A Pitot tube in an air duct is connected to a vertical mercury manometer

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A Pitot tube in an air duct is connected to a vertical mercury manometer. The manometer shows a height difference of

10\,\text{cm}

of mercury. Take

\rho_{\text{Hg}}=13.6\times10^{3}\,\text{kg m}^{-3}

\rho_{\text{air}}=1.2\,\text{kg m}^{-3}

and

g=9.8\,\text{m s}^{-2}

. Calculate the speed of air in the duct (give your answer to two significant figures).