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在距海面6.8米的轮船甲板上向海底发射超声波信号，经过0.64s接收到反射信号，此处海水的深度为_________m。（当时气温为15℃，声音在海水中的速度是1...

Mar 19, 2024

在距海面6.8米的轮船甲板上向海底发射超声波信号，经过0.64s接收到反射信号，此处海水的深度为_________m。（当时气温为15℃，声音在海水中的速度是1530m/s）

Solution

Calculate the total distance traveled by the ultrasonic signal

Since the signal travels to the sea floor and back, divide the total distance by 2 to find the depth

Answer

486.4

Key Concept

The speed of sound in a medium and the time taken for an echo to return can be used to calculate the distance to an object. The formula used is

d = \frac{1}{2} v t

, where

d

is the distance to the object,

v

is the speed of sound in the medium, and

t

is the total time for the signal to travel to the object and back.

Explanation

The ultrasonic signal travels to the sea floor and back in 0.64 seconds. The speed of sound in seawater at the given temperature is 1530 m/s. By multiplying the speed of sound by the time and dividing by 2, we find the depth of the sea at that point.