Question

Echoes are added to audio signals to make the listener "feel" that they are in a particular size of room. Assume that an audio signal is sampled at 22kHz, and that sound propagates at 331 meters/second. In a "small" room, a person typically stands about 3 meters from the walls; in a "large" room, this distance increases to about 10 meters. a. In a small room, how long is the delay between a person making a sound and it echo from the walls?

Answer 1

In a small room, the delay between a person making a sound and hearing its echo from the walls is approximately 0.0091 seconds.

Step-by-step explanation:

In a small room, the delay between a person making a sound and hearing its echo can be calculated by dividing the distance from the person to the wall by the speed of sound. In this case, the distance is 3 meters and the speed of sound is 331 meters/second.

Using the formula: time = distance / speed, we can calculate the time interval as follows:
time = 3 meters / 331 meters/second = 0.0091 seconds.

Therefore, in a small room, the delay between a person making a sound and hearing its echo from the walls is approximately 0.0091 seconds.