Question

a 10 meter high tank is full of water. a hole appears at its middle. what is speed of efflux????​

Answer 1

VELOCITY OF EFFLUX IS 10 m/s.

Given:

• A water tank is filled upto the brim of height 10 metres.

• Hole is made at middle height

To find:

Velocity of efflux ?

Calculation:

• The hole is made at the middle between the top and bottom of container.

So, length of water column above the whole will be :

$h = \dfrac{10}{2} = 5 \: m$

Now, according to TORICELLI'S FORMULA:

• Let velocity of efflux be v

$v = \sqrt{2gh}$

$\implies \: v = \sqrt{2 \times 10 \times 5}$

$\implies \: v = \sqrt{100}$

$\implies \: v = 10 \: m {s}^{ - 1}$

So, velocity of efflux is 10 m/s.

Answer 2

The  velocity  of efflux is 9.89 meter/sec.

Explanation:

Given:

10 meter  high tank and it is full with water.

At middle of tank a hole appears.

To Find:

The  speed  of efflux.

Formula Used:

$V=\sqrt{2g(y-z)}$        --------------------- formula no.01.

Where,

V=velocity of the efflux of the water

g=acceleration due to gravity=9.8 m/s²

y=total height of the container.

z=height at which the hole appear.

Solution:

As given-10 meter  high tank and it is full with water.

y=10 meter

As given-at middle of tank a hole appears.

$z=\frac{y}{z}$

 $=\frac{10}{2} =5\ meter$

Applying formula mo.01.  

$V=\sqrt{2g(y-z)}$

   $=\sqrt{2\times 9.8\times(10-5)}$

   $=\sqrt{2\times 9.8\times 5}$

  $=\sqrt{98}$

  $= 9.89\ meter/sec$

Thus,the  velocity  of efflux is 9.89 meter/sec.

PROJECT CODE#SPJ3