Question

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1. (6 points) Convert the following. Show your work, as always. (a) 14.7 pound per square inch to newtons per square meter

Answer 1

$\\ 1\,pound\,\,mass=1\,lb_m=0.4536\,kg\\ 1\,pound\,\,force=1\,lb_f=0.4536\,kg_f\\ 1\,kg_f=9.81\,N\\ 1\,in=0.0254\,m$

$\large \\ 1\,\,pound\,\,per\,\,square\,\,inch= 1\,\,\frac{lb_f}{in^2}\, \times \frac{0.4536\,kg_f}{1\,lb_f} \times \frac{9.81\,N}{1\,kg_f} \times \left [\frac{1\,in}{0.0254 \,m} \right ]^2\\$

  $\large =6897.229\,\, \frac{N}{m^2}$

$\large \\ 14.7\,\,pound\,\,per\,\,square\,\,inch= 14.7\times 6897.229\,\,\frac{N}{m^2}$

$\large =101389.266\,\,\frac{N}{m^2}$

$\large {\color{Blue} \therefore 14.7\,\,pound\,\,per\,\,square\,\,inch= 101389.266\,\,Newtons\,\, per\,\, square\,\, meter}$