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The transfer function of a typical tape-drive system is given by

maw [93]

Answer:

the range of K can be said to be : -3.59 < K< 0.35

Explanation:

The transfer function of a typical tape-drive system is given by;

$KG(s) = \dfrac{K(s+4)}{s[s+0.5)(s+1)(s^2+0.4s+4)]}$

calculating the characteristics equation; we have:

1 + KG(s) = 0

$1+ \dfrac{K(s+4)}{s[s+0.5)(s+1)(s^2+0.4s+4)]} = 0$

${s[s+0.5)(s+1)(s^2+0.4s+4)]} +{K(s+4)}= 0$

$s^5 + 1.9 s^4+ 5.1s^3+6.2s^2+ 2s+K(s+4) = 0$

$s^5 + 1.9 s^4+ 5.1s^3+6.2s^2+ (2+K)s+ 4K = 0$

We can compute a Simulation Table for the Routh–Hurwitz stability criterion Table as follows:

$S^5$ 1 5.1 2+ K

$S^4$ 1.9 6.2 4K

$S^3$ 1.83 $\dfrac{1.9 (2+K)-4K}{1.9}$ 0

$S^2$ $\dfrac{11.34-1.9(X)}{1.83}$ 4K 0

S $\dfrac{XY-7.32 \ K}{Y}$ 0 0

$\dfrac{1.9 (2+K)-4K}{1.9} = X$

$\dfrac{11.34-1.9(X)}{1.83}= Y$

We need to understand that in a given stable system; all the elements in the first column is usually greater than zero

So;

11.34 - 1.9(X) > 0

$11.34 - 1.9(\dfrac{3.8+1.9K-4K}{1.9}) > 0$

$11.34 - (3.8 - 2.1K)>0$

7.54 +2.1 K > 0

2.1 K > - 7.54

K > - 7.54/2.1

K > - 3.59

Also

4K >0

K > 0/4

K > 0

Similarly;

XY - 7.32 K > 0

$(\dfrac{3.8+1.9K-4K}{1.9})[11.34 - 1.9(\dfrac{3.8+1.9K-4K}{1.83}) > 7.32 \ K]$

0.54(2.1K+7.54)>7.32 K

11.45 K < 4.07

K < 4.07/11.45

K < 0.35

Thus the range of K can be said to be : -3.59 < K< 0.35

4 0

3 years ago

Which step in the engineering design process most likely broke down in the following scenario?

yawa3891 [41]

The Tacoma narrows project required a bridge to be buiilt over the columbia river.

4 0

3 years ago

The substance called olivine may have any composition between Mg2SiO4 and Fe2SiO4, i.e. the Mg atoms can be replaced by Fe atoms

Ipatiy [6.2K]

Answer:

The answer is "0.147 nm and 99.63 mol %"

Explanation:

In point (a):

$\to nk1 = 062$

$\to \text{Bragg angle}$ $\theta =37.21^{\circ}$

$\to \text{diffraction angle}$ $2 \theta = 74.42^{\circ}$

$\to \lambda = 0.1790 nm$

find:

d(062)=?

formula:

$\to nx = 2d \sin \theta$

$\to d(062) = \frac{1 \times 0.1790^{\circ}}{2 \times \sin 37.21^{\circ}}\\$

$= \frac{0.1790^{\circ}}{2 \times 0.604738126}\\\\= \frac{0.29599589}{2}\\\\= 0.147 \\$

In point (b):

$\to Mg_2SiO_4\longleftrightarrow Fe_2SiO_4$

$d= 0.14774 \ \ \ \ \ olivine = 0.147 \ \ \ \ \ 0.15153$

formula:

$\to d=\frac{a}{\sqrt{n^2+k^2+i^2}}\\$

that's why the composition value equal to 99.63 %

3 0

3 years ago

What steps would you take to design an improved toothpaste container?

algol [13]

Answer:

A. Identify the need, recognize limitations of current toothpaste containers, and then brainstorm ideas on how to improve the existing

Explanation:

To design an improved toothpaste container, we must identify the needs of the customer, one of the major need is to make the container attractive to the sight. This is the first thing that will prompt a customer to wanting to buy the product (The reflectance/appearance).

Then recognize the limitation of the current design, what needed change. This will help in determining what is needed to be included and what should be removed based on identified customers need.

The last step is to brainstorm ideas on how to improve the existing designs. Get ideas from other colleagues because there is a saying that two heads are better than one. This will help in coming to a reasonable conclusion on the new design after taking careful consideration of people's opinion.

7 0

3 years ago

How many grams is one molecule of calcium oxide?

MakcuM [25]

Answer:

Molar mass -56.0774 g/mol

There is a way to calculate this

atomic number for calcium is 20

atomic number for oxygen is 8

The molar mass for calcium is 40

The molar mass for oxygen is 16

CALCIUM OXIDE

40. +. 16

=56g/mol

1 molecule = 1×56=56g/mol

2 molecules=2×56 =112g/mol

5 0

2 years ago