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REY [17]
3 years ago
15

What is the atmospheric pressure?

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The atmospheric pressure is about 101325Pa.

Pascal is a unit for pressure and since pressure can be defined as force/ area, the pressure can also be written as 101325 N/m².

1 m² ----- 101325 N

Pounds is a unit for mass, so let's relate force (Newtons) to mass.

\boxed{F = ma}

☆ where F= force, m= mass and a= acceleration due to gravity

Since the gravitational field strength is about 9.8 N/kg on earth, a= 9.8.

101325= m(9.8)

m= 10339 Kg (5 s.f.)

Since 1 kg is about 2.205 pounds,

m

= (10339 ×2.205) pounds

= 22797.495 pounds

= 22797 pound (5 s.f.)

1 m² ----- 22797 pounds

Now convert m² to in².

1 m² is about 1550 in², thus

1550 in² ----- 22797 pounds

1550 in² ----- 22797 pounds

1 in²----- 22797 ÷1550

1 in² ----- 14.708 pounds (5 s.f.)

1 in² ----- 14.7 pounds (3 s.f.)

Thus, 1 atm≈ 14.7 pounds per square inch.

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