The basic barometer can be used to measure the height of the building. If the barometer reading at the top & batton of the building is 730mm Hg & 755 mm Hg. Determine the height of the building. the density of air 1.18 kg per cubic meter & 13600 kg per cubic meter
△P=Pdown−Ptop=(hdown−htop)ρHg×g\triangle P=P_{down}-P_{top}=(h_{down}-h_{top}) \rho _{Hg} \times g△P=Pdown−Ptop=(hdown−htop)ρHg×g
△P=(755−730)×10−3×13600×9.81\triangle P=(755-730) \times 10^{-3} \times 13600 \times 9.81△P=(755−730)×10−3×13600×9.81
△P=△yρairg\triangle P=\triangle y \rho_{air}g△P=△yρairg
△y=△Pρairg=(755−730)×10−3×13600×9.811.18×9.81=288.136m\triangle y = \frac{\triangle P}{\rho_{air}g}= \frac{(755-730) \times 10^{-3} \times 13600 \times 9.81}{1.18 \times 9.81}= 288.136 m△y=ρairg△P=1.18×9.81(755−730)×10−3×13600×9.81=288.136m
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