Question

A diver is 30 metres/99 feet underwater. the water pressure at this depth would be ______ times more than the pressure at the surface.

Answer 1

At 30 meters/99 feet underwater, the pressure experienced by a diver is 4 times more than the atmospheric pressure at the surface, amounting to 4 atmospheres absolute (ATAs).

Step-by-step explanation:

The water pressure that a diver experiences increases with depth. At sea level, the pressure is 1 atmosphere (ATA). For every 33 feet of salt water added, there is an increase of 1 ATA. Therefore, at a depth of 30 meters (or approximately 99 feet), the pressure would be the sum of the pressure from the air above (1 ATA) and the pressure from the water. To calculate the water pressure, you would divide the depth by 33 feet to find out how many ATAs are added by the water. In this case, 99 feet divided by 33 feet is 3 ATAs from the water. Adding the 1 ATA from the atmosphere, the total pressure experienced by the diver is 4 ATAs. So, the water pressure at 30 meters/99 feet underwater would be 4 times more than the pressure at the surface.

Answer 2

Answer: the pressure 30 meters underwater is about 4 times the pressure at the surface.

Step-by-step explanation:

1) Pressure at the surface = Pressure of the atmosphere = 1 atm

Convert 1 atm to pascals.

1 atm = 101,325 Pa

2) Pressure 30 meters underwater = Pressure at the surface + pressure of the water

3) Pressure of the water = density of the water × g × deep

Pressure of 30 meters of water = 1000 kg/m³ × 9.81 m/s² × 30 m = 294,300 Pa

3) Pressure 30 meters underwater = 101,325 Pa + 294,300 Pa = 395,625 Pa

4) Ratio = 395,625 / 101,325 = 3,9

Therefore, the pressure 30 meters underwater is about 4 times the pressure at the surface level.