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).

Question

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)., $p=p_0+\rho g h+\rho h a_0$, $p=p_0+\rho g h$, $p=p_0+\rho h\left(g-a_0\right)$, $p=p_0-\rho g h$

MARKS App · 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 $p=p_0+\rho g^{\prime} h=p_0+\rho\left(g-a_0\right) h \text { [From Eq. (i)] }$

Search any question & find its solution

Looking for more such questions to practice?