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10 POINTS!!! Determine the pressure of your book in pascals (Pa). Show your work! (the pressure of the book in psi is 0.03 psi) Also the weight of the book is 3 lbs

HInt: 1 Pa = 1 N/m^2 Weight (force) = ma 1 kg = 2.2 lbs 1 inch = 2.54 cm 1m = 100 cm

1 Answer

3 votes

You've listed a lot of data here, in both metric and customary units,
and I'm not even sure it's all needed. Let me try and boil it down:

Pressure on a surface =
(total force on a surface)
divided by (area of the surface).

The answer to the question is the pressure expressed in pascals.
There's actually enough information here to answer the question
in 2 different ways. We could ...

-- simply convert (0.03 pound per inch²) to pascals, or
-- go through the whole calculation of force, area, and then their quotient.

To me, converting 0.03 psi to Pa looks easier.

-- 1 pascal = 1 newton / 1 meter²

-- On Earth, 1 kilogram of mass weighs 9.8 Newtons and 2.2 pounds.
From this, we can calculate that

2.2 pounds of force = 9.8 newtons of force.

1 pound = 4.45 newtons

(0.03 pound/inch²) x (4.45 newton/pound) x (1inch/2.54cm)² x (100cm/1m)² =

(0.03 x 4.45 x 1² x 100²) / (2.54² x 1²) newton/meter² = 206.9 Pa .

User Dustin Kingen
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