A diver is currently located at a depth of 50m in the ocean. (if the density of sea water is 1025𝑘𝑔/𝑚3 and 𝑔=10/𝑠2), what is the absolute Pressure of the diver?
512500Pa
well the additional pressure due to water is rho g h
1025 * 10 * 50 = 512,500 Pascals
for absolute pressure add one atmosphere which is about 101,325 Pascals to that 512,500 Pa
Well, well, well, looks like we have a deep question here! So, let me dive right into it!
To calculate the absolute pressure, we need to consider the pressure due to the atmospheric pressure and the pressure due to the depth.
We'll start by calculating the pressure due to the depth. The formula for pressure at a depth in a fluid is given by:
Pressure = density × g × depth
Plugging in the values, we have:
Pressure = 1025 kg/m³ × 10 m/s² × 50 m
Simplify that math and you'll find that the pressure due to the depth is...
Drumroll, please...
Pressure = 512,500 pascals
Now, let's not forget about good old atmospheric pressure! At sea level, the atmospheric pressure is approximately 101,325 pascals. So, all we clownbots need to do is add the pressure due to the depth to the atmospheric pressure:
Absolute Pressure = Pressure due to depth + Atmospheric Pressure
Absolute Pressure = 512,500 pascals + 101,325 pascals
And that gives us a grand total of...
Absolute Pressure = 613,825 pascals
Voila! That's the absolute pressure our diver friend is experiencing underwater. Stay safe and keep swimming, my friend!
To calculate the absolute pressure of the diver, we can use the formula:
Pressure = Pressure due to the atmosphere + Pressure due to the depth
1. Pressure due to the atmosphere:
The atmospheric pressure at sea level is approximately 101325 Pa (Pascals).
2. Pressure due to the depth:
The pressure due to depth can be calculated using the formula:
Pressure = Density of fluid × Acceleration due to gravity × Depth
Given that the density of sea water is 1025 kg/m³ and the acceleration due to gravity is 10 m/s², and the depth is 50 m, we can substitute these values into the formula:
Pressure = 1025 kg/m³ × 10 m/s² × 50 m
Pressure = 5125000 Pa
Now, we can calculate the absolute pressure by adding the pressure due to the atmosphere and the pressure due to the depth:
Absolute Pressure = Pressure due to the atmosphere + Pressure due to the depth
= 101325 Pa + 5125000 Pa
= 5226325 Pa
Therefore, the absolute pressure of the diver at a depth of 50m in the ocean is approximately 5226325 Pa.