Final answer:
The force exerted by air on a disk of radius 1 meter at the water's surface, is 3.14 × 10⁵ N.
Step-by-step explanation:
To calculate the force exerted by air on a disk of radius 1 meter at the water's surface, we need to consider atmospheric pressure. At sea level, the atmospheric pressure is approximately 1.01 × 10⁵ N/m².
To find the force, we multiply this pressure by the area of the disk. The area of a circle (disk) is given by A = πr2, where 'r' is the radius of the disk. In this case, r = 1 meter.
The area of the disk is then: A = π(1 m)2 = π m². The force exerted by the air on the disk is thus:
F = pressure × area
= 1.01 × 10⁵ N/m² × π m²
= 1.01 × 10⁵ N/m² × 3.14 m²
= 3.14 × 10⁵ N
Therefore, the approximate force is F = 3.14 × 10⁵ N