34.5k views
3 votes
Atmospheric pressure is about 1.00 × 105 Pa on average. Convert the downward force of the air on a desktop with surface area 1.53 m2 to pounds to help others understand how large it is.

1 Answer

2 votes

Final answer:

To convert the atmospheric pressure exerted on a desktop with a surface area of 1.53 m² to pounds, we multiply the area by the atmospheric pressure and then convert the force from newtons to pounds, resulting in approximately 3,475 pounds.

Step-by-step explanation:

The question asks us to convert the downward force of the air on a desktop with a surface area of 1.53 m² to pounds. We know that atmospheric pressure at sea level averages 1.01 × 10µ Pa, and pressure is the force exerted per unit area. So, the force exerted on the desktop can be calculated by the formula force = pressure × area.

First, we find the force in newtons (N) by multiplying the atmospheric pressure by the desktop surface area:

Force (N) = Atmospheric pressure (Pa) × Surface area (m²)

Force (N) = 1.01 × 10µ Pa × 1.53 m²

Force (N) = 1.5453 × 10µ N

Then we convert the force to pounds. Since 1 N is approximately equal to 0.224809 pounds, we multiply the force in newtons by this conversion factor.

Force (pounds) = 1.5453 × 10µ N × 0.224809 pounds/N

Force (pounds) ≈ 3,475 pounds

Therefore, the atmospheric pressure exerts a force of about 3,475 pounds on the desktop.

User Li Bing Zhao
by
7.6k points