A man stands in between two walls and bursts a balloon. He hears two successive echoes after 0.5s and 2.5s Calculate the distance between the walls when the speed of sound is 332m/s.mSKIP CONFIRM
Question
A man stands in between two walls and bursts a balloon. He hears two successive echoes after 0.5s and 2.5s Calculate the distance between the walls when the speed of sound is 332m/s.mSKIP CONFIRM
Solution
Sure, let's calculate the distance between the walls.
Step 1: Determine the time it takes for the sound to travel from the man to the first wall and back. Given that the first echo is heard after 0.5 seconds, the sound traveled from the man to the first wall and back in 0.5 seconds. Therefore, the round trip time is 0.5 seconds.
Step 2: Determine the time it takes for the sound to travel from the man to the second wall and back. Given that the second echo is heard after 2.5 seconds, the sound traveled from the man to the second wall and back in 2.5 seconds. Therefore, the round trip time is 2.5 seconds.
Step 3: Calculate the time it takes for the sound to travel from the first wall to the second wall. To find the time it takes for the sound to travel from the first wall to the second wall, we subtract the round trip time to the first wall from the round trip time to the second wall. 2.5 seconds - 0.5 seconds = 2 seconds
Step 4: Calculate the distance between the walls. The speed of sound is given as 332 m/s. We can use the formula distance = speed × time to calculate the distance between the walls. Distance = 332 m/s × 2 seconds = 664 meters
Therefore, the distance between the walls is 664 meters.
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