Fundamental Frequencies and Pipe Lengths

The video tutorial covers solutions to standing wave practice problems involving open and closed pipes. It explains how to calculate the first three harmonics for both open and closed pipes, determine pipe lengths for specific frequencies, and understand the effect of temperature on sound wave speed and frequency. The tutorial provides step-by-step calculations and highlights key relationships between harmonics and fundamental frequencies.

What is the formula to calculate the frequency of the nth harmonic in an open pipe?

• n times velocity divided by 2 times length

• n times velocity divided by 4 times length

• n times velocity divided by length

• n times length divided by 2 times velocity

If the fundamental frequency of an open pipe is 70.1 Hz, what is the frequency of the second harmonic?

• 280.4 Hz

• 35.05 Hz

• 140.2 Hz

• 210.3 Hz

In a closed pipe, which harmonics are present?

• Both odd and even-numbered harmonics

• No harmonics

• Only odd-numbered harmonics

• Only even-numbered harmonics

What is the frequency of the third harmonic in a closed pipe if the fundamental frequency is 35.1 Hz?

• 105.3 Hz

• 140.4 Hz

• 175.5 Hz

• 70.2 Hz

What is the length of an open organ pipe with a fundamental frequency of 261.6 Hz and a speed of sound of 343 m/s?

• 1.32 meters

• 0.99 meters

• 0.66 meters

• 0.33 meters

For a closed organ pipe with a third harmonic frequency of 261.6 Hz, what is the length of the pipe?

• 0.49 meters

• 0.74 meters

• 0.98 meters

• 1.22 meters

What is the speed of sound at 0°C used in the third problem?

• 331 m/s

• 355 m/s

• 349 m/s

• 343 m/s

What is the length of a pipe open at both ends with a fundamental frequency of 300 Hz at 0°C?

• 0.45 meters

• 0.55 meters

• 0.65 meters

• 0.75 meters

At 30°C, what is the speed of sound used to calculate the fundamental frequency in the third problem?

• 355 m/s

• 349 m/s

• 343 m/s

• 331 m/s

What is the fundamental frequency of a pipe open at both ends at 30°C if the length is 0.552 meters?

• 348 Hz

• 332 Hz

• 316 Hz

• 300 Hz