Subtract the force compressed by the hemisphere if we assume that it acts on an area equal to 2800 cm2

Subtract the force compressed by the hemisphere if we assume that it acts on an area equal to 2800 cm2, and the atmospheric pressure is 760 mm Hg.

Given:

s = 2800 cm2 = 0.28 m2 is the surface area of the hemispheres;

p = 760 mm Hg = 0.76 meters of mercury – the pressure acting on the hemispheres;

g = 10 N / kg – acceleration of gravity;

ro = 13500 kg / m3 is the density of mercury.

It is required to determine F (Newton) – the force acting on the hemispheres.

Let’s convert the units of measurement of pressure from millimeters of mercury to Pascals:

P = p * ro * g = 0.76 * 13500 * 10 = 7.6 * 13500 = 102,600 Pascal.

Then the force will be equal to:

F = P * s = 102,600 * 0.28 = 28728 Newtons (approximately 28.7 kN).

Answer: a force equal to 28.7 kN acts on the hemispheres.