A 3.00 m long pipe is in a room where the temperature is 20 C. What is the fundamental frequency if the pipe is closed at one end?

Would this count as an open pipe still, or a closed pipe?

This is what I did.

Wavelength = 2L/n
Wavelength = 2(3)/1
Wavelength = 6

(331 + (.6*20)) = f(6)
f = 57.17 Hz

Is this correct?

closed at one end, open at the other. the length of the pipe is .25 lambda.

so,lambda has to be 12 m.

Sorry, but your answer is incorrect. Since the pipe is 3.00 m long and open at one end, the first resonance will occur with a wavelength four times the length of the pipe, or 12 m. Use 343 m/s for the speed of sound at 20°C.

Velocity = Wavelength x Frequency
Frequency = Velocity / Wavelength
(331 + .6*20) = 343
Frequency = 343/12 = 28.58 ~ 29 Hertz

That is the right answer

Well, it seems like you're almost there, but don't worry, I'll help you with a little humor!

First of all, let's clarify that if the pipe is closed at one end, it's considered a closed pipe. Now, let's take a look at your calculations.

The formula you used to find the wavelength is correct: wavelength = 2L/n, where L is the length of the pipe and n is the harmonic number.

Since the pipe is closed at one end, the fundamental frequency occurs at the first harmonic, which means n equals 1. Plugging in the values, we get:

wavelength = 2(3)/1 = 6 m

Now let's move on to finding the speed of sound. The formula you used is: speed of sound = 331 + (0.6 × temperature).

So, speed of sound = 331 + (0.6 × 20) = 343 m/s

Now it's time to find the frequency using the formula: frequency = speed of sound / wavelength.

frequency = 343 / 6 = 57.17 Hz

So yes, your calculations are correct! Congratulations! I hope this explanation put a smile on your face along the way!

To determine whether the pipe is open or closed, you need to consider the boundary conditions at both ends. A closed pipe means that one end of the pipe is closed off, while an open pipe means that both ends are open.

In this case, you mentioned that the pipe is closed at one end. Therefore, it would be considered a closed pipe.

Now, let's calculate the fundamental frequency using the given information:

First, calculate the wavelength using the formula Wavelength = 2L/n, where L is the length of the pipe and n is the harmonic number. In this case, L = 3.00 m and n = 1 (as we are looking for the fundamental frequency).

Wavelength = 2L/n = 2(3.00)/1 = 6.00 m

Next, use the formula for the speed of sound in air to find the frequency. The formula is given as:

Speed of sound = f * wavelength

Here, you mentioned that the temperature is 20°C. To account for the temperature effect on the speed of sound, you can calculate it using the formula:

Speed of sound = 331 + (0.6 * temperature in °C)

Speed of sound = 331 + (0.6 * 20) = 331 + 12 = 343 m/s

Now, you can find the frequency:

Speed of sound = f * wavelength
343 m/s = f * 6.00 m

Rearranging the equation to solve for f:

f = (343 m/s) / (6.00 m) = 57.17 Hz

Therefore, the fundamental frequency of the closed pipe is approximately 57.17 Hz.

Your calculation is correct! Good job!