Home
Class 11
PHYSICS
A rectangular box is completely filled w...

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

Text Solution

Verified by Experts

At point `A, P_(A)=0`
At point `B, P_(B)=P_(A)+rhogh=rhogh`
At point `C, P_(C)=P_(B)+rhoaL=rhogh+rhogL`
At point `D, P_(D)=P_(C)-rhogh=rhoaL`
Or alternatively, `P_(D)=P_(A)+rhoaL=rhoaL`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.3|10 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.4|10 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise Exercise 4.1|11 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards the righ. Pressure is i. maximum and ii. minimum at

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

A closed cubical box is completely filled with water and is accelerated horizontally towards right with an acceleration a. The resultant normal force by the water on the top of the box.

A small solid ball of density rho is held inside at point A of a cubical container of side L, filled with an ideal liquid of density 4rho as shown in the figure. Now, if the container starts moving with constant acceleration a horizontally and the ball is released from point A simultaneously, then choose from following the correct option(s)

A closed rectangular vessel completely filled with a liquid of density rho moves with an acceleration a =g. The value of the pressrure difference at point A and B i.e., (P_1 -P_2) is :

A vessel filled with water is moving horizontally with constant acceleration w . What shape will the surface of the liquid have?

A sealed tank containing a liquid of density rho moves with a horizontal acceleration a, as shown in the figure. The difference in pressure between the points A and B is

A ball of density ais released from rest from the centre of an accelerating sealed cubical vessel completely filled with a liquid of density rho . If the trough moves with a horizontal acceleration veca_(0) find the initial acceleration of the ball.

A cubical contaienr of side length L is filled completely with water. The container is closed. It is acclerated horizontally with acceleration a. Density of water is rho . (a) Assuming pressure at point 1 (upper right corner) to be zero, find pressure at point 2 (upper left corner). (b) Pressure at point 4, at a distance h vertically below point 2 , is same as pressure at lower right corner 3. find h.

Knowledge Check

  • A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards the righ. Pressure is i. maximum and ii. minimum at

    A
    i. B ii D
    B
    i C ii D
    C
    i B ii C
    D
    i B ii A

  • A closed cubical box is completely filled with water and is accelerated horizontally towards right with an acceleration a. The resultant normal force by the water on the top of the box.

    A
    passes through the centre of top
    B
    passes through a point to the righ of the centre
    C
    passes through a point to the left of the centre
    D
    becomes zero

  • A small solid ball of density rho is held inside at point A of a cubical container of side L, filled with an ideal liquid of density 4rho as shown in the figure. Now, if the container starts moving with constant acceleration a horizontally and the ball is released from point A simultaneously, then choose from following the correct option(s)

    A
    For ball to hit the top of container at end `Q, a=3g`
    B
    For ball to hit the top of container at end `Q, a=2g`
    C
    Ball hits the top of container at end Q after a time `t=sqrt(L/(3g))`
    D
    Ball hits the top of container at end Q after a time `t=sqrt((2L)/(3g))`