Question

a) The fundamental frequency of a vibrating system is 450 Hz. If the system is a cylindrical pipe with only one end open, give the lowest frequency (excluding the fundamental) at which a standing wave can occur.

b)The fundamental frequency of a vibrating system is 275 Hz. If the system is a cylindrical pipe with only one end open, give the lowest frequency (excluding the fundamental) at which a standing wave can occur.

Answer 1

a)f = 450 Hz

for only one end open,

n lambda/2 = L

n is the odd number.

for fundamental frequency, n = 1 and for first over tone n = 3

1/450 = f'/3

f' = 1350 Hz

b)f = 275 Hz

similarly, f' = 3f

f' = 3 x 275 = 825 Hz

Hence, f' = 825 Hz