Problem 1-7| General Principles| Engineering Mechanics: Statics| RC Hibbeler

The pascal (Pa) is actually a very small unit of pressure. To show this, convert 1 Pa = 1N/m² to lb/ft². Atmospheric pressure at sea level is 14.7 lb/in². How many pascals is this?

Solution:

 

First, we will convert 1 Pa to lb/ft².

1\:Pa=\frac{1\:N}{m^2}\left(\frac{1\:lb}{4.4482\:N}\right)\left(\frac{0.3048^2\:m^2}{1\:ft^2}\right)=20.9\left(10^{-3}\right)\:lb/ft^2

Next, we convert 1 atmospheric pressure to Pa

1\:ATM=\frac{14.7\:lb}{in^2}\left(\frac{4.448\:N}{1\:lb}\right)\left(\frac{144\:in^2}{1\:ft^2}\right)\left(\frac{1\:ft^2}{0.3048^2\:m^2}\right)=101.3\left(10^3\right)\:N/m^2=101.3\left(10^3\right)Pa

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