1. Write a brief definition of resonance. 2. How does the speed of sound vary wi

Question

1. Write a brief definition of resonance.
2. How does the speed of sound vary with temperature?
3. Calculate the speed of sound in air at a temperature Tc = 24 oC.
4. What are the approximate x1 and x2 values that you expect in an air column resonance experiment performed at 240C with a tuning fork frequency, f=540Hz?
5. What is the fundamental frequency?
6. Draw three patterns of the longitudinal standing waves which possibly exist inside the resonance tube
7. Given the following data for aluminum, compute the speed of sound in an aluminum rod.
   Y = 6.90 x 1010 N/m2
p = 2.70 x 103 kg/m3
8. How are the harmonics related to the fundamental frequency for the resonance tube?

Explanation / Answer

I would be answering only 4 parts;

1) Resonance: Resonnace is defined when one object vibrating at the same natural frequency of a different object, sets that different object into vibrational motion.

2) velocity of sound in air = 331.4 + 0.6 T m/s ( where T is the temp)

3) V= 331.4 + 0.6 ( 24) = 34 5.8 m/s apprx

7) speed of sound in aluminium rod= sqroot ( 6.90 x 10^10 / 2.70 x 10^3) = 5.05 x 10^ 3 m/s apprxspeed

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