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VARVARA [1.3K]
2 years ago
8

Consider the same piping system. this time, the same pipe is buried underground. assuming that there is a constant heat flux of

100w/m^2 from the outer surfance of the pipe to the soil determine the exit temperature of the water.
a. 129.1
b. 111.1
c. 82.1
d. 68.1
Engineering
1 answer:
charle [14.2K]2 years ago
7 0

Complete Question

Complete Question is attached below

Answer:

Option A

Explanation:

From the question we are told that:

inner Diameter of pipe d_i=100^c

Thickness t=50mm

Outer diameter of pipe d_o=1.1m

Length l=5m

Temperature T_i=130^oC

Generally the equation for Heat Balance is mathematically given by

q*\pi d_oL=mC_p(T_i-T_o)

Therefore

T_o=T_i+\frac{q*\pi d_oL}{mC_p}

T_o=130+\frac{100*3.142 *1.1*5}{0.5*4000}

T_o=129.136^oC

Therefore the exit temperature of the water.is T_o=129.136^oC

Option A

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Answer:

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Explanation:

The maximum shear stress, \tau_{max}, is given by the following formula;

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t_w = 1 cm = 0.01

h = 29 cm = 0.29 m

h_w = 25 cm = 0.25 m

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I_c = \dfrac{1}{12} \cdot \left (b \cdot h^3 - b \cdot h_w^3 + t_w \cdot h_w^3 \right )

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Substituting the known values gives;

I_c = \dfrac{1}{12} \cdot \left (0.15 \times 0.29^3 - 0.15 \times 0.25^3 + 0.01 \times 0.25^3 \right )  = 1.2257083\bar 3 \times 10^{-4}

I_c = 1.2257083\bar 3 × 10⁻⁴ m⁴

From which we have;

4,500,000 = \dfrac{W}{8 \times 1.225708\bar 3 \times 10 ^{-4}\times 0.01} \times \left (0.15 \times 0.29^2 - 0.15 \times 0.25^2 + 0.01 \times 0.25^2 \right )

Which gives;

W = 11,416.6879 N

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\sigma _{b.max} = 1500 N/cm² = 15,000,000 N/m²

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M_{max} = \dfrac{W \cdot L}{4}

L = \dfrac{4 \cdot M_{max}}{W} = \dfrac{4 \times 1838.5625}{11,416.6879} \approx 0.64417

L ≈ 0.64417 m ≈ 64.417 cm.

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2 years ago
A gas has an initial volume o.25m^3, and absolute pressure 100kPa. Its initial temperature is 290k. The gas is compressed into a
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Answer:

<h2>698.3Kpa</h2>

Explanation:

Step one:

given data

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Step two:

The combined gas equation is given as

P1V1/T1=P2V2/T2

Substituting we have

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25/290=0.5P2/405

0.086=0.05P2/405

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0.086*405=0.05P2

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Read more about Mechanical Advantage at; brainly.com/question/18345299

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2 years ago
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