Question

how much force is exerted by the atmosphere on 1.00km^2 of land at sea level

Answer 1

"Normal" atmospheric pressure is 101.325 kilopascals

                                       =  101,325 pascals

                                       =  101,325 newtons/meter² .

1 km²  =  (1,000 m) x (1,000 m)  =  1 million m²

       Force = (101,325 N/m²)  x  (1 million m²)

                 =  101,325,000,000 Newtons

                 =    1.013 x 10¹¹ Newtons

                 =    101.3  Giganewtons .

That's the weight of all the air sitting on 1 km² of land.

Answer 2

The magnitude of the force exerted by the atmosphere on a land is 101,325,000,000 Newton.

Given the following data:

Area of land = 1.00 $km^2$

At sea level, the standard pressure exerted by the atmosphere on a land is equal to 101,325 Pascal or 1 atm.

Conversion:

1 $km^2$ = 1,000,000 $m^2$

To determine the magnitude of the force exerted by the atmosphere on a land:

Mathematically, the pressure acting on an area is given by the formula:

$Pressure = \frac{Force}{Area}$

Making force the subject of formula, we have:

$Force = Pressure \times Area$

Substituting the given parameters into the formula, we have;

$Force = 101325 \times 1000000\\\\Force = 101325000000$

Force = 101,325,000,000 Newton.

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