Length of an organ (closed at one end)

[Jbreezy]

Homework Statement

What would be the length of an organ pipe, closed at one end if the fundamental frequency is 355Hz. Assume the temperature is 10°C.

Homework Equations

equation 1. V = λf
equation 2. λ = 4L/n where n = 1

The Attempt at a Solution

So we will do this by rearranging equation one and substituting in for λ in equation 2
Equation one becomes.
λ = v/f
So sub into equation 2
(v/f) = 4L/n
Rearranging for L , we get.
L = Vn / 4f

Now from class I have the equation to calculate the velocity of sound given a temp so we can get v.
v = (331 + 0.6( 10°C))m/s
v = 337 m/s
Putting it all together.
L = (337m/s) / (4(355Hz))
L = .2373 m

Is this correct? Thanks

 

[TSny]

Yes, that looks correct.