Final answer:
To calculate the force needed to open the hatch from the inside, we can use the formula F = P * A, where F is the force, P is the pressure, and A is the area of the hatch. By plugging in the given values, we find that the force needed is approximately 64,267.22 newtons.
Step-by-step explanation:
To calculate the force needed to open the hatch from the inside, we can use the formula:
F = P * A
where F is the force, P is the pressure, and A is the area of the hatch.
The pressure inside the submarine is given as 1.00 atm, which is equivalent to 101,325 pascals. The area of the hatch can be calculated using the formula for the area of a circle: A = π * r^2, where r is the radius of the hatch.
Given that the diameter of the hatch is 0.450 m, the radius is half of that, which is 0.225 m.
Plugging these values into the formula, we get: F = 101,325 pascals * π * (0.225 m)^2 = 64,267.22 newtons.
Therefore, the force needed to open the hatch from the inside is approximately 64,267.22 newtons.