Question

What would be an equation to find the dimensions of a saxophone reed? Specifically the alto saxophone reed.

Answer 1

Answer is given in the image

This equation relates the frequency of vibration to the dimensions and properties of the reed. To find the dimensions of the reed, you can measure the length (L), tension (T), and mass per unit length (μ) of the reed, and then solve for the fundamental frequency (f). Keep in mind that reed dimensions can vary, so you might need additional information about the reed's properties or consider using experimental data to determine the exact dimensions.

I hope my answer helps you.

Answer 2

Assuming the reed of a saxophone is a rectangular shape like most traditional saxophone reeds, we will need to find its length and width to determine its area. Please note that the measurements of a saxophone reed can vary according to the preferences of the musician and the specifications of the manufacturer.

However, for the purpose of this solution, I'll be using standard measurements based on average reed sizes. For an alto saxophone reed, the length is typically about 70mm (millimeters) and the width is about 15mm.

1. Identify the length and width of the reed:

Length (l) = 70mm (millimeters).

Width (w) = 15mm (millimeters).

2. So, we can set up our equation to calculate the area:

Area of the reed (A) = length (l) * width(w)

That is, A = l * w

3. Let's plug into this equation the standard measurements of an alto saxophone reed:

A = l * w

Thus,

A = 70mm * 15mm

A = 1050 square millimeters.

In conclusion, the equation to find the area of a saxophone reed is A = l * w. For a typical alto saxophone reed with a length of 70 mm and a width of 15 mm, the area would be 1050 square mm.