Question

part 1. A 9.00-m long string sustains a three-loop standing wave pattern as shown. The string has a mass of 45 g and under a tension of 50 N.

a. What is the frequency of vibration?

b. At the same frequency, you wish to see four loops, what tension you need to use.

Part 2.

a. Determine the shortest length of pipe, open at both ends, which will resonate at 256 Hz (so the first harmonics is 256Hz). The speed of sound is 343 m/s. (i got 0.67 m)

b. Determine the shortest length of pipe, open from one end and closed from the other end, which will resonate at 256 Hz (so the first harmonics is 256Hz). The speed of sound is 343 m/s. (i got 0.33 m)

c- For the tube in part b) calculate the third overtone (I got 768 Hz)

Please do both parts and show work.

Answer 1