If a vessel containing a fluid of density $\rho$ upto height $h$ is accelerated vertically downwards with acceleration $a_0$. Then, the pressure by fluid at the bottom of vessel is given by the equation ........ ( $p_0$ denotes the atmospheric pressure and $g$ denotes the acceleration…

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If a vessel containing a fluid of density $\rho$ upto height $h$ is accelerated vertically downwards with acceleration $a_0$. Then, the pressure by fluid at the bottom of vessel is given by the equation ........ ( $p_0$ denotes the atmospheric pressure and $g$ denotes the acceleration due to gravity).

Aicharya · Accepted Answer

When a vessel containing a fluid of density $\rho$ upto height $h$ is accelerated downwards with acceleration $a_0$, then net gravitational acceleration acting on the fluid $g^{\prime}=g-a_0$ ...(i) Hence, the pressure by the fluid at the bottom of vessel is given as $p=p_0+\rho g^{\prime} h=p_0+\rho\left(g-a_0\right) h \text { [From Eq. (i)] }$

If a vessel containing a fluid of density \(\rho\) upto height \(h\) is accelerated vertically downwards…

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