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Levart [38]
3 years ago
15

The circular stream of water from a faucet is observed to taper from a diameter of 20 mm to 10 mm in a distance of 50 cm. Determ

ine the flowrate.
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Solution:

From Bernoulli equation

\frac{1}{2}ρV_{1}^{2} + ρgh = \frac{1}{2}ρV_{2}^{2} , where ρ is density of water, h – height difference and V_{1} and V_{2}  are the velocities in upper and lower cross sections correspondingly. We take into account that the pressure in both cross-sections is the same and equal to the atmospheric one.

From the continuity and assuming water incompressible:

\pi r_{1}^{2}V_{1} = \pi r_{2}^{2}V_{2} , where A_{1} and A_{2} are the corresponding cross-sections. As the lower diameter is twice as low as the upper one, we can conclude that V_{1} = \frac{V_{2}}{4}

Inserting it back into Bernoulli equations produces:

V_{1} = \sqrt{\frac{2}{15}gh} = 0.26m/s and the flow rate is

\pi r_{1}^{2}V_{1} = \pi r_{2}^{2}V_{2} = 8.10^{-5} \frac{m^{3} }{s}

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3 years ago
Use Inverse Operations to solve.Check Your Answer<br><br> 17 + k = 54
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The amount after 2 years is $2,295.

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Therefore we can conclude that the amount after 2 years is $2,295.

Learn more: brainly.com/question/18051939

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A rectangle has a length of 6.5m and a width of 7.3m what is the area and the perimeter
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Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>:</u></em></h3>

Length of the rectangle = 6.5 m

Width of the rectangule = 7.3 m

<h3><em><u>Then</u></em><em><u>:</u></em></h3>

<u>First</u><u> </u><u>case</u><u>,</u>

Area of the rectangle

= length × width

= 6.5 m × 7.3 m

= <em><u>47.45</u></em><em><u> </u></em><em><u>s</u></em><em><u>q</u></em><em><u>.</u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>i</u></em><em><u>)</u></em>

<u>Second</u><u> </u><u>case</u><u>,</u>

Perimeter of the rectangle

= 2(length + width)

= 2(6.5 + 7.3)m

= 2 × 13.8 m

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2 years ago
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