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iren [92.7K]
3 years ago
6

One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms. Assume that

the air pressure inside of a sealed house is 1.02 atm when a hurricane hits. The hurricane rapidly decreases the external air pressure to 0.910 atm. What net outward force is exerted on a square window of the house that is 2.03 m on each side?
Physics
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

45930.52N

Explanation:

Net force = (internal pressure - external pressure)× area of window

Net force = (1.02 - 0.910)atm × 2.03m × 2.03m = 0.11atm × 4.1209m^2 = 0.11 × 101325N/m^2 × 4.1209m^2 = 45930.52N

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Answer:

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Explanation:

Let's use the pressure equation

      P = F / A

Suppose we have atmospheric pressure 1.01 10⁵ Pa

Let's calculate the area of ​​the can that is a parallelepiped

Length L = 25 cm

width a = 18 cm

high h = 11 cm

Side area A = h a

      A = 11 18

      A1 = 198 10⁻⁴ m²

Lid area

     A2 = L a

     A2 = 25 18

     A2 = 450 10⁻⁴ m²

Other side area

    A3 = L h

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    A3 = 275 10⁻⁴ m²

Now let's calculate the force on these sides

Side 1

     F1 = P * A1

     F1 = 1.01 10⁵ 198 10⁻⁴

     F1 = 1999.8 N

Side 2

    F2 = P A2

    F2 = 1.01 10⁵ 450 10⁻⁴

    F2 = 4545 N

Side 3

   F3 P A3

   F3 = 1.01 10⁵ 275 10⁻⁴

   F3 = 2778 N

We see that the force is greater on side 2 which is where the can should collapse

b) To compare the previous forces we must use the concept of density, in general the cans are made of aluminum that has a density of 2700 kg / m3

    d = m / V

    m = d * V

    V = L a h

    V = 0.25 0.18 0.11

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    m = 2700 0.00495

    m = 13.4 kg

This is the maximum weight, because much of the volume we calculate is air that has a much lower density

   W = 13.4 * 9.8

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Side 1

    F1 / W = 1999.8 / 131.3

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Side 3

   F3 / W = 2778 / 131.3

   F3 / W = 21.2

c) the cans do not collapse because the pressure is applied on both sides: outside and inside, so the net force is zero on each side.

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