Example 12: Write an algorithm and draw a flowchart to calculate
the factorial of a number(N). Verify your result by a trace table by
assuming N = 5.
Hint: The factorial of N is the product of numbers from 1 to N)​

Answer:

a)  [tex]Tb=1845.05K[/tex]

b)  [tex]Q=1000.25KJ[/tex]

c)  [tex]\mu=0.59[/tex]

Explanation:

From the question we are told that:

Temperature x [tex]Tx=450c=>723K[/tex]

Pressure x [tex]Px=2.5MPa[/tex]

Temperature y [tex]Ty=600c=>873K[/tex]

Pressure y [tex]Py=0.45MPa[/tex]

Let

Air atmospheric temperature be [tex]25c[/tex]

Therefore

Temperature [tex]Ta=25+273=298k[/tex]

Generally the equation for Otto cycle is mathematically given by

 [tex]\frac{Tb}{Tx}=\frac{Ty}{Ta}[/tex]

 [tex]Tb=\frac{873*723}{298}[/tex]

 [tex]Tb=2118.05[/tex]

Therefore the peak cycle temperature (°C)

 [tex]Tb=2118.05k[/tex]

 [tex]Tb=2118.05-273[/tex]

 [tex]Tb=1845.05K[/tex]

Generally the equation for Heat addition is mathematically given by

 [tex]Q=Cv(Tb-Tx)[/tex]

 [tex]Q=Cv(2118.05-723)[/tex]

 [tex]Q=1000.25KJ[/tex]

Generally the equation for Thermal  efficiency is mathematically given by

 [tex]\mu=1-\frac{Ta}{Tx}[/tex]

 [tex]\mu=1-\frac{298}{723}[/tex]

 [tex]\mu=0.59[/tex]

Complete Question

Air at 40C flows over a 2 m long flat plate with a free stream velocity of 7m/s. Assume the width of the plate (into the paper) is 0.5 m. If the plate is at a co temperature of 100C,find:

The total heat transfer rate from the plate to the air

Answer:

[tex]q=1.7845[/tex]

Explanation:

From the question we are told that:

Air Temperature [tex]T_1=40c[/tex]

Length [tex]l=2m[/tex]

Velocity [tex]v=7m/s[/tex]

Width [tex]w=0.5[/tex]

Constant temperature [tex]T_t= 100C[/tex]

Generally the equation for Total heat Transfer is mathematically given by

 [tex]q=hA(T_s-T_\infty)[/tex]

Where

h=Convective heat transfer coefficient

 [tex]h=29.9075w/m^2k[/tex]

Therefore

 [tex]q=h(L*B)(T_s-T_\infty)[/tex]

 [tex]q=29.9075*(2*0.5)(100+273-(40+273))[/tex]

 [tex]q=1794.45w[/tex]

 [tex]q=1.7845[/tex]

Answer:

National Electrical Code

Explanation:

The National Electrical Code (NEC) is the foundational code that establishes the minimum requirements for electrical installation work. The NEC protects individuals and properties from being discriminated against dangers associated with the use of electricity. For electrical installation work, local and state electrical standards and codes should be consulted in addition to the NEC.

Section 406.4 of the NEC refers to On the same premises, receptacles linked to circuits with distinct voltages frequencies, or kinds of current (AC or DE) must be designed in such a way that the attachment plugs utilized on these circuits cannot be interchanged.

Answer:

[tex]\mu_{max}=200Mpa[/tex]

Explanation:

From the question we are told that:

Internally pressurized [tex]P_i=100MPa[/tex]

Tangential Stress [tex]P_t=400mpa[/tex]

Axial stress [tex]P_a=200mpa[/tex]

Generally the equation for maximum normal and shear stresses are experienced by the outer surface is mathematically given by

 [tex]\mu_{max}=|\frac{P_t-P_a}{2}|,|\frac{P_t}{2}|,|\frac{P_t}{2}|[/tex]

Therefore

 [tex]\mu_{max}=|\frac{400-200}{2}|,|\frac{400}{2}|,|\frac{200}{2}|[/tex]

 [tex]\mu_{max}=200Mpa[/tex]

Answer:

Resistance of the lamp (r) = 156.52 ohm (Approx.)

Explanation:

Given:

Total power p = 140 W

Resistance of the coffee maker = 300 Ohm

Voltage v = 120 V

Find:

Resistance of the lamp (r)

Computation:

We know that

p = v² / R

SO,

Total power p = [Voltage²/Resistance of the lamp (r)] + [Voltage²/Resistance of the coffee maker]

140 = [120² / r] + [120²/300]

140 = 120²[1/r + 1/300]

140 = 14,400 [1/r + 1/300]

Resistance of the lamp (r) = 156.52 ohm (Approx.)

Answer:

the factor of safety was used in the design of the cable is 2.6146

Explanation:

Given the data in the question;

Load on the main capable [tex]P_{initial[/tex] = 2600000 lb

number of parallel wires n = 1470

Diameter d = 0.16 in

average ultimate strength [tex]S_{ultimate[/tex] = 230000 psi

First we calculate the Load acting on each cable;

[tex]P_{initial[/tex] = P × n

P = [tex]P_{initial[/tex] / n

we substitute

P = 2600000 lb / 1470

P = 1768.70748 lb

Next we determine the working stress acting in a member;

[tex]S_{working[/tex] = P/A

{ Area A = [tex]\frac{\pi }{4}[/tex]d² }

[tex]S_{working[/tex] = P / [tex]\frac{\pi }{4}[/tex]d²

we substitute

[tex]S_{working[/tex] = 1768.70748 / [tex]\frac{\pi }{4}[/tex](0.16)²

[tex]S_{working[/tex] = 1768.70748 / 0.02010619298

[tex]S_{working[/tex] = 87968.29 psi

Now we calculate the factor of safety F.S

F.S = [tex]S_{ultimate[/tex] / [tex]S_{working[/tex]

we substitute

F.S = 230000 psi / 87968.29 psi

F.S = 2.6145785 ≈ 2.6146

Therefore, the factor of safety was used in the design of the cable is 2.6146

Answer: Hello your question is incomplete attached below is the complete question

answer : V(out) (t) = 1 - e^-100t

Explanation:

The equation of the output voltage as a function of time assuming at t = 0 switch closes and capacitor will be discharged when t < 0

V(out) (t) = 1 - e^-100t

attached below is the step by step explanation  

Answer:

Explanation:

The missing diagram attached to the question is shown in the attached file below:

The very first thing we need to do in other to solve this question is to determine the mass of both the tractor and the mass of the gravel

For tractor, the mass is:

[tex]m_1 = \dfrac{2400 \ lb }{32.2 \ ft/s^2}[/tex]

[tex]m_1 = 74.53 \ lb.s^2/ft[/tex]

For gravel, the mass is:

[tex]m_2 = \dfrac{900 \ lb}{32.2 \ft/s^2}[/tex]

[tex]m_2 = 27.95 \ lb.s^2/ft[/tex]

From the diagram, let's consider the force along the horizontal components and vertical components;

So,

[tex]\sum F_x = ma_x \\ \\ 2F = (m_1+m_2) a \\ \\ F = \dfrac{1}{2}(74.53 4 + 27.950)lb.s^2/ft(2 \ ft/s^2) \\ \\ F = 102.484 \ lb[/tex]

[tex]\sum F_y = 0 \\ \\ 2N_A+2N_B - 2400 -900 = 0 \\ \\ N_A +N_B = 1650 \ lb[/tex]

Consider the algebraic sum of moments in the plane of A, with counter-clockwise moments being positive.

[tex]\sum M_A = I_o \alpha + \sum ma (d) \\ \\ = -2400 (20) + 2N_B (60) -900(110) = 0 - (74.534)(2)(20) - (27.950)(2)(40)[/tex]

[tex]=-48000 + 2N_B (60) -99000 = -2981.36-2236 \\ \\ = + 2N_B (60) = -2981.36-2236+48000+99000 \\ \\ = + 2N_B (60) = 141782.64 \\ \\ N_B = \dfrac{141782.64}{120} \\ \\ N_B = 1181.522 \ lb[/tex]

Replacing the value of 1181.522 lb for [tex]N_B[/tex] in equation (1)

[tex]N_A[/tex] + 1181.522 lb = 1650 lb

[tex]N_A[/tex] = (1650 - 1181.522)lb

[tex]N_A[/tex] = 468.478 lb

The net reaction on each of the rear wheels now is:)

[tex]F_R = \sqrt{N_A^2 +F^2}[/tex]

[tex]F_R = \sqrt{(468.478)^2 + (102.484)^2}[/tex]

[tex]\mathbf{F_R =479.6 \ lb}[/tex]

Now, we can determine the angle at the end of the rear wheels at which the resultant reaction force is being made in line with the horizontal

[tex]\theta = tan ^{-1}( \dfrac{468.478 }{102.484})[/tex]

[tex]\theta = 77.7^0[/tex]

Finally, the net reaction on each of the front wheels is:

[tex]F_B = N_B[/tex]

[tex]F_B =[/tex] 1182 lb  

Answer:

Yes

Explanation:

Answer:

true

Explanation:

hehehe

Answer:

35.92 kpsi

Explanation:

Given data:

diameter of the steel bar d = 0.875 in

Area A = πd^2/4 = π(0.875)^2/4

length L = 15.0 ft

Load P = 21.6 kip

Modulus of elesticity E = 29×10^6 Psi

Assume we are asked to determine axial stress in the bar which is given as

[tex]\sigma = Load, P/ Area, A[/tex]

[tex]\sigma = 4P/\pi d^2[/tex]

substitute the value

[tex]\sigma = \frac{4\times 21.6}{\pi \times (0.875)^2} \\=35.92\ kpsi[/tex]

Answer:

Se obtendrán 116.66 litros de jugo concentrado, y el agua evaporada será por un total de 883.33 litros.

Explanation:

Dado que para conseguir jugo de naranja concentrada, se parte de un extracto con 7% en peso de sólidos el cual se mete a un evaporador al vacío, y en el evaporador se elimina el agua necesaria para que el jugo salga con una concentración del 60% de peso de sólidos, si se introducen al proceso 1000 kg/h de jugo diluido, para calcular la cantidad de agua evaporada y de jugo concentrado saliente se debe realizar el siguiente cálculo;

1000 x 0.07 = 70

60 = 70

100 = X

100 x 70 / 60 = X

7000 / 60 = X

116.66 = X

Por lo tanto, se obtendrán 116.66 litros de jugo concentrado, y el agua evaporada será por un total de 883.33 litros.

Answer:

1700 W

Explanation:

The heat transfer rate P = kA(T - T')/d where k = thermal conductivity of wall = 1.7 W/m-K, A = area of wall = 0.5 m × 1.2 m = 0.6 m², T = temperature of inner surface = 1400 K, T = temperature of outer surface = 1150 K and d = thickness of wall = 0.15 m

So, P = kA(T - T')/d

substituting the values of the variables into the equation, we have

P = 1.7 W/m-K × 0.6 m²(1400 K - 1150 K)/0.15 m

P = 1.7 W/m-K × 0.6 m² × 250 K/0.15 m

P = 255 Wm/0.15 m

P = 1700 W

So, the heat transfer rate through the wall is 1700 W

here's your answer..

Answer:

Explanation:

here is your answer:

The responsivity will be 0.45 A / W. Then the quantum efficiency will be 80%.

A Si pin photodiode has an active light-receiving area of a diameter of 0.4 mm.

When radiation of wavelength 700 nm (red light and intensity 0.1 mW cm^-2 is incident it generates a photocurrent of 56.6 nA.

Diameter (d) = 0.4 mm = 0.04 cm

Then the area will be

Area (A) = π / 4 x d²

Area (A) = π / 4 x 0.04²

Area (A) = 1.26 x 10⁻³ square cm

Then the incident power will be

P₀ = intensity of light x area

P₀ = 1.26 x 10⁻³ x 0.1 x 10⁻³

P₀ = 0.126 x 10⁻⁶ μW

Then the responsivity will be

R = photocurrent / power

R = 56.6 x 10⁻⁹ / 0.126 x 10⁻⁶

R = 0.4492

R ≅ 0.45 A / W

Then the quantum efficiency will be

η = Rhc / qλ

h = plank constant

c = speed of light

q = charge of an electron

Then we have

η = 0.45 x 6.62 x 10⁻³⁴ x 3 x 10⁸ / 1.6 x 10⁻¹⁹ x 700 x 10⁻⁹

η = 0.7979

η = 0.8

η = 80%

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Answer:

i don't know

Explanation:

sorry

Answer:

The units on the rate of heat transfer are Joule/second, also known as a Watt.

Explanation:

Heat flow is calculated using the rock thermal conductivity multiplied by the temperature gradient. The standard units are mW/m2 = milli Watts per meter squared. Thus, think of a flat plane 1 meter by 1 meter and how much energy is transferred through that plane is the amount of heat flow.

hope it helps .

The rate of heat transfer is measured in Joules per second, also known as Watts.

Heat transfer is a thermal engineering discipline that deals with the generation, use, conversion, and exchange of thermal energy between physical systems.

Heat transfer mechanisms include thermal conduction, thermal convection, thermal radiation, and energy transfer via phase changes.

The rate of heat transfer through a unit thickness of material per unit area per unit temperature difference is defined as thermal conductivity. Thermal conductivity varies with temperature and is measured experimentally.

Heat is typically transferred in a combination of these three types and occurs at random. Heat transfer rate is measured in Joules per second, also known as Watts.

Thus, Joules per second or watts is the unit of rate of heat transfer.

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Answer:

y = 0.834X - 1.58015

Slope = 0.8340 ; Intercept = - 1.5802

y = 40.9539

19.93

0.9765

Explanation:

X: Rainfall volume

6

12

14

16

23

30

40

52

55

67

72

81

96

112

127

Y : Runoff

4

10

13

14

15

25

27

48

38

46

53

72

82

99

100

The scatterplot shows a reasonable linear trend between the Rainfall volume and run off.

The estimated regression equation obtained using a linear regression calculator is :

y = 0.834X - 1.58015

y = Runoff ; x = Rainfall volume

Slope = 0.8340 ; Intercept = - 1.5802

Point estimate for Runoff, when, x = 51

y = 0.834X - 1.58015

y = 0.834(51) - 1.58015

y = 40.95385

y = 40.9539

d.)

Point estimate for standard deviation :

s = 5.145

σ = s * √n

σ = √15 * 5.145

= 19.93

e.)

r² = Coefficient of determination gives the proportion of explained variance in Runoff due to the regression line. From the model output, the r² value = 0.9765. Which means That about 97.65% Runoff is due to Rainfall volume.

Answer:

Both are correct.

Explanation:

Both the technician A and B are correct. Some relays are equipped with a suppression diode in parallel windings while some relays are equipped with resistors. This is due to different requirements of the electromagnetic objects. Some require resistors to stop the flow of current towards the magnet.

Answer:

False

Explanation:

Flow back to surface

a.No it will be not an easy matter for Peter to prove that the Er staff caused peter to lose his promotion

Here's why?

1)The boss may think he might not able to stretch himself in emergency situations

2)He can think he can't handle normal pressure

b.What precautions can be taken to avoid giving confidential information to medical personnel who have no need to see it?

1)Peter should not let the medical personnel about his personal life

2)He might have not said extra information about his job promotion

3)Will it be easy matter for Peter to prove that the ER staff caused Peter to lose his promotion? Explain your answer

No, it will not be easy, Peter has to prove in one or in another situation that he can face the difficulties and be able to handle anxiety attacks in the future.

Hence above answers are suitable for the given situation

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Answer:

The answer is "shear".

Explanation:

Every transformation could be shown by some kind of conventional matrix.

Its standard matrices of shape k here could be any real value enabling shear transformation to parallel to the y axis.

[tex]\left[\begin{array}{cc}1&0\\k&1\\\end{array}\right][/tex]

This coefficient matrix A is the standard matrix during transformation. With the use of a the transformation could be entered into T(x)=Ax

And standard transfer function is standard.

[tex]\left[\begin{array}{cc}1&0\\6&1\\\end{array}\right][/tex]

The matrix in the form of the shear matrix.

Answer:

the theoretical fracture strength of the brittle material is 5.02 × 10⁶  psi

Explanation:

Given the data in the question;

Length of surface crack α = 0.25 mm

tip radius ρ[tex]_t[/tex] = 1.2 × 10⁻³ mm

applied stress σ₀ = 1200 MPa

the theoretical fracture strength of a brittle material = ?

To determine the the theoretical fracture strength or maximum stress at crack tip, we use the following formula;

σ[tex]_m[/tex] = 2σ₀[tex]([/tex] α / ρ[tex]_t[/tex] [tex])^{\frac{1}{2}[/tex]

where α is the Length of surface crack,

ρ[tex]_t[/tex] is the tip radius,

and σ₀ is the applied stress.

so we substitute

σ[tex]_m[/tex] = (2 × 1200 MPa)[tex]([/tex] 0.25 mm / ( 1.2 × 10⁻³ mm ) [tex])^{\frac{1}{2}[/tex]

σ[tex]_m[/tex] = 2400 MPa × [tex]([/tex] 208.3333 [tex])^{\frac{1}{2}[/tex]

σ[tex]_m[/tex] = 2400 MPa × 14.43375

σ[tex]_m[/tex] = 34641 MPa

σ[tex]_m[/tex] = ( 34641 × 145 )psi

σ[tex]_m[/tex] = 5.02 × 10⁶  psi

Therefore, the theoretical fracture strength of the brittle material is 5.02 × 10⁶  psi

Answer:

1+1×1 multiplay then you get the answer

Answer:

a) the ultimate tensile stress is 66717.8 psi

b) the ductility of the material in terms of percent elongation is 26%

Explanation:

Given the data in the question;

ultimate load P = 13,100 lb

elongation δl = 0.52 in

diameter of specimen d = 0.50 in

gage length l = 2.00 inch

First we determine the cross-sectional area of the specimen

A = [tex]\frac{\pi }{4}[/tex] × d²

we substitute

A = [tex]\frac{\pi }{4}[/tex] × ( 0.50 )²

A = 0.1963495 in²

a) the ultimate tensile stress σ[tex]_u[/tex]

tensile stress σ[tex]_u[/tex] = P / A

we substitute

tensile stress σ[tex]_u[/tex] = 13,100 / 0.1963495

tensile stress σ[tex]_u[/tex] = 66717.766 ≈ 66717.8 psi

Therefore, the ultimate tensile stress is 66717.8 psi

b) ductility of the material in terms of percent elongation;

percentage elongation of specimen = [change in length / original length]100

% = [ δl / l ]100

we substitute

% = [ 0.52 in / 2.00 in ]100

= [ 0.26 ]100

= 26

Therefore, the ductility of the material in terms of percent elongation is 26%

Answer: hello there is a Missing information below is the missing information

surface dimensions of  10m * 8m

answer :

a) 640 m^3/hr

b) 1334.66 m^3

Explanation:

a) Determine the flow rate ( m^3/s ) of the filter handle

Va = Q /A[tex]_{f}[/tex]

where ; Va = filtration rate ( 8.00 m/h ) ,  Q = flow rate of filter handle , A[tex]_{f}[/tex] = surface area ( 10 m * 8 m  )

Q = 8 * ( 10m * 8m ) = 640 m^3 / hr

b) Determine the volume of water needed for backwashing plus rinsing the filter in each filter cycle

Лf = 0.96  ( production efficiency )

Vb + Vr = 0.04 Vf

∴ Vf  =  ( Vb + Vr ) / 0.04  ------ ( 1 )

next step ; determine the volume of filtered water making use of effective filtration rate

Ref = ( Vf - Vb - Vr ) / A[tex]_{f}[/tex]T[tex]_{c}[/tex]

therefore : Vb + Vr = Vf - ( 80 * 52 * 7.7 ) ----  ( 2 )

Input equation 1 into 2

Vb + Vr = ( ( Vb + Vr ) / 0.04  )  - 32032  ---- ( 3 )

Resolve equation 3

hence the Volume of water needed for Backwashing  and rinsing the filter in each filter cycle

= 1334.66 m^3

Answer:

wa 4tefaw gfawe f

Explanation:

so you do e Fse gaewr gware gfawe agfawe gwar g