore, the length of the rod in terms of
(d)
The length of the rod when speed of the sound goes to infinity.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 66AP
The length of the rod when speed of the sound goes to infinity is
Explanation of Solution
Write the expression for the length of the rod.
Conclusion:
Substitute,
Therefore, the length of the rod when speed of the sound goes to infinity is
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Chapter 17 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
- A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?arrow_forwardA pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forward
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- A hammer strikes one end of a thick copper rail of length 8.02 m. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the air and a longitudinal wave that travels through the rail. (The speed of sound in air is 343 m/s.) Find the separation in time between the arrivals of the two pulses.arrow_forwardA 72.0 dB sound wave strikes an eardrum whose area is 4.60*10^-5 m^2.(i) What sound intensity (in W/m2) does this sound level correspond to?(ii) How much sound energy is incident on the eardrum per second?arrow_forward
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