Two one-kilogram bars of gold are initially at 50°C and 300°C. The bars are brought in contact with each other. What is their final temperature, the entropy change of each block, and the total entropy generation in the process.

Answers

Answer 1

Given:

[tex]T_{1}[/tex] = 50°C = 273+50 =323 K

[tex]T_{2}[/tex] = 300°C = 273+300 =573 K

Solution:

We know that:

specific heat for gold, c = 0.129 J/g°C

Also, change in entropy, ΔS is given by:

[tex]\Delta S = cln\frac{T_{f}}{T_{i}}[/tex]

After the bars brought in contact with each other,

final temperature, [tex]T_{f}[/tex] = [tex]\frac{T_{1}+T_{2}}{2}[/tex]

final temperature, [tex]T_{f}[/tex] = [tex]\frac{323+573}{2}[/tex] = 448K

Now, entropy for first gold bar, using eqn-1

[tex]\Delta S = cln\frac{T_{f}}{T_{1}}[/tex]

[tex]\Delta S_{1} = 0.129ln\frac{448}{323}[/tex] =0.042 J/K

[tex]\Delta S_{2}[/tex] = 0.129ln [tex]\frac{448}{573}[/tex] = - 0.032 J/K    

Total entropy generation,

[tex]\Delta S_{1}[/tex] = [tex]\Delta S_{1}[/tex] + [tex]\Delta S_{2}[/tex]

[tex]\Delta S[/tex] = 0.042 + (- 0.032) = 0.010 J/K


Related Questions

What are the x and y coordinates of the centroid of the area?

Answers

Answer:

[tex]\\X_{C.G}=\frac{\int xdA}{A}\\Y_{C.G}=\frac{\int ydA}{A}[/tex]

Explanation:

The x co-ordinate of the centroid is given by:

[tex]x_{C.G}=\frac{\int xdA}{A}[/tex]

The y co-ordinate of the centroid is given by:

[tex]Y_{C.G}=\frac{\int ydA}{A}[/tex]

where

[tex]x^{}[/tex] is the x co-ordinate of a diffrential area [tex]dA[/tex]

and [tex]y^{}[/tex]  is the x co-ordinate of a diffrential area  [tex]dA[/tex]

See attached figure

Heat conduction is a function of material property, temperature difference and fluid the geometry of the object. a) True b) False

Answers

Answer:

a)True

Explanation:

According to Fourier's law,It states that Heat transfer is directly proportionate to the temperature gradient.For unidirectional conduction

    [tex]q''\alpha\dfrac{dT}{dx}[/tex]

Where q'' is the heat flux.

When This directly proportionate is remove then one constant will on that place and that constant is called conductivity of material.

  [tex]q''=K\dfrac{dT}{dx}[/tex]

So total heat transfer Q

      [tex]Q=KA\dfrac{dT}{dx}[/tex]

When conductivity (K) of material is not constant

K=[tex]K_0[/tex](a+bT)  where a,b are constant.

So from the above expression we can say that heat transfer in material will depend on temperature difference,material property and on on geometry of object.

An unknown gas (k=1.4, c v= 0.716 kJ/kg.K, c_p=1 kJ/kg.K, R = 0287 kJ/kg K) is trapped in a 1 m^3 piston-cylinder device at 1000 KPa and 1000 K. It then undergoes an isothermal (constant-temp) process in which 696 kJ of boundary work is delivered (positive work transfer). Determine the heat transfer. (Use the PG model).

Answers

Answer:

So heat transfer is 696 kJ

Explanation:

Given:

K = 1.4

[tex]C_{v}[/tex] = 0.716 kJ/kg

[tex]C_{p}[/tex] = 1 kJ/kg

R = 0.287 kJ/kg

V = 1 [tex]m^{3}[/tex]

P = 1000 kPa

T = 1000 K

Work delivered, δW = 696 kJ

It is isothermal process, so the initial and final temperature are same, that is T₁ = T₂ and the internal energy is zero (dU =0)

Therefore from 1st law of thermodynamcis,

δQ = dU + δW

     = 0 + 696

     = 696 kJ

So heat transfer is 696 kJ

A horizontal jet of water strikes a vertical surface on a stationary cart that has a mass of 2.8 kg. The jet has a mass flow rate of 0.13 kg/s. The force required to hold the cart in place is 8N. What is the diameter of the nozzle? a. 1.6 mm b. 5.1 mm c. 3.4 mm d. 7.3 mm

Answers

Answer:

option a is correct answer i.e. d = 1.6 mm

Explanation:

From conservation principle

force by jet = force required to hold the jet

force by the jet is written as

[tex]force  = \dot{m}(v_{1}-v_{2})\[/tex]

force required to hold the jet = 8N

[tex]\dot{m}(v_{1})\ = 8[/tex]

[tex]\dot{m}=0.13 kg/s[/tex]

[tex]v_{1} = 61.58 m/s[/tex]

we know that mass flow rate is given as

[tex]\dot{m}=\rho Av_{1}[/tex]

substituting value to get required  diameter of the nozzle

[tex]0.13=1000*\frac{\pi }{4}d^{2}*61.58[/tex]

d = 1.6 mm

A pendulum has an oscillation frequency (T) which is assumed to depend upon its length (L), load mass (m) and the acceleration of gravity (g). Determine the relationship between oscillation frequency, length, load mass and acceleration of gravity. Differentiate as well which variable does not affect the oscillation frequency.

Answers

Answer:

Mass does not affect oscillation frequency.                                                    

Explanation:

Let the bob of the pendulum makes a small angular displacement θ. When the pendulum is displaced from the equilibrium position, a restoring force tries to act upon it and it tries to bring the pendulum back to its equilibrium position. Let this restoring force be F.

Therefore, F = -mgsinθ  

Now for pendulum, for small angle of θ,

sinθ[tex]\simeq[/tex]θ

Therefore, F = -mgθ

Now from Newton's 2nd law of motion,

F = m.a = -mgθ

[tex]\Rightarrow m.\frac{d^{2}x}{dt^{2}} = - mg\Theta[/tex]

Now since, x = θ.L

[tex]\Rightarrow L.\frac{d^{2}\Theta }{dt^{2}}= -g\Theta[/tex]

[tex]\Rightarrow \frac{d^{2}\Theta }{dt^{2}}= -\frac{g}{L}.\Theta[/tex]

[tex]\Rightarrow \frac{d^{2}\Theta }{dt^{2}}+\frac{g}{L}.\Theta =0[/tex]

Therefore, angular frequency

 [tex]\omega ^{2}[/tex] = [tex]\frac{g}{L}[/tex]

ω = [tex]\sqrt{\frac{g}{L}}[/tex]

Also we know angular frequency is , ω = 2.π.f

where f is frequency

Therefore

2πf = [tex]\sqrt{\frac{g}{L}}[/tex]

f = [tex]\frac{1}{2 \pi }\sqrt{\frac{g}{L}}[/tex]

So from here we can see that frequency,f is independent of mass, hence it does not affect frequency.

Vertical axis wind turbine generates more electrical power compared to horizontal axis wind turbine due to differences in wind speed. a)-True b)- False

Answers

Answer: False

Explanation: Horizontal-axis wind turbine is the major part of wind industry. Horizontal axis have rotating axis of wind turbine in horizontal direction.Horizontal wind produces more electricity from a particular amount of wind that is provided and thus is preferred more.

vertical-axis wind turbines have the rotational axis of the turbine in vertical or perpendicular direction and have easy installation even where wind conditions are not predictable and is lighter in weight but are not able to produce the large amount of electricity as compared to horizontal-axis wind turbine.

Thus the statement given is false.

What is a substitutional solid solution? And what factors favor the formation of a substitu- tional solid solution?

Answers

Answer:

A substitutional solid solution is a kind of alloying process used to improve or strengthen a purer metal by alloying it. this process works out by adding atoms of an alloy element to the atoms of the crystal lattice of the parent or base element, thus forming a substitutional solid solution. This process generates local non uniformity in the lattice due to the presence or mixing of an alloy element with the base element which impedes the plastic deformation.

Factors that favor the formation of substitutional solid solution are:

Alloying beyond the solubility limitChemical affinity of the elementsRelative atomic size of the particlesCrystal structure of the elementsValence

Answer:

Substitutional solids solution are formed when there is change in position of atom named as A in lattice by some other atoms of different atoms named as B.

Explanation:

Substitutional solids solution are formed when there is change in position of atom named as A in lattice by some other atoms of different atoms named as B.

Strengthening of this solution occurs when solute atom is lager than solvent atom so that it can replace its position

factor affect the extent of solid solution is

1) Relative atomic size

2) crystal structure

3) chemical affinity

4) valency

Water flows in a pipe of diameter 0.5 m. The dianeter of the to 1,0 m. A U-tube manometer is of the enlargement with joining ercury levels 5 mm. Determine the flow rate as well as the pressure 3 Water pipe suddenly enlarges connected to either side pipes which contain water. The difference in m head loss as a result of the enlargement.

Answers

Answer:

Q = 0.943[tex]m^{3}/s[/tex]

[tex]h_{L}[/tex] = 0.6605 m

Explanation:

Given :

Diameter, d₁ = 0.5 m

Area, A₁ = [tex]\frac{\pi }{4}\times 0.5^{2}[/tex]

             = 0.19625 [tex]m^{2}[/tex]

Enlargement diameter, d₂ = 1 m

Enlargement Area, A₂ = [tex]\frac{\pi }{4}\times 1^{2}[/tex]

             = 0.785 [tex]m^{2}[/tex]

Manometric difference, h = 35 mm

                                          =35 X [tex]10^{-3}[/tex] m

From manometer , we get

[tex]P_{1}+\rho _{w}.g.z_{1}+\rho _{m}.g.h=P_{2}+\rho _{w}.g.(z_{1}+h)[/tex]

[tex]P_{1}-P_{2}=(\rho _{w}-\rho _{m}).g.h[/tex]

[tex]\frac{P_{1}-P_{2}}{\rho _{w}.g}=(1-\frac{\rho _{m}}{\rho _{w}})\times h[/tex]

                                                = [tex](1-13.6)\times 35\times 10^{-3}[/tex]

                                                = -0.441

Now from newtons first law,

[tex]\frac{P_{1}-P_{2}}{\rho _{w}.g}=\frac{V_{2}^{2}-V_{1}V_{2}}{g}[/tex]

-0.441 = [tex]\frac{Q^{2}}{9.81}\times (\frac{1}{A_{2}^{2}}-\frac{1}{A_{1}A_{2}})[/tex]

-0.441 = [tex]\frac{Q^{2}}{9.81}\times (\frac{1}{0.785^{2}}-\frac{1}{(0.19625\times 0.785)^{2}})[/tex]

Therefore. Q = 0.943 [tex]m^{3} /s[/tex]

Now V₁ = [tex]\frac{Q}{A_{1}}[/tex]

            = [tex]\frac{0.943}{0.19625}[/tex]

            = 4.80 m/s

       V₂ =  [tex]\frac{Q}{A_{2}}[/tex]

            = [tex]\frac{0.943}{0.785}[/tex]

            = 1.20 m/s

Therefore, heat loss due to sudden enlargement is given by

  [tex]h_{L}=\frac{(V_{1}-V_{2})^{2}}{2g}[/tex]

[tex]h_{L}=\frac{(4.80-1.20)^{2}}{2\times 9.81}[/tex]

               = 0.6605 m

An electric heater draws 12 A from a 120 V power source. How much powe heater dissipate? (a) 10 W (b) 1200 W (c) 1440 W (d) 17,280 W

Answers

Answer:

c) 1440 W

Explanation:

P = V*i = (12A)*(120V) = 1440W

According to the scenario, the amount of power that is dissipated by the heater is 1440 W. Thus, the correct option for this question is C.

What is Power?

Power may be defined as the amount of energy that is significantly transferred or converted per unit of time. The unit of power is the watt (W). It may be typically calculated with the help of the given formula:

P = W/Δt.

According to the context of this question, the amount of power that is dissipated within the heater is calculated by the following formula:

P = V × i = 12 × 120 = 1440 W.

Therefore, according to the scenario, the amount of power that is dissipated by the heater is 1440 W. Thus, the correct option for this question is C.

To learn more about Power, refer to the link:

https://brainly.com/question/1634438

#SPJ5

________is defined to be the probability that a failed component or system will be restored to a repaired specified condition within a period of time when maintenance is performed in accordance with prescribed procedures

Answers

Answer:

Repairable component

Explanation:

Repairable component is defined to be the probability that a failed component or system will be restored to a repaired specified condition within a period of time when maintenance is performed in accordance with prescribed procedures.

________is defined to be the probability that a failed component or system will be restored to a repaired specified condition within a period of time when maintenance is performed in accordance with prescribed procedures

Repairable component

The difference between absolute viscosity and kinematic viscosity is a. the absolute viscosity is the mass density divided by the kinematic viscosity c. absolute viscosity relates absolute pressure, film thickness and velocity while kinematic viscosity b. the kinematic viscosity is the absolute viscosity divided by the mass density relates shear stress and relative pressure e. all of the above

Answers

Answer:

b).the kinematic viscosity is absolute viscosity divided by mass density

Explanation:

Viscosity is a fluid property that offers resistance or obstruction to deformation or fluid flow.

Viscosity is of two types--

1. Absolute viscosity , μ

2. Kinematic viscosity, ν

Absolute viscosity :

Absolute viscosity is also called the dynamic viscosity. It is the internal resistance of the fluid to flow.

Kinematic viscosity :

Kinematic viscosity is the ratio of dynamic viscosity to the density of the fluid.

Final answer:

Absolute viscosity measures a fluid's internal friction, while kinematic viscosity is the ratio of absolute viscosity to the fluid's density. Viscosity affects how easily a liquid flows; higher intermolecular forces lead to higher viscosity, and this property is critical in fluid dynamics studies.

Explanation:

The difference between absolute viscosity and kinematic viscosity is that absolute viscosity, often referred to simply as viscosity, represents the fluid's resistance to flow and is a measure of the internal friction within the fluid. Kinematic viscosity, on the other hand, takes the fluid's density into account and is the ratio of the fluid's absolute viscosity to its density. While absolute viscosity is measured in units like Pascal-seconds (Pa·s), kinematic viscosity is measured in square meters per second (m²/s).

Viscosity is influenced by intermolecular forces; liquids that can flow easily, such as ethanol, have lower viscosities, while substances like motor oil with higher intermolecular forces have higher viscosities. Measuring the time it takes for steel balls to fall through a fluid or for a fluid to flow through a narrow tube helps determine the fluid's viscosity. In other words, absolute viscosity is concerned with the sheer strength and flow resistance of a fluid, while kinematic viscosity relates to the movement of the fluid under the force of gravity considering its volume.

If a host system is 80% efficient, the minimum horsepower rating of the motor should be ? if the hoist is to provide 20,000 ft-lb/s. a) 45.45hp b) 23,530hp c) 36.36hp d) 42.78hp

Answers

Answer:

answer is option A i.e.45.45 hp

Explanation:

Given data:

load =20000 ft lb/s

efficiency = 80%

we know that

1 hp = 550 ft lb/s

minimum horsepower rating can be obtained by using following formula

minimum horse power rating = [tex]\frac{load}{efficiency * 1 horse power} \\[/tex]

                                                = [tex]\frac{20000}{0.8*550} = 45.45 hp[/tex]

Give two causes that can result in surface cracking on extruded products.

Answers

Answer:

1. High friction

2. High extrusion temperature

Explanation:

Surface cracking on extruded products are defects or breakage on the surface of the extruded parts. Such cracks are inter granular.

           Surface cracking defects arises from very high work piece temperature that develops cracks on the surface of the work piece. Surface cracking appears when the extrusion speed is very high, that results in high strain rates and generates heat.

          Other factors include very high friction that contributes to surface cracking an d chilling of the surface of high temperature billets.

The temperature in a pressure cooker is 130 degree C while the water is boiling. Determine the pressure inside the cooker.

Answers

If water is boiling at 130 degrees Celsius inside a pressure cooker, the pressure is approximately 2.7 atmospheres

To determine the pressure inside a pressure cooker where water is boiling at 130 degrees Celsius, we use the properties of water and its boiling point at various pressures.

For water, the pressure at which the boiling point is elevated to 130 degrees Celsius can be found using steam tables.

At 130 degrees Celsius, the saturation pressure of water is approximately 2.7 atmospheres (atm). This is equivalent to :

= 2.7 x 101.325 kPa

= 273.5775 kPa, or about 2.7 bar (since 1 bar = 100 kPa)

What is/are the benefit(s) of short fibre reinforcements? A)Increased stiffness only. B)Increased strength and increased Toughness. C) Increased Toughness and increased flexibility. D) None of the above.

Answers

Answer: B) Increased strength and increased toughness

Explanation: Short fibre reinforcement has the major property of being tough and has high strength. Short fibre reinforcement is basically a process of addition of the short fibre to the thermoplastic materials to make the improvement in their quality and working by increasing their strength.They also have application in many areas because of their hardness property as well as being cost -effective. Thus, the option (b) is the correct option.

A wind turbine system has the following specifications: Diameter:45 m Rated power 700 kW at the wind speed of 12 m/s Turbine speed 1500 rpm Determine the swept area of the wind turbine. a)- 1640 m^2 B)- 1690 m^2 c)- 1590 m^2 d)- 1540 m^2

Answers

Answer:

1590 m^2

Explanation:

Given data in this question

Diameter = 45 m

power = 700 kW

wind speed = 12 m/s

turbine speed = 1500 rpm

To find out

swept area of the wind turbine

 

Solution

we know wind turbine is rotate circular form

and diameter is given so by the area of circular swept we will calculate it

we know area =  [tex]\pi /4[/tex] × d²

put the value of d here

area =  [tex]\pi /4[/tex] × 45²

swept area = 1590 m^2

A stainlesss steel cylinder diameter 60 mm is cooled in a air with h = 10 W/m^2-K. If the thermal conductivity is 20 W/m-K, the Biot number for this sphere is a)-0.005 b)-0.03 c)-8 d)-30

Answers

Answer:

The Biot number for this sphere is  0.03

Explanation:

Given data in equation

diameter (d) = 60 mm = 60/1000 = 0.06 m

heat transfer coefficient (h)  = 10 w/m²-K

thermal conductivity (K) = 20 W/m-K

 

To find out

Biot number for sphere

Solution

we will find boit number by this given formula

Biot Number = ( h × S ) / K     ..................1

here h and K value is given in question

and S = diameter/2

S= 60/2 = 30 mm = 0.03 m

Now put these value S, h and K in equation 1

Biot Number = ( 10 × 0.03 ) / 10

Biot Number =  0.03

In a quasi-static process, the system remains infinitesimally close to equilibrium throughout the process. a)True b) False

Answers

Answer:

It is True that in a quasi static process,  the system remains infinitesimally close to equilibrium state throughout the process.

Explanation:

The literal meaning of the word "quasi" is 'almost' and static is 'rest', so quasi static state means almost at rest state of the system

It can be further explained as the process, in thermodynamics which allows the system to be carried to slowly to maintain its equilibrium or to remain in its internal equilibrium state. Such a process is known as quasi-static process. Such processes also allow all isothermal and adiabatic processes to operate slowly so as not to disturb their internal equilibrium. this makes the system to always remain in thermal equilibrium

What are beats? Determine the terms decibel and octave.

Answers

Answer:

Explained below

Explanation:

Beats are interference pattern between two sounds of slightly different frequencies perceived as periodic vibration in volume whose rate is difference of the two.

Both octave and decibel are the terms of measurement.

Octave(In electronics) is a logarithmic unit for ratio between frequencies,with one octave corresponding to doubling of frequency. For example frequency one octave is from 40 Hz to 80 Hz.

Whereas decibel is a unit of sound intensity. It is one-tenth of A bel. In electronics it is used measure power level of an electrical signal by comparing it with given level of logarithmic scale.

Fluids at rest possess no flow energy. a)- True b)- False

Answers

Answer:

True.

Explanation:

According the engineering flow they don not possess flow energy when they are in rest.

When they are in motion they show a translation energy.

The features if fluids may be different according the variables of pressure and temperature.

In shaft design, this of the following has the least influence on the shaft diameter to be determined: (a) Shaft deflection (b) Bearing type (c) Factor of safety (d) Rotational speed of the shaft

Answers

Answer: (d)Rotational speed of the shaft

Explanation: Shaft design is the design of a shaft that is used for defining the stresses at certain critical part of shaft. The shaft design has shaft diameter as a major part and this is determined by several factors like type of bearing , deflection, torque,safety factor etc.

But the least important factor for determining of the  diameter is the rotational speed because it defines the rotation of an object  around a particular axis, where is it states about the number of turns divisible by time. Therefore option(d) is the correct option.

A plate clutch is used to connect a motor shaft running at 1500rpm to shaft 1. The motor is rated at 4 hp. Using a service factor, k=2.75 specify the torque rating for the clutch in lb-in.

Answers

Answer:

[tex](M_t)_{rated}=61.11lb-in[/tex]

Explanation:

speed of motor (N)=1500 rpm

power=4 hp = [tex]4 \times 0.7457 [/tex] =2.9828 KW

service factor(k)= 2.75

now,

[tex]KW=\frac{2\pi n M_t}{60 \times 10^6} \\2.9828=\frac{2\pi \times 1500 M_t}{60 \times 10^6}\\M_t=\frac{2.9828\times 60 \times 10^6}{2\pi \times 1500 }[/tex]

[tex]M_t= 18,989.09 \ N-mm= 168.06 lb-in[/tex]

torque rating

[tex](M_t)_{design}=k_s\times (M_t)_{rated}\\168.06= 2.75\times (M_t)_{rated}\\(M_t)_{rated}=\frac{168.06}{2.75} \\(M_t)_{rated}=61.11lb-in[/tex]

It is not a practical proposition to take direct measurements in nanoscale, but we can estimate variations in position and momentum of particles by a)-Scanning Electron Microscopes b)-Transmission Electron Microscope c)-Heisenberg Uncertainly Principle d)- None of the above

Answers

Answer:

Answer is c Heisenberg's uncertainty principle

Explanation:

According to Heisenberg's uncertainty principle there is always an inherent uncertainty in measuring the position and momentum of a particle simultaneously.

Mathematically

[tex]\Delta x\times \Delta \overrightarrow{p}\geq \frac{h}{4\pi }[/tex]

here 'h' is planck's constant

Harvesting wind energy using kites is: a) possible but currently very expensive. b) possible and currently inexpensive compared to wind turbines c) possible using a single kite.

Answers

Answer: b) possible and currently inexpensive as compared to wind turbines.

Explanation: Wind harvesting through kites is a process that will require less expenses in making and maintenance of it .Kites can be termed as the wind generator that is unconventional. The set up for the kite wind generator is also easy to install and also less costly as compared with turbines. So the correct option is option(a) .

Define spring stiffness and damping constant.

Answers

Answer Explanation:

SPRING STIFFNESS :The stiffness of a body is a measure of resistance offered by an elastic body to deformation.it is denoted by K every object has some stiffness for spring the spring stiffness is the force required to cause unit deflection

DAMPING CONSTANT: the damping constant is a number decided by manufacturer that describes the material property. Damping is an influence within an oscillatory system that has the effect of restricting its oscillation

In a nuclear reactor, more fuel is burned than is consumed. a)-True b)- False

Answers

Answer:

true

Explanation:

yes, it is true more fuel is burned than is consumed.

nuclear reactor generate electricity from nuclear fission and while nuclear fission  nucleus splits into small parts to generate energy.

these energies can be used for my purposes mainly it is used for power generation.

we can also say that  in nuclear reactor  more fuel is consumed because of metal acting as a fissionable material.

A water pipe with a 5 cm inner diameter is designed for to have a flow rate of 75 Umin. What is the entrance length for this pipe (in cm)?

Answers

Answer:

121.20 cm

Explanation:

Given data in question

inner dia = 5 cm

flow rate = 75  umin = 1.25 ×10³ cm³/sec

Solution

First we calculate Re by this formula

Re= [tex]\frac{V × D}{v)}[/tex]  = [tex]\frac{Q × D}{π/4 × D²× v)}[/tex]

Re= [tex]\frac{4Q }{π × D× v)}[/tex]

here we know Q is flow rate and D is dia of pipe and v is kinematic viscosity that is 1.14 × [tex]10^{-2}[/tex] cm ² / sec

so Re= [tex]\frac{4Q }{π × D× v)}[/tex]

Re = [tex]\frac{4×1.25× 10³ }{π × 5 × 1.14 × 10^{-2}  )}[/tex]

So Re will be 27936 that is greater than 4000 thats why it is turbulent flow

and we know [tex]\frac{Length}{dia)}[/tex] ≡ 4.4 [tex]Re^{1/6}[/tex]

so [tex]\frac{Length}{dia)}[/tex] ≡ 24.24

length will be 121.20 cm

Three point bending is better than tensile for evaluating the strength of ceramics. a)-True b)- False

Answers

Answer:

a)-True

Explanation:

Three point bending is better than tensile for evaluating the strength of ceramics. It is got a positive benefit to tensile for evaluating the strength of ceramics.

An electric motor is to be supported by four identical mounts. Each mount can be treated as a linear prevent problems due required that the amplitude of motion should not exceed 0.1 mm per 1 N of unbalance force. The mass of the motor is 120 kg and the operating speed is 720 rpm Use the concept of transfer function to determine the required stiffhess coefficient of each mount.

Answers

GIVEN:

Amplitude, A = 0.1mm

Force, F =1 N

mass of motor, m = 120 kg

operating speed, N = 720 rpm

[tex]\frac{A}{F}[/tex] =  [tex]\frac{0.1\times 10^{-3}}{1} = 0.1\times 10^{-3}[/tex]

Formula Used:

[tex]A = \frac{F}{\sqrt{(K_{t} - m\omega ^{2}) +(\zeta \omega ^{2})}}[/tex]

Solution:

Let Stiffness be denoted by 'K' for each mounting, then for 4 mountings it is 4K

We know that:

[tex]\omega = \frac{2 \pi\times N}{60}[/tex]

so,

[tex]\omega = \frac{2 \pi\times 720}{60}[/tex] = 75.39 rad/s

Using the given formula:

Damping is negligible, so, [tex]\zeta = 0[/tex]

[tex]\frac{A}{F}[/tex] will give the tranfer function

Therefore,

[tex]\frac{A}{F}[/tex] = [tex] \frac{1}{\sqrt{(4K - 120\ ^{2})}}[/tex]

[tex]0.1\times 10^{-3}[/tex] =  [tex] \frac{1}{\sqrt{(4K - 120\ ^{2})}}[/tex]

Required stiffness coefficient, K = 173009 N/m = 173.01 N/mm

A(n)_____ is a device that provides the power and motion to manipulate the moving parts of a valve or damper used to control fluid flow. A. actuator B. pilot-operated regulator C. ratio regulator D. sliding stem

Answers

Answer:

Out of the four options provided

option A. actuator

is correct

Explanation:

An actuator is the only device out of the four mentioned devices that provides power and ensures the motion in it in order to manipulate the movement of the moving parts of the damper or a valve used whereas others like ratio regulator are used to regulate air or gas ratio and none mof the 3 remaining options serves the purpose

Other Questions
Which of the following is categorized as an indirect paymentportion of employee compensation?a. Wagesb. Salariesc. Employer-paid insuranced. Commissions Which of these languages is heavily rooted in Latin?German Romansch FrenchPolish The outstanding bonds of The Purple Fiddle are priced at $898 and mature in nine years. These bonds have a 6 percent coupon and pay interest annually. The firm's tax rate is 35 percent. What is the firm's after tax cost of debt? The urban underclass differs from others among the lower class in a number of ways. Which of the following is not one of these reasons? a. The working poor are more likely to engage in illegal activities. b. The urban underclass have almost no means of economic support. c. The urban underclass is very likely to be dependent on public assistance programs. d. The urban underclass consists of mostly recent immigrants. An element has two isotopes. One has a mass of 5.03 amu and an abundance of 25%, the other has a mass of 7.20 amu and anabundance of 75%. What is the average atomic mass of the element? PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!The new middle school aquarium is a rectangular prism with these dimensions:Length: 60 cmWidth: 25cmHeight: 30 cmFind how much water it will take to fill the aquarium to the top (volume).Find how much glass it will take to make the aquarium (surface area).Note: There is no top to the aquarium. It may help to draw a net. List, in order, all the structures the filtrate must flow through to get from the glomerulus to the outside of the body. An object at the surface of Earth (at a distance R from the center of Earth) weighs 166 N. What is its weight (in N) at a distance 4R from the center of Earth? Round your answer to the nearest tenth. Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a function of its volume, v, incubic inches? Match each characteristic with the North or the South. Manufacturers needed cotton for textile mills. Immigrants filled the need for labor. Slaves met the need for labor. Citizens supported a stronger federal government. Citizens supported a stronger state government. Citizens needed to import manufactured goods Im really desperate, I need this answer. Plzzzz.Use Zoes diagram to answer the following questions.Zoe wants to replace the letters on her diagram with labels that describe how the nerves and muscles communicated with each other to trigger her reflexive response. What should her labels be? Should she eliminate any letters from this pathway? If m proportional to n and m=5 when n=4.what is the valuue of m?when n=18 A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance. The value of money falls as the price level a. falls, because the number of dollars needed to buy a representative basket of goods falls. b. rises, because the number of dollars needed to buy a representative basket of goods rises. c. falls, because the number of dollars needed to buy a representative basket of goods rises. d. rises, because the number of dollars needed to buy a representative basket of goods falls. An electron (mass m=9.111031kg) is accelerated from the rest in the uniform field E (E=1.45104N/C) between two thin parallel charged plates. The separation of the plates is 1.90 cm . The electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate, with what speed does it leave the hole? if 4 oz of solution is required for 2 Gallons of water. How much of the solution should I use if the amount of water required is 22 ounces?1 Gallon = 128 Ounces Which statement is an example of a paradox? A. His sister is awfully pretty. B. You have to be cruel to be kind. C. The elephant's name is Tiny. D. It was dark and dim in the doorway. PLEASE HELP ASAP!! At a frozen yogurt store, customers can purchase gelatin spheres as a yogurt topping. Each sphere contains 100.48/3 cubic millimeters of gelatin. Which statements about the measurements of the sphere are true? Check all that apply. (Use 3.14 for . Recall that the formula for the volume for a sphere is V= 4/3r .)The radius of a sphere is 8 millimeters.The radius of a sphere is 2 millimeters.The circumference of the great circle of a sphere is 9.42 square millimeters.The surface area of a sphere is 50.24 square millimeters.The circumference of the great circle of a sphere is 12.56 square millimeters.The surface area of a sphere is 25.12 square millimeters. Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 555 minutes in total giving both instructions, and spoke 270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish? Read the excerpt from We Shall Not Be Moved.Traffic, both horses and autos, had been stopped cold, and some two hundred police reserves and plainclothesmen had been called out to maintain order. It seemed the army might at any moment erupt into the rest of Manhattan, invading Wall Street and the Bowery. By ten o-clock 15,000 workers had left their machines. By nightfall, 25,000. Within the next few days the number rose to nearly 30,000, and it included some cutters, pressers, and finishers.Which best states one of the authors purposes for including this information in the text?to give the reader important facts about a historical eventto describe what a historical event felt like to a participantto tell the reader how a historical event affects people todayto persuade the reader that a historical event was tragic