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andrew-mc [135]
3 years ago
12

The mechanical properties of some metals may be improved by incorporating fine particles of their oxides. If the moduli of elast

icity of a hypothetical metal and its oxide are, respectively, 55 GPa and 430 GPa, what is the upper-bound modulus of elasticity value for a composite that has a composition of 31 vol% of oxide particles

Engineering
1 answer:
mezya [45]3 years ago
3 0

Answer:

171.2 GPa

Explanation:

I explained every step in the attached file, please kindly go through it.

But the answer is 171.2 GPa

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To convert a whole number to a fraction the number can be written over a denominator of
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When you convert a whole number into a fraction, you put the whole number as the numerator and the denominator as 1.

Such as 12=12/1 or 5=5/1
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What is the volicity of a rocket?
Marysya12 [62]

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7.9 kilometers per second

Explanation:

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The task of framing a building has been estimated to take anaverage of 25 days with astandard deviation of 4 days. What duration
Nimfa-mama [501]

Answer:

30.128 days

Explanation:

Given that:

Mean = 25

Standard deviation = 4

Confidence interval = 90% = 0.9

Since the confidence interval should not exceed 90%

Then using z test table

P(z) = 0.9

For 0.8997 , we get = 1.28

For 0.9015, we get = 1.29

∴

\dfrac{0.9 - 0.8897}{0.9015 - 0.8997 }=\dfrac{ z - 1.28}{1.29 -1.28}

By solving

Z = 1.282

Thus, the duration to be used so that it will not exceed 90% C.I is:

Z = (x - μ)/σ

1.282= ( x - 25)/4

1.282 * 4 = x - 25

(1.282*4)+25 = x

x = 30.128 days

5 0
3 years ago
Write the heat equation for each of the following cases:
jok3333 [9.3K]

Answer:

Explanation:

a) the steady-state, 1-D incompressible and no energy generation equation can be expressed as follows:

\dfrac{\partial^2T}{\partial x^2}=  \ 0  \  ;  \ if \  T = f(x)  \\ \\ \dfrac{\partial^2T}{\partial y^2}=  \ 0  \  ;  \ if \  T = f(y)  \\ \\ \dfrac{\partial^2T}{\partial z^2}=  \ 0  \  ;  \ if \  T = f(z)

b) For a transient, 1-D, constant with energy generation

suppose T = f(x)

Then; the equation can be expressed as:

\dfrac{\partial^2T}{\partial x^2} + \dfrac{Q_g}{k} = \dfrac{1}{\alpha} \dfrac{dT}{dC}

where;

Q_g = heat generated per unit volume

\alpha = Thermal diffusivity

c) The heat equation for a cylinder steady-state with 2-D constant and no compressible energy generation is:

\dfrac{1}{r}\times \dfrac{\partial}{\partial r }( r* \dfrac{\partial \ T }{\partial \ r}) + \dfrac{\partial^2 T}{\partial z^2 }= 0

where;

The radial directional term = \dfrac{1}{r}\times \dfrac{\partial}{\partial r }( r* \dfrac{\partial \ T }{\partial \ r}) and the axial directional term is \dfrac{\partial^2 T}{\partial z^2 }

d) The heat equation for a wire going through a furnace is:

\dfrac{\partial ^2 T}{\partial z^2} = \dfrac{1}{\alpha}\Big [\dfrac{\partial ^2 T}{\partial ^2 t}+ V_z \dfrac{\partial ^2T}{\partial ^2z} \Big ]

since;

the steady-state is zero, Then:

\dfrac{\partial ^2 T}{\partial z^2} = \dfrac{1}{\alpha}\Big [ V_z \dfrac{\partial ^2T}{\partial ^2z} \Big ]'

e) The heat equation for a sphere that is transient, 1-D, and incompressible with energy generation is:

\dfrac{1}{r} \times \dfrac{\partial}{\partial r} \Big ( r^2 \times \dfrac{\partial T}{\partial r} \Big ) + \dfrac{Q_q}{K} = \dfrac{1}{\alpha}\times \dfrac{\partial T}{\partial t}

4 0
3 years ago
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