a sound generator is set up 5 m above the diving end of a swimming pool. the depth of the pool is known to be 12 m deep. the generator sends one short pulse of sound down at the pool. it takes 0.05s for an echo to return from the bottom of the pool.What is the speed of sound in the pool water. assume vair= 340m/s
To determine the speed of sound in the pool water, we can use the formula:
Speed of sound = (2 * Distance) / Time
First, let's find the total distance traveled by the sound wave. The sound travels from the generator to the bottom of the pool and then back to the surface, so the total distance is twice the depth of the pool:
Distance = 2 * depth of the pool = 2 * 12 m = 24 m
Next, substitute the given values into the formula:
Speed of sound = (2 * 24 m) / 0.05 s = 48 m / 0.05 s = 960 m/s
Therefore, the speed of sound in the pool water is 960 m/s.