Question

A tank containing water upto a depth of 500 mm is moving vertically upward with a constant acceleration of $2.45m/s^2$. Find total pressure(force in this case) applied by the water on the side of the tank given its width is 2m.

• A. 3065.6 N
• B. 1045.2 N
• C. 869.3 N
• D. None of these

Answer 1

The correct option is A 3065.6 N

Pressure at depth $x$ of an upward accelerating system=$\rho (g+a)x$

Hence force applied by this pressure on in infinitesimally thin strip of area $cdx=PdA=\rho (g+a)x\left(cdx\right)$

Hence net force applied on the side of the wall $={\int }_0^h\rho (g+a)cxdx$

$=\rho (g+a)c\frac{h^2}{2}$

$=3065.6N$