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An organ pipe is 1.17 m long. The temperature of the air is 20 degree C.
1) What is the fundamental harmonic frequency of this pipe when it is open at both ends?
2) What is the fundamental harmonic frequency of this pipe when it is closed at one end?
The temperature in the room changes to 35 degree C.
3) What is the new fundamental harmonic frequency of this pipe when it is open at both ends?
4) How much would the temperature in the room have to increase for this frequency to increase by 10% (relative to the room at 20oC) ?
5) What would most likely happen if the situation in question 4 were to occur
1. No one would notice.
2. The pitch would be noticeably off, but no other problems.
3. The organist and audience would have already left the room to preserve their lives.
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You may also assume that v_0 gg sqrt{2gL}, so that the change in hammer's gravitational potential energy, as it drives the nail into the block, is insignificant.
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