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Find Transfer Function Of A System ? Assume The Electromotive Force Constant K1 and K2 Applied Force Constant.

Sati [7]

Transfer Function Of A System is explained in the following way

Explanation:

1.To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s)

2.The Transfer function of a system is the relationship of the system's output to its input, represented in the complex Laplace domain.

3.A transfer function is a convenient way to represent a linear, time-invariant system in terms of its input-output relationship. ... The key advantage of transfer functions is that they allow engineers to use simple algebraic equations instead of complex differential equations for analyzing and designing systems.

4.The properties of transfer function are given below: The ratio of Laplace transform of output to Laplace transform of input assuming all initial conditions to be zero. ... The transfer function of a system does not depend on the inputs to the system. The system poles and zeros can be determined from its transfer function.

3 0

3 years ago

4. A person is standing 4 miles east from his house. He travels 2 miles east. a. Calculate the initial displacement. b. Calculat

Pani-rosa [81]

Answer:

4) a) $s = +4\,mi$ , b) $\Delta s = 2\,mi$ , 5) a) $s = -2\,mi$ , b) $\Delta s = 10\,mi$

Explanation:

4) Let assume that distance with respect to origin is positive at east, while distance is negative at west.

a) The initial displacement is:

$s = +4\,mi$

b) The distance travelled is:

$\Delta s = 2\,mi$

5) a) The final displacement is:

$s = -2\,mi$

b) The total distance travelled is:

$\Delta s = 2\,mi + 6\,mi + 2\,mi$

$\Delta s = 10\,mi$

5 0

4 years ago

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 of the following results from the fact that skip signals refracted from the ionosphere are elliptically polarized?

zhenek [66]

Answer:

B

Explanation:

The fact that skip signals refracted from the ionosphere are elliptically polarized is a result of either vertically or horizontally polarized antennas may be used for transmission or reception.

8 0

3 years ago

What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 5

viva [34]

The approximate average power output is mathematically given as

P=1097.6w

<h3>What is the approximate average power output?</h3>

Question Parameters:

Iowa with a 10 m2 swept area and 50 m hub height

Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2

Generally, the equation for the average output power is mathematically given as

$P=0.5 \phi BAu^3*n\\$

Where

B= Benz coefficient

n=0.8

Therefore

P=0.5*1*0.8*10*7^3*0.8

P=1097.6w

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Complete Question

What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 50 m hub height? Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2

7 0

2 years ago