Question

A water tank contains 1.3 m deep water. The pressure exerted by water per metre length of tank is

Answer 1

The pressure exerted per unit length = wh^2/2

∵ The pressure of water per meter length = (9.81 × 10^3 ×1.3^2)÷2

=8.29 KN

Answer 2

The pressure exerted by water per metre length of tank is 8.29 KN.

Explanation:

From the given question,

We have a water tank which has a depth of about 130 cm or 1.3 m.

So the weight of water shall be putting certain pressure in the water tank or lengthwise the water tank base and the corner shall be experiencing a certain amount of pressure exerted by water.

This pressure can be found out using the formula that has Product of specific weight (w) and height or depth of liquid squarred (h) and the product should be Halved.

Formula of pressure exerted by water is, =  $\frac{w \times h^2}{2}$

Putting the values in the the formula we get

                                                      = $\frac{9.81 \times 10^3 \times 1.3^2}{2}$

                                                      = $\frac{16578.9}{2}$

                                                      = 8289.45 N

                                                     = 8.29 KN

To know more:

Water is filled in a rectangular tank of size 3 m x 2 m x 1 m. (a) Find the total force exerted by the water on the bottom surface of the tank. (b) Consider a vertical side of area 2 m x 1 m. Take a horizontal strip of width ẟx meter in this side, situated at a depth of x meter from the surface of the water. Find the force by the water on this strip. (c) Find the torque of the force calculated in part (b) about the bottom of edge of this side. (d) Find the total force by the water on this side. (e) Find the total torque by the water on the side about the bottom edge. Neglect the atmospheric pressure and take g = 10 m/s².

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