With what force does the atmospheric air press against the cover of a book measuring 12 x 20 cm2
With what force does the atmospheric air press against the cover of a book measuring 12 x 20 cm2, if the atmospheric pressure is 750 mm?
Given:
a = 12 centimeters = 0.12 meters – the width of the book cover;
b = 20 centimeters = 0.2 meters – the length of the book cover;
P = 750 millimeters of mercury – atmospheric pressure.
It is required to determine F (Newton) – with what force the atmosphere presses on the cover of the book.
Let’s convert pressure units to Pascals:
P = 750 mm Hg column = 750 * 133.322 = 99991.8 Pascal.
Find the surface area of the book cover:
s = 0.12 * 0.2 = 0.024 m2.
Then the pressure force will be equal to:
F = P * s = 99991.8 * 0.24 = 2340 Newtons (the result has been rounded to whole).
Answer: the atmosphere presses on the covers of the book with a force equal to 2340 Newtons.