Question

Глубину моря измеряют с помощью эхолота.Издаваемый им звук доходит до дна,отражается и возращается к эхолоту.Скорость звука в воде 1500м/с 1)Марианская впадина в Тихом океане имеет самую большую в мире глубину.Найдите глубину Марианской впадины,если время,измеренное эхотом,равно 14,7с. 2)Глубина озера Байкал равна 1600м.Найдите время,измеренное эхотом,с точностью до сотых долей секунды. Помиогите

Answer 1

1)
S = v * t
S = 1500 * 14,7 = 22050 (м)
это расстояние туда и назад, поэтому глубина впадины = 
22050 : 2 = 11025
2)
t = S / v
S = 1600 *2 = 3200 (м) - т.к. звук будет идти туда и назад.
t = 3200 / 14,7 = 217,69 (с)

Answer 2

Echo Sounder and Measuring Ocean Depth

The depth of the ocean is measured using an echo sounder, also known as a sonar device. The echo sounder emits sound waves that travel through the water and reach the ocean floor. These sound waves then bounce back and are detected by the echo sounder, allowing for the measurement of ocean depth. The speed of sound in water is an important factor in this process, as it determines the time it takes for the sound waves to travel to the ocean floor and back to the echo sounder.

1) Depth of the Mariana Trench

The Mariana Trench, located in the Pacific Ocean, is known to have the greatest depth of any oceanic trench in the world. To calculate the depth of the Mariana Trench using the given information, we can use the formula:

Depth = (Speed of Sound * Time) / 2

Given that the speed of sound in water is 1500 m/s and the time measured by the echo sounder is 14.7 s, we can substitute these values into the formula to find the depth:

Depth = (1500 m/s * 14.7 s) / 2

Calculating this equation gives us a depth of approximately 11,025 meters for the Mariana Trench.

2) Depth of Lake Baikal

Lake Baikal, located in Siberia, Russia, is the deepest freshwater lake in the world. If we are given the depth of Lake Baikal, we can use the same formula to calculate the time it would take for the sound waves to travel to the lake floor and back to the echo sounder.

Given that the depth of Lake Baikal is 1600 meters, and we want to find the time measured by the echo sounder, we can rearrange the formula as follows:

Time = (Depth * 2) / Speed of Sound

Substituting the values into the formula, we get:

Time = (1600 m * 2) / 1500 m/s

Calculating this equation gives us a time of approximately 2.13 seconds for the echo sounder to measure the depth of Lake Baikal.

Please note that these calculations are based on the assumption that the speed of sound in water remains constant throughout the measurement process. Additionally, the accuracy of the measurements may be influenced by various factors such as water temperature, salinity, and the presence of underwater features that can affect the speed of sound.