Verified Answer :
"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.
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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