Question

When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A...

When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the rail and the other travels through the air. The two pulses are detected at 20.0 ms apart. The speed of sound in aluminum is 6.42×103 m/s. (a) Determine the length of the rail.

(b) If the air temperature increases to +45.0°C, determine the separation in time between the arrivals of the two pulses.

Homework Answers

Answer #1

(a)

Speed of sound in air vs temperature

s = (331 + 0.606T) m/s

T is temperature in ºC

s = 331 + 0.606(–40) = 307 m/s

time for sound to travel through air is t = L/307 where L is length of rail

time for sound to travel through Al is t = L/6420

difference is 0.02 sec

L/307 – L/6420 = 0.02

0.310157L = 2

L = 6.45 m

b) repeat above for diff temp.

Speed of sound in air vs temperature

s = (331 + 0.606T) m/s

T is temperature in ºC

s = 331 + 0.606(45) = 358.27 m/s

time for sound to travel through air is t = 6.45/358.27 where L is length of rail

time for sound to travel through Al is t = 6.45/6420

6.45/358.27 – 6.45/6420

= 0.017s

That is, 17ms

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
. When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail....
. When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the rail and the other travels through the air. The two pulses are detected at 20.0 ms apart. The speed of sound in aluminum is 6.42×103 m/s. (a) Determine the length of the rail. (b) If the air temperature increases to +45.0°C, determine the separation...
When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A...
When the air temperature is −40.0°C, a hammer strikes one end of an aluminum rail. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the rail and the other travels through the air. The two pulses are detected at 20.0 milliseconds apart. The speed of sound in aluminum is 6.42×10^3 m/s. (a) Determine the length of the rail. (b) If the air temperature increases to +45.0°C, determine the separation in...
2. When the air temperature is -40.0 degreeC, a hammer strikes one end of an aluminum...
2. When the air temperature is -40.0 degreeC, a hammer strikes one end of an aluminum rail. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the rail and the other travels through the air. The two pulses are detected at 20.0 ms apart. The speed of sound in aluminum is 6.42×10^3 m/s. (a) Determine the length of the rail. (b) If the air temperature increases to +45.0 degree C,...
1.The human ear canal is about 2.3 cm long. If it is regarded as a tube...
1.The human ear canal is about 2.3 cm long. If it is regarded as a tube open at one end and closed at the eardrum, what is the fundamental frequency around which we would expect hearing to be most sensitive? ?kHz 2. An airplane traveling at half the speed of sound emits a sound of frequency 5.30 kHz. (a) At what frequency does a stationary listener hear the sound as the plane approaches? ? kHz (b) At what frequency does...
You are working for a plumber who is laying very long sec- CR tions of copper...
You are working for a plumber who is laying very long sec- CR tions of copper pipe for a large building project. He spends a lot of time measuring the lengths of the sections with a measuring tape. You suggest a faster way to measure the length. You know that the speed of a one-dimensional com- pressional wave traveling along a copper pipe is 3.56 km/s. You suggest that a worker give a sharp hammer blow at one end of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Determine the effects of the following on a cash basis taxpayer’s gross income for 2018 and...
    asked 1 minute ago
  • XYZ is a calendar-year corporation that began business on January 1, 2017. For 2018, it reported...
    asked 30 minutes ago
  • Although aging and death are realities that all individuals have to deal with at some point...
    asked 53 minutes ago
  • Implement the following functions with AVR assembly language 1) 2-byte addition (i.e, addition on 16-bit numbers)...
    asked 1 hour ago
  • Assume you have a chemical compound (HA) that is a weak acid which changes color upon...
    asked 1 hour ago
  • A company has two divisions. The first division consists of project management and generated $4,523,367 of...
    asked 1 hour ago
  • Practice Quiz 1 Use the following information to answer questions 1 through 5.                              &
    asked 1 hour ago
  • 3) The corrosion of iron is an electrochemical process that involves the standard reduction potentials given...
    asked 2 hours ago
  • Type or paste question here In 2015, the United States is still recovering from the recession....
    asked 2 hours ago
  • Failures of a critical machine part due to cyclical vibration has a gamma distribution with a...
    asked 2 hours ago
  • f(x)=ln(1+2x), a=4,n=3,3.7<=x<=4.3 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f  Tn(x) when x...
    asked 2 hours ago
  • What is the meaning of convergent and divergent series? Explain your answer with example.
    asked 2 hours ago