A jet of water squirts out horizontally from a hole near the bottom of the tank, as seen in the figure.
If the hole has a diameter of 3.13 mm, what is the height, h, of the water level in the tank? Assume that x = 1.33 m and y = 1.72 m.

A jet of water squirts out horizontally from a hole near the bottom of the tank as seen in the figure If the hole has a diameter of 313 mm what is the height h class=

Respuesta :

The height of the water level in the water tank is 0.011 m.

What is the time taken by a fluid particle to reach the ground?

  • From Newtown's equation of motion, y=U×t+(1/2)gt²
  • As, initial velocity (U) is zero, t= 2y/g

t = (2× 1.72)/9.8 = 0.35 s

What's the velocity along x direction?

Velocity along x direction= x × t

= 1.33 × 0.35

= 0.46 m/s

What's the height of water level in the tank?

As per Bernoulli's theorem, 1/2 × ρ × v² = ρ × g× h

=> h = v²/2g = 0.46²/(2×9.8)

= 0.011 m

Thus, we can conclude that the height of water level is 0.011m.

Learn more about the Bernoulli's theorem here:

brainly.com/question/18724307

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