B M Sharma Solutions for Chapter: Fluid Mechanics, Exercise 3: CONCEPT APPLICATION EXERCISE

A rectangular box is completely filled with a liquid of density $\rho ,$ as shown in figure. The box is accelerated horizontally with a constant acceleration $a.$ Determine the gauge pressures at the four points $A, B, C$ and $D.$

Figure shows an $L$-shaped tube filled with a liquid to a height $H.$ What should be the horizontal acceleration a of the tube so that the pressure at the point $A$ becomes atmospheric.

A container shown in figure is accelerated horizontally with acceleration $a.$ Find the minimum value of $a$ at which liquid just starts spilling out.

A closed rectangular tank $10\mathrm{m}$ long, $5\mathrm{m}$ wide and $3\mathrm{m}$ deep is completely filled with an oil of specific gravity $0.92.$ Find the pressure difference between the rear and front corners of the tank, if it is moving with an acceleration of $3\mathrm{m}/{\mathrm{s}}^2$ in the horizontal direction.

A cylinder of radius $a$ and height $H$ is filled with a liquid to an unknown height $h.$ When it is rotated at an unknown constant angular velocity $\omega ,$ the base of the cylinder gets exposed when the liquid just starts spilling out, as shown in figure.
(a) Find the height $h$ of the liquid.
(b) Find the angular speed $\omega$ of the cylinder.

A cylinder of radius $R=1\mathrm{}\mathrm{m}$ and height $H=3\mathrm{m}$, two thirds filled with water, is rotated about its vertical axis, as shown in figure. Determine the speed of rotation when
The point at the centre of the base is just exposed.

A U-tube shown in figure containing two liquids of specific gravities ${\rho }_1$ and ${\rho }_2$ is given an acceleration $a$ in the horizontal direction. What is the ratio ${\rho }_1 : {\rho }_2?$

A U- tube of length $L$contains liquid. It is mounted on a horizontal turn table rotating with an angular speed $\omega$ about one of its arms as shown in figure. Find the difference in heights $\left(h\right)$ between the liquid columns in two vertical arms.