Chapter 14, Problem 66A

To determine

The depth of water.

Answer to Problem 66A

  $1348.2\text{m}$

Explanation of Solution

Given:

Speed of sound in water is $1498\text{m/s}$ .

Time of the sonar which is sent straight down from a ship at a point below the water surface is $1.80\text{s}$ .

Formula Used:

The formula to calculate depth of water is

  $d=vt$

Where,

Depth: $d$

Velocity: $v$

Time:t

Calculation:

The time for the wave to travel deep down and then back up is $1.80\text{s}$ .

The time for the wave to travel half its way is $0.900\text{s}$ .

  $d=vt$

Substituting the given values in the above formula,

  $d=\left(\text{1498}\text{m/s}\right)\left(\text{0}\text{.900}\text{s}\right)$

  $d=1348.2\text{m}$

Conclusion:

Hence, the depth of water from a ship at a point below the surface of water is $1348.2\text{m}$ .