A ship uses pulses of sound to measure the depth of the sea beneath the ship. A sound pulse is transmitted into the sea and the echo from the sea-bed is received after 54 ms (millisecond). The speed of sound in seawater is 1500 m / s. Calculate the depth of the sea beneath the ship.
Answers
Answer:
Given: The echo from the sea bed is received after 54 ms and the speed of sound in seawater is 1500 m/s.
To find: The depth of the sea beneath the ship.
Solution:
The speed of the sound pulse in seawater is 1500 m/s.
The echo from the sea bed is received after 54 ms (millisecond), so the time taken is half of 54 ms.
Hence, the time taken is 27ms, that is, 27 * 10^{-1} s27∗10
−1
s .
The depth of the sea is the distance travelled by the sound pulse.
According to the speed formula,
Speed = \frac{distance}{time}Speed=
time
distance
.
So, Depth = speed * timeDepth=speed∗time
Depth = 1500 m/s * 27 * 10^{-1} sDepth=1500m/s∗27∗10
−1
s
= 4050 m=4050m .
Therefore, the depth of the sea beneath the ship is 4050 m.
Answer:
The depth of the sea beneath the ship is 4050 m.
Explanation:
Given: The echo from the sea bed is received after 54 ms and the speed of sound in seawater is 1500 m/s.
To find: The depth of the sea beneath the ship.
Solution:
The speed of the sound pulse in seawater is 1500 m/s.
The echo from the sea bed is received after 54 ms (millisecond), so the time taken is half of 54 ms.
Hence, the time taken is 27ms, that is, .
The depth of the sea is the distance travelled by the sound pulse.
According to the speed formula,
.
So,
.
Therefore, the depth of the sea beneath the ship is 4050 m.