Hans stands at the rim of the grand canyon and yodels down to the bottom. He hears his yodel echo back from the canyon floor 5.20 seconds later. Assume that the speed of sound in air is 340.0m per second. How deep is the canyon? Hint: Note that the time is for the sound to travel to the bottom and back
To find the depth of the canyon, we can use the fact that the time it takes for the sound to travel down to the bottom and back is equal to twice the time it takes for the sound to travel one way.
Let's start by calculating the time it takes for the sound to travel one way. Since the speed of sound in air is given as 340.0 m/s, and the time for the sound to travel down to the bottom is 5.20 seconds, we can set up the equation:
distance = speed × time
Let's assume the distance from the rim to the bottom of the canyon is "d". The time it takes for the sound to travel one way is half of the total time:
time one way = time total / 2 = 5.20 s / 2 = 2.60 s
Now we can use the equation to find the distance:
d = speed × time one way = 340.0 m/s × 2.60 s
Calculating this expression gives us:
d = 884.0 m
Therefore, the depth of the canyon is 884.0 meters.
Since the sound has to travel in both directions:
340 * 5.2/2 = ?