1. How long does an organ pipe have to be if it is closed at one end, open at th

Question

1. How long does an organ pipe have to be if it is closed at one end, open at the other, and has a fundamental frequency of 107 Hz? Assume that the speed of sound in air is 343 m/s. Your answer should be given in centimeters to the nearest centimeter.

2. A piano tuner hears a beat frequency of 5.4 Hz when comparing the piano's A-string against a reference tuning fork vibrating at 440 Hz. Assuming the piano strong has too low a pitch, what percent increase in tension is needed to bring the string into tune? You answer should be given to the nearest tenth of a percent.

Explanation / Answer

Similar to solve

Time = Distance/Speed
= 39.4/343
= 0.115 s


Time taken to hear the sound of the splash = Time taken for the rock to hit the water + Time taken for sound to reach the soccer player.
3.03 = t + 0.115
t = 2.92 s

We know that S = ut + 1/2 * gt^2. Substituting the values of S and t into this equation, we get:

39.4 = u * 2.92 + 1/2 * 9.8 * (2.92)^2
u = -0.768

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