Question

Wave 1: amplitude 0.2 pa, frequency =250 Hz

wave 2: amplitude 0.2 pa, frequency =500Hz
wave 3: amplitude 0.2 pa, frequency =1000Hz
wave 4: amplitude 0.4 pa, frequency =1000Hz
Listen to these wave audios and answer the following questions:
1. What are the periods of wave 1,2,&3?
2. What’s the relationship between wave 1,2,&3?
3. What are the perceptual differences between wave 1,2,&3 ?
4. What is the acoustical difference between wave 3 and 4 ?
5. What is the perceptual difference between wave 3 and 4?
6. What are the intensities in dB of wave 3 and 4?

Answer 1

The periods of wave 1, 2, and 3 are 0.004s, 0.002s, and 0.001s respectively. Wave 1, 2, and 3 have the same amplitude of 0.2 Pa. The perceptual differences between the waves are related to their frequencies. The acoustical difference between wave 3 and 4 is the amplitude, and the perceptual difference is the perceived loudness. The intensities in dB of wave 3 and 4 are 123 dB and 129 dB respectively.

Step-by-step explanation:

The periods of wave 1, 2, and 3 can be calculated by using the formula: period (T) = 1/frequency (f). For wave 1 with a frequency of 250 Hz, the period is 1/250 = 0.004 seconds. For wave 2 with a frequency of 500 Hz, the period is 1/500 = 0.002 seconds. For wave 3 with a frequency of 1000 Hz, the period is 1/1000 = 0.001 seconds.

The relationship between wave 1, 2, and 3 is that they all have the same amplitude of 0.2 Pa. The only difference is their frequencies, which determine their pitch.

The perceptual differences between wave 1, 2, and 3 are related to their frequencies. Wave 1 with a frequency of 250 Hz would have a lower pitch compared to wave 2 with a frequency of 500 Hz, which has a higher pitch. Wave 3 with a frequency of 1000 Hz would have an even higher pitch.

The acoustical difference between wave 3 and 4 is the amplitude. Wave 3 has an amplitude of 0.2 Pa, while wave 4 has an amplitude of 0.4 Pa. This means that wave 4 would be perceived as louder or more intense compared to wave 3.

The perceptual difference between wave 3 and 4 is their amplitude. Wave 4 with a higher amplitude of 0.4 Pa would be perceived as louder or more intense compared to wave 3 with an amplitude of 0.2 Pa.

The intensities in dB of wave 3 and 4 can be calculated using the formula: intensity (in dB) = 10 * log10(P/P0), where P is the sound wave's pressure and P0 is the reference pressure. The intensity in dB for wave 3 with an amplitude of 0.2 Pa can be calculated as 10 * log10(0.2^2/2*10^-5) = 123 dB. The intensity in dB for wave 4 with an amplitude of 0.4 Pa can be calculated as 10 * log10(0.4^2/2*10^-5) = 129 dB.