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nexus9112 [7]
3 years ago
6

Describe the cartesain coordinate system.

Engineering
1 answer:
olga nikolaevna [1]3 years ago
5 0

Answer:

Cartesian coordinate system is used to specify any point on a plane.

In two dimensional plane,the two types of axes or coordinates are x and y axis.

Explanation:

Cartesian coordinate system specifies each point and every point on axes.

A Cartesian Coordinate system in two dimension also named as rectangular coordinate system.

The two types of axes or coordinates are x and y axis.

The horizontal axis is x-axis and vertical axis is named as y-axis.

The coordinate system specifies each point as a set of numerical coordinates in a plane which are signed from negative to positive. that is from  (-\infty,\infty).

In three dimensional plane, x, y and z coordinates are used and in two dimensional plane, x and ycoordinates are used to address any point in the interval (-\infty,\infty).

For defining both the coordinates, the two perpendicular directed lines x- axis and x-axis are drawn.

Now, for example (3,4) is a point in which indicates that the value of x is 3 and y is 4.

It is drawn by moving 3 units right from the origin to positive x axis and 4 units upwards from the origin (0,0) to positive y-axis.

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For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of t
saveliy_v [14]

Complete Question

For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 411 MPa (59610 psi) is applied if the original length is 470 mm (18.50 in.)?Assume a value of 0.22 for the strain-hardening exponent, n.

Answer:

The elongation is =21.29mm

Explanation:

In order to gain a good understanding of this solution let define some terms

True Stress

       A true stress can be defined as the quotient obtained when instantaneous applied load is divided by instantaneous cross-sectional area of a material it can be denoted as \sigma_T.

True Strain

     A true strain can be defined as the value obtained when the natural logarithm quotient of instantaneous gauge length divided by original gauge length of a material is being bend out of shape by a uni-axial force. it can be denoted as \epsilon_T.

The mathematical relation between stress to strain on the plastic region of deformation is

              \sigma _T =K\epsilon^n_T

Where K is a constant

          n is known as the strain hardening exponent

           This constant K can be obtained as follows

                        K = \frac{\sigma_T}{(\epsilon_T)^n}

No substituting  345MPa \ for  \ \sigma_T, \ 0.02 \ for \ \epsilon_T , \ and  \ 0.22 \ for  \ n from the question we have

                     K = \frac{345}{(0.02)^{0.22}}

                          = 815.82MPa

Making \epsilon_T the subject from the equation above

              \epsilon_T = (\frac{\sigma_T}{K} )^{\frac{1}{n} }

Substituting \ 411MPa \ for \ \sigma_T \ 815.82MPa \ for \ K  \ and  \  0.22 \ for \ n

       \epsilon_T = (\frac{411MPa}{815.82MPa} )^{\frac{1}{0.22} }

            =0.0443

       

From the definition we mentioned instantaneous length and this can be  obtained mathematically as follows

           l_i = l_o e^{\epsilon_T}

Where

       l_i is the instantaneous length

      l_o is the original length

Substituting  \ 470mm \ for \ l_o \ and \ 0.0443 \ for  \ \epsilon_T

             l_i = 470 * e^{0.0443}

                =491.28mm

We can also obtain the elongated length mathematically as follows

            Elongated \ Length =l_i - l_o

Substituting \ 470mm \ for l_o and \ 491.28 \ for \ l_i

          Elongated \ Length = 491.28 - 470

                                       =21.29mm

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3 years ago
List the four processes in the Otto cycle.
OleMash [197]

Answer:

Explanation:

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A reversible power cycle R and an irreversible power cycle I operate between the same hot and cold thermal reservoirs. Cycle I h
anygoal [31]

Answer: Attached below is the missing diagram

answer :

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B)   1) QH' > QH,   2) Qc' > Qc

Explanation:

  л = w / QH = 1 - Qc / QH  and  QH = w + Qc

<u>A) each cycle receives same amount of energy by heat transfer</u>

<u>(</u> Given that ; Л1 = 1/3 ЛR )

<em>1) develops greater bet work </em>

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<em>2) discharges greater energy by heat transfer</em>

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solution attached below

<u>B) If Each cycle develops the same net work </u>

<em>1) Receives greater net energy by heat transfer from hot reservoir</em>

QH' > QH   ( solution is attached below )

<em>2) discharges greater energy  by heat transfer to the cold reservoir</em>

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solution attached below

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Answer:

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Explanation:

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