A house has a roof (colored gray) with the dimensions shown in the drawing. Determine the magnitude of the net force that the
atmosphere applies to the roof when the outside pressure drops suddenly by 13.2 mm of mercury, before the pressure in the attic can
adjust.

Question

30-06-2022
Physics

Answered

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A house has a roof (colored gray) with the dimensions shown in the drawing. Determine the magnitude of the net force that the
atmosphere applies to the roof when the outside pressure drops suddenly by 13.2 mm of mercury, before the pressure in the attic can
adjust.

Sagot :

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sp10925 sp10925 · Answer 1 · 2022-07-05T02:13:17-04:00

The magnitude of the net force that the atmosphere applies to the roof when the outside pressure drops suddenly is 1.9 x 10⁵ N.

What is pressure?

The pressure is the amount of force applied per unit area.

Pressure p = Force/Area

Given is a house has a roof (colored gray) with the dimensions shown in the drawing. The outside pressure drops suddenly by 13.2 mm of mercury, before the pressure in the attic can adjust.

The pressure difference ΔP = 13.2 mm of Hg

The length of the roof l = 14.5m

the breadth of the roof h = 4.21m

The force exerted by pressure is

Force, F = P x A

= (13.2 mm of Hg) [(133 N/m²) /1 mm of Hg ](14.5 x 4.21)

= 107,170.6 N

Then the net vertical force

Fnet = 2F cos30

Fnet = 2 ( 107,170.6) cos30

Fnet = 185625 N

Fnet =1.9 x 10⁵ N

The direction of the force is downwards, since the horizontal components of the forces cancel each other.

Hence, magnitude of the net force is 1.9 x 10⁵ N

Learn more about pressure.

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Sagot :

What is pressure?

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