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A nozzle with a radius of 0.21 cm is attached to a garden hose with a radius of 0.95 cm that is pointed straight up. The flow rate through hose and nozzle is 0.45 L/s. Randomized Variables r, = 0.21 cm r= 0.95 cm O=0.45 L/S 50% Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m. Grade Summary h2= Deductions 0% Potential 100% sin() cos t an() ( 7 8 9 HOME Submissions cotan asin() acos M ^ Attempts remaining: 7 4 5 6 (3% per attempt) atan acotan sinh( * 1 2 3 = detailed view cosh tanh cotanh + - 0 END Degrees O Radians NO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 4 Feedback: 0% deduction per feedback. 50% Part (b) Calculate the maximum height (in cm) to which water could be squirted with the hose if it emerges with the nozzle removed, assuming the same flow rate.

Sagot :

The greatest height that the water can depart through the two points using fluid mechanics expressions is as follows:

1) y = 0.20 m is the maximum height that the water can exit the hose at.

2) The water shoots out of the nozzle at a maximum height of 68.6 meters.

When the water exits the hose, the pressure is atmospheric, and it is the same when it reaches its greatest point. P1 = P2

12 v12 + g y1 = 12 v22 + g v2

At the highest point of  trajectory the velocity must be =zero.

 y₂- y₁ = [tex]v^{2} /2g[/tex]

Let's calculate

  Δy = 0.2 m.

Using Bernoulli's equation,  the speed of the water is the highest point=0.

 Δy = 68.6m

What law contains the Bernoulli equation?

The law of energy conservation is the foundation of Bernoulli's principle, to the fullest extent possible. At various sites when liquid is flowing under a constant pressure differential, the whole energy of the liquid—including pressure energy, potential energy, and kinetic energy—is equalized.

To know more about Bernoulli equation  visit;-

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