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A submarine dives to a depth of 100-m beneath the surface of the Pacific Ocean. The density of sea water is 1030 kg/m3. The submarine has a hatch with an area of 2 m2 located on the top of the submarine. No need to show work. a) Calculate the gauge pressure applied on the submarine at the depth of 100 m. b) Calculate the absolute pressure applied on the submarine at the depth of 100 m. Assume the atmospheric pressure in the air above the ocean is one atmosphere. c) Calculate how much force is required in order to open the hatch from the inside of submarine. Assume that the pressure inside the submarine is one atmosphere.

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tochjosh

Answer:

A) 1010430 pa

B) 1111755 pa

C) 2020860 N

Explanation:

Guage pressure = pgh

= 1030 kg/m3 x 9.81 m/s2 x 100 m

= 1010430 pa

Absolute pressure is Guage pressure + atmospheric pressure.

= 1010430 + 101325 = 1111755 pa

If the pressure inside submarine is 1 atm, then net pressure will be

1111755 - 101325 = 1010430 pa

Force required to open hatch against this pressure will be,

F = pghA

pgh = 1010430 pa

F = 1010430 pa x 2 m^2

F = 2020860 N

mickymike92

Based on the data provided:

  • the gauge pressure is
  • the absolute gauge pressure is 1111755 pa
  • the force required to open the hatch is 2020860 N

What is the gauge pressure on the submarines at the given depth?

The gauge pressure is calculating using the formula:

Guage pressure = pgh

where:

p is density of seawater = 1030 kg/m^3

g is acceleration due to gravity = 9.81 m/s^2

h is depth = 100 m

Substituting:

Gauge pressure = 1030 kg/m3 x 9.81 m/s2 x 100 m

Gauge pressure = 1010430 pa

Therefore, the gauge pressure is 1010420 pa

What is the absolute gauge pressure at this depth?

The absolute gauge pressure is calculated using the formula:

Absolute pressure = Guage pressure + atmospheric pressure.

Atmospheric pressure = 1 atm = 101325 pa

Thus:

Absolute gauge pressure = 1010430 + 101325

Absolute gauge pressure = 1111755 pa

Therefore, the absolute gauge pressure is 1111755 pa

What is the force that will be applied to open the hatch from inside of the submarine?

First determine the net pressure.

Pressure inside submarine = 1 atm

Net pressure = 1111755 - 101325

Net pressure = 1010430 pa

Force required to open hatch against this pressure is then calculated from the formula:

Force = net pressure × area

Force = 1010430 pa x 2 m^2

Force = 2020860 N

Therefore, the force required to open the hatch is 2020860 N

Learn more about about guage pressure and force at: https://brainly.com/question/9376763

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