Question

One end of a two dimensional water tank has the shape of a quadrant of a circle of radius 2m. When the tank is full, the vertical component of the force per unit length on the curved surface will be

Answer 1

Answer:

the force per unit length on the curved surface will be $1000\pi$ kgF.

Explanation:

Let the length is L

so the total volume of the liquid contained in it is given as

$V = \frac{\pi r^2}{4} L$

$V = \frac{\pi (2^2)}{4} L$

$V = \pi L$

now the weight of the liquid contained in it

$W = \rho V$

$W = (1000)(\pi L) kgf$

so vertical force by the curved surface will balance the weight of the liquid

so we have

$F = 1000\pi L$

now force per unit length is given as

$\frac{F]{L} = 1000\pi kg f$

#Learn

Topic : Fluids

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