Question

If the fundamental frequency of a cylinder is 517HZ, and the speed of sound is 343m/s, determine the length of the cylinder for each of the following cases.

a) the cylinder is closed at one end.
b) the cylinder is open at both ends.

Answer 1

The length of the cylinder in both cases is 0.165 m.

Step-by-step explanation:

The fundamental frequency of a cylinder can be determined using the formula:

f = (v/4L)

Where:

• f is the fundamental frequency
• v is the speed of sound
• L is the length of the cylinder

To determine the length of the cylinder, we can rearrange the formula as:

L = v/(4f)

a) For a cylinder closed at one end, the fundamental frequency is given as 517 Hz and the speed of sound is 343 m/s. Plugging in these values:

L = 343/(4 * 517) = 0.165 m

b) For a cylinder open at both ends, the fundamental frequency remains the same. Plugging in the values:

L = 343/(4 * 517) = 0.165 m

Therefore, the length of the cylinder for both cases is 0.165 m.