Question

The gague pressure of air in bus tyre is100pound force per square inch. Express this in SI unit(the newton per square metre , or pascal). (Given:1pound force=4.448N)

Answer 1

Dear Student,

$$\begin{gathered} \text{Given That} \\ PressureP=100\frac{pounds}{inc{h}^2} \\ 1pound=4.448N \\ 1inch=2.54cm\Rightarrow 2.54\times {10}^{-2}m \\ \Rightarrow sq.inch\Rightarrow 6.4516\times {10}^{-4}{m}^2 \\ \Rightarrow PressurePinS.Iunit=100\times \left(\frac{4.448N}{6.4516x{10}^{-4}{m}^2}\right)=6.994\times {10}^4\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$m^2$}\right. \\ Regds \end{gathered}$$