Question

Ныряльщик за жемчугом погрузился на глубину 30 м. Считая плотность морской воды равной 1030 кг/м3, определите, какое давление дополнительно к атмосферному испытывает ныряльщик на этой глубине? По моим расчетам, ответ будет приблизительно 410 кПА. (302.82 кПА (давление воды) + 101,308 кПА (атмосферное давление)) Правильное решение? Если нет, то как лучше написать?

Answer 1

Дополнительно к атмосферному, т.е. прибавлять атмосферное не надо

А так ход расчета верный

1030*30*9,8=302820

Answer 2

Calculation of Pressure at a Depth of 30m

To determine the additional pressure experienced by a diver at a depth of 30m, we can use the formula for pressure in a fluid:

Pressure = Density x Gravity x Depth

In this case, the fluid is seawater, and we are given the density of seawater as 1030 kg/m³. The acceleration due to gravity is approximately 9.8 m/s².

Plugging in the values, we can calculate the pressure:

Pressure = 1030 kg/m³ x 9.8 m/s² x 30m

Calculating this expression gives us a pressure of approximately 301,800 Pa (Pascals).

Conversion to Kilopascals (kPa)

To convert the pressure from Pascals to kilopascals, we divide the value by 1000:

301,800 Pa ÷ 1000 = 301.8 kPa

Therefore, the pressure at a depth of 30m is approximately 301.8 kPa.

Comparison to Atmospheric Pressure

To determine the additional pressure experienced by the diver, we need to compare the pressure at the depth of 30m to the atmospheric pressure at sea level. The atmospheric pressure at sea level is approximately 101.3 kPa.

To find the additional pressure, we subtract the atmospheric pressure from the pressure at the depth:

Additional Pressure = Pressure at Depth - Atmospheric Pressure

Additional Pressure = 301.8 kPa - 101.3 kPa

Calculating this expression gives us an additional pressure of approximately 200.5 kPa.

Therefore, the correct answer for the additional pressure experienced by the diver at a depth of 30m is approximately 200.5 kPa, not 410 kPa as mentioned in your calculations.

Please let me know if you have any further questions!