A ship uses pulses of sound to measure the depth of the sea beneath the ship. A sound pulseis transmitted into the sea and the echo from the sea-bed is received after 54 ms. The speedof sound in seawater is 1500 m / s.Calculate the depth of the sea beneath the ship
Question
A ship uses pulses of sound to measure the depth of the sea beneath the ship. A sound pulseis transmitted into the sea and the echo from the sea-bed is received after 54 ms. The speedof sound in seawater is 1500 m / s.Calculate the depth of the sea beneath the ship
Solution
To calculate the depth of the sea beneath the ship, we can use the formula:
Depth = (Speed of sound * Time) / 2
Given that the speed of sound in seawater is 1500 m/s and the time taken for the echo to be received is 54 ms (or 0.054 s), we can substitute these values into the formula:
Depth = (1500 m/s * 0.054 s) / 2
Simplifying the equation:
Depth = 40.5 m
Therefore, the depth of the sea beneath the ship is 40.5 meters.
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