Answer:
[tex]I=3A[/tex]
Explanation:
From the question we are told that:
Number of lamps [tex]N=4[/tex]
Potential difference [tex]V=60v[/tex]
Total Resistance of the lamp is [tex]R= 20ohms[/tex]
Generally the equation for Current I is mathematically given by
[tex]I=\frac{V}{R}[/tex]
[tex]I=\frac{60}{20}[/tex]
[tex]I=3A[/tex]
Derive the expression for electrical-loading nonlinearity error (percentage) in a rotatory potentiometer in terms of the angular displacement, maximum displacement (stroke), potentiometer element resistance, and load resistance. Plot the percentage error as a function of the fractional displacement for the three cases: RL/RC = 0.1, 1.0, and 10.0
Answer:
The plot for percentage error as a function of fractional displacement ( [tex]\frac{R_{L} }{R_{C} }[/tex]) for the values of 0.1,1.0,10.0 is shown in image attached below.
Explanation:
Electrical loading non linearity error (percentage) is shown below.
[tex]E=\frac{(\frac{v_{o} }{v_{r} }-\frac{Q}{Q_{max} } )}{\frac{Q}{Q_{max} } }[/tex]×[tex]100[/tex]
where Q= displacement of the slider arm
[tex]Q_{max}=[/tex] maximum displacement of a stroke
[tex]\frac{v_{o} }{ v_{r} } =[/tex][tex]\frac{(\frac{Q}{Q_{max} }(\frac{R_{L} }{R_{C} } ) )}{(\frac{R_{L} }{R_{C} } ) +(\frac{Q}{Q_{max} })-(\frac{Q}{Q_{max} })^{2} }[/tex]
here [tex]R_{L}=load resistance[/tex]
[tex]R_{C}=[/tex]total resistance of potentiometer.
Now the nonlinearity error in percentage is
[tex]E=\frac{(\frac{(\frac{Q}{Q_{max} }(\frac{R_{L} }{R_{C} } ) )}{(\frac{R_{L} }{R_{C} } ) +(\frac{Q}{Q_{max} })-(\frac{Q}{Q_{max} })^{2} }-\frac{Q}{Q_{max} } )}{\frac{Q}{Q_{max} } }[/tex]×[tex]100[/tex]
The following attached file shows nonlinear error in percentage as a function of [tex]\frac{R_{L} }{R_{C} }[/tex] displacement with given values 0.1, 1.0, 10.0. The plot is drawn using MATLAB.
The MATLAB code is given below.
clear all ;
clc ;
ratio=0.1 ;
i=0 ;
for zratio=0:0.01:1 ;
i=i+1 ;
tratioa (1,i)=zratio ;
E1(1,i)=((((zratio*ratio)/(ratio+zratio-zratio^2))-zratio)/zrtio)*100 ;
end
ratio=1.0 :
i=0 ;
for zratio=0:0.01:1 ;
i=i+1 ;
tratiob (1,i)=zratio ;
E2(1,i)=((((zratio*ratio)/(ratio+zratio-zratio^2))-zratio)/zratio)*100 ;
end
ratio=10.0 :
i=0 ;
for zratio=0:0.01:1 ;
i=i+1 ;
tratioc (1,i)=zratio ;
E3(1,i)=((((zratio*ratio)/(ratio+zratio-zratio^2))-zratio)/zrtio)*100 ;
end
k=plot(tratioa,E1,tratiob,E2,tratioc,E3)
grid
title({non linear error in % as a function of R_L/R_C})
k(1). line width = 2;
k(1).marker='*'
k(1).color='red'
k(2).linewidth=1;
k(2).marker='d';
k(2).color='m';
k(3).linewidth=0.5;
k(3).marker='h';
k(3).color='b'
legend ('location', 'south east')
legend('R_L/R_C=0.1','R_L/R_C=1.0','R_L/R_C=10.0')
The term _______________refers to the science of using fluids to perform work.
Answer:
Hi, there your answer is hydraulics
Explanation:
Greek engineers had the unenviable task of moving largecolumns from the quarries to the city.One engineer,Chersiphron, tried several different techniques to do this. Onemethodwas to cut pivot holes into the ends of the stone andthen use oxen to pull the column. The 5-ft diameter columnweighs 14,000 lbs, andthe team of oxen generates a constantpull force of 2,000 lbs on the center of the cylinder,G. Knowingthat the column starts from rest and rolls without slipping,determine:(a) the velocity of its center,G,after it has moved7ft,and (b) the minimum static coefficient of friction that will keepit from slipping.
Answer:
yea
Explanation:
okkudjeheud email and delete the electronic version of this communication
You are hired as the investigators to identify the root cause and describe what should have occurred based on the following information. The mass of jet fuel required to travel from Toronto to Edmonton is 22,300 kg. The fuel gage correctly indicated that the plane already had 7,682 L of jet fuel in the tank. The specific gravity of the jet fuel is 0.803. Using this information, the crew added 4,916 L of fuel and took off, only to run out of fuel and crash a short while later. Use your knowledge of dimensions and units to work out what went wrong.
Answer:
The mass of fuel added, which is 10,166.2 kg is less than 22,300 kg which is the mass of fuel required to travel from Toronto to Edmonton, the plane therefore crashed.
Explanation:
Since density ρ = m/v where m = mass of fuel and v = volume of fuel, we need to find the mass of each volume of fuel.
So, m = ρv now ρ = specific gravity × density of water = 0.803 × 1000 kg/m³ = 803 kg/m³.
To find the mass of the 7,682 L of fuel, its volume is 7,682 dm³ = 7,682 dm³ × 1 m³/1000 dm³ = 7.682 m³.
It's mass, m = 803 kg/m³ × 7.682 m³ = 6168.646 kg
To find the mass of the extra 4,916 L of fuel added, we have
m' = ρv' where v' = 4,916 L = 4,916 dm³ = 4916 dm³ × 1 m³/1000 dm³ = 4.916 m³
m' = 803 kg/m³ × 4.916 m³ = 3947.548 kg
So, the total mass of the fuel is m" = m + m' = 6168.646 kg + 3947.548 kg = 10116.194 kg ≅ 10,166.2 kg
Since this mass of fuel added, which is 10,166.2 kg is less than 22,300 kg which is the mass of fuel required to travel from Toronto to Edmonton, the plane therefore crashed.
The following true stresses produce the corresponding true plastic strains for a brass alloy: True Stress (psi) True Strain 49300 0.11 61300 0.21 What true stress is necessary to produce a true plastic strain of 0.25
Answer:
64640.92 psi
Explanation:
True stress ( psi ) True strain
49300 0.11
61300 0.21
Determine the true stress necessary to produce a true plastic strain of 0.25
бT1 = 49300
бT2 = 61300
бT3 = ?
∈T1 = 0.11
∈T2 = 0.21
∈T3 = 0.25
note : бTi = k ∈Ti^h
∴ 49300 = k ( 0.11 )^h ----- ( 1 )
61300 = k ( 0.21)^h ------ ( 2 )
solving equations 1 and 2 simultaneously
49300/61300 = ( 0.11 / 0.21 )^h
0.804 = (0.52 )^h
next step : apply logarithm
log ( 0.804 ) = log(0.52)^h
h = log 0.804 / log (0.52)
= 0.33
back to equation 1
49300 = k ( 0.11 )^0.33
k = 49300 / (0.11)^0.33
= 102138
therefore бT3 = K (0.25)^h
= 102138 ( 0.25 )^ 0.33
= 64640.92
Every time I take a photo, that photo has to be stored in a file somewhere within "My Files" correct?
How would I be able to take that photo out of the file it was stored?
Cut that photo by
1. Left click your mouse on the photo
2. Click cut
Then enter the file where you want to transfer and press
1. ctrl+v
Answer:
you can go to your file and then select the phpto and hold on a little bit and choose the delete option
A wastewater treatment plant treats 20 MGD of wastewater containing 950 mg/L of suspended solids in a primary clarifier that has a 20% suspended solids removal efficiency. The rate of sludge collection, the flow rate out the bottom of the clarifier, is 0.08 MGD.
a) What is the solids concentration (in mg/L) in the sludge leaving the clarifier?
b) What mass of solids (in kg/y) is removed annually by the primary clarifier?
Answer:
a) 47500 mg/L
b) 5250366.444 kg/year
Explanation:
Given data:
suspended solids removal efficiency = 20%
Flowrate in the primary clarifier ( Q ) = 20 MGD ( change to Liters/day
Q = 20* 10^6 * 3.785412 Liters /day
settled concentration ( St ) = 950mg/L * 0.2 = 190 mg/L
amount of settled solid = Q * St
= ( 20* 10^6 * 3.785412 ) * 190 = 14384.5656 kg/day
∴ Amount going into sludge with a flowrate of 0.08 MGD = 14384.5656 kg/day
a) concentration of solid in sludge ( leaving the clarifier )
= amount of settled solid / flow rate out of the clarifier in liters/day
= 14384.5656 / ( 0.08 * 10^6 * 3.785412 )
= 0.0475 kg/L
= 47500 mg/L
b) Determine mass of solids that is removed annually
= 14384.5656 kg/day * 365 days
= 5250366.444 kg/year
Find at the terminals of the circuit
A 2*8 inches wood member has a length =11 ft it's density is =30 Lb/ft^3 find the actual weight of this member in Lb
Answer:
359.046 Ib
Explanation:
density = m / v ---- ( 1 )
m = mass
v = volume = l * b * h
Given data :
density = 30 Ib / ft^3
l = 2 inches = 0.1667 ft
b = 8 inches = 0.6667 ft
h = 11 ft
v ( volume ) = 0.1667 * 0.6667 * 11 = 1.22 ft^3
back to equation 1
m = 30 * 1.22 = 36.6 Ib
Actual weight ( F ) = m * g
= 36.6 * 9.81 = 359.046 Ib.
How did the development of John Hadley's octant into a sextant enhance its measuring capabilities?
O A.
navigators could use the instrument in stormy conditions
OB.
navigators could measure angles to the nearest minute
O C. navigators could measure angles up to 60°
OD.
navigators could measure angles up to 120°
Answer:
b
Explanation:
Conditions of special concern: i. Suggest two reasons each why distillation columns are run a.) above or b.) below ambient pressure. Be sure to state clearly which explanation is for above and which is for below ambient pressure. ii. Suggest two reasons each why reactors are run at a.) elevated pressures and/or b.) elevated temperatures. Be sure to state clearly which explanation is for elevated pressure and which is for elevated temperature
Solution :
Methods for selling pressure of a distillation column :
a). Set, [tex]\text{based on the pressure required to condensed}[/tex] the overhead stream using cooling water.
(minimum of approximate 45°C condenser temperature)
b). Set, [tex]\text{based on highest temperature}[/tex] of bottom product that avoids decomposition or reaction.
c). Set, [tex]\text{based on available highest }[/tex] not utility for reboiler.
Running the distillation column above the ambient pressure because :
The components to be distilled have very high vapor pressures and the temperature at which they can be condensed at or below the ambient pressure.
Run the reactor at an evaluated temperature because :
a). The rate of reaction is taster. This results in a small reactor or high phase conversion.
b). The reaction is endothermic and equilibrium limited increasing the temperature shifts the equilibrium to the right.
Run the reaction at an evaluated pressure because :
The reaction is gas phase and the concentration and hence the rate is increased as the pressure is increased. This results in a smaller reactor and /or higher reactor conversion.
The reaction is equilibrium limited and there are few products moles than react moles. As increase in pressure shifts the equilibrium to the right.
Which of the following is not a correct statement about a probability select one
It must have a value between 0 and 1
It can be reported as a decimal or a fraction
A value near means that the event is not likely to occur/happens
It is the collection of several experiments
Answer:
but how does that make sense
Answer:
option b is the wrong statement
Step-by-step explanation:
it can be reported as decimal and fraction. probability must have a value between 0 and 1.probabilty zero means it is an impossible event, which is not likely to occur or happen.
Is it permissible to install recessed fixture directly against wood ceiling joists? Explain why or why not.
Answer:
No
Explanation:
It is not permissible to install recessed fixture directly against wood ceiling joists when the label on the fixture does not indicate that it can be used for Insulation in contact with the recessed fixture .
Because The trim finishing and points of support of openings in finished surfaces are not allowed to be in contact with the combustible materials
Butters Furnishings makes hand crafted furniture for sale in its retail stores. The furniture maker has recently installed a new assembly process, including a new sander and polisher. With this new system, production has increased to 70 pieces of furniture per day from the previous 60 pieces of furniture per day. The number of defective items produced has dropped from 10 pieces per day to 4 per day. The production facility operates strictly 7 hours per day. Five people work daily in the plant. What is the growth rate in productivity for Aztec using the new assembly process?
Answer:
0.320
Explanation:
Productivity is measured as the total output divided by total input.
From the given information, the output is taken into consideration when we finish subtracting the defective materials.
The labor hours usually regarded as the input = 7 hours per day × 5 = 35
For the prior productivity, we have:
[tex]\mathbf{Prior \ Productivity = \dfrac{60 - 10}{35}}[/tex]
[tex]\mathbf{Prior \ Productivity = \dfrac{50}{35}}[/tex]
[tex]\mathbf{Prior \ Productivity = 1.43}[/tex]
For the current productivity:
[tex]\mathbf{current \ productivity= \dfrac{70-4}{35}}[/tex]
[tex]\mathbf{current \ productivity= \dfrac{66}{35}}[/tex]
[tex]\mathbf{current \ productivity= 1.89}[/tex]
Thus, the growth rate i.e. the increased change in productivity is:
[tex]= \dfrac{1.89 - 1.43}{1.43}[/tex]
= 0.320
A spring having a stiffness k is compressed a distance δ. The stored energy in the spring is used to drive a machine which requires power P. Determine how long the spring can supply energy at the required rate.
Units Used: kN = 103 N
Given: k = 5 kN/m; δ = 400 mm; P = 90 W
Answer:
30w
Explanation:
with the aid of a labbled diagram describe the operation of a core type single phase transformer
Answer:
A simple single-phase transformer has each winding being wound cylindrically on a soft iron limb separately to provide a necessary magnetic circuit, which is commonly referred to as “transformer core”. It offers a path for the flow of the magnetic field to induce voltage between two windings.
Explain the advantages of using register indirect addressing mode over direct addressing mode with an 8051 assembly code. Also provide an example where it is inefficient to code using register indirect addressing mode.
A 6-hp pump is used to raise water to an elevation of 12 meters. If the mechanical efficiency of the pump is 85 percent, determine the maximum volume flow rate of water in gallons per hour.
Answer:
29481.60 gallons/hour
Explanation:
Pump ( in ) = 6 - hp
Elevation ( h ) = 12 meters
mechanical efficiency of pump ( η pump ) = 85% = 0.85
Calculate for the maximum volume flow rate of water
1 - hp = 745.7 w
η pump = mgh / W * in
mgh = η pump * W * in
i.e. pVgh = η pump * W * in
∴ V = η pump * W * in / pgh
= 0.82 * ( 745.7 * 6 ) / 1000 * 9.81 * 12
= 3668.844 / 117720
= 0.031 m^3 /s = 29481.601 gallons/hour
The answer to the question is what the
A column carries 5400 pounds of load and is supported on a spread footing. The footing rests on coarse sand. Design the smallest square footing (to the next 3-inch increment) that will safely carry the column load. The footing will be 1 ft 9 in. deep and will be constructed of cast-in-place concrete.
Answer:
Following are the responses to the given question:
Explanation:
lời mở đầu cho môn lí thuyết tài chính tiền tệ
Answer:
No puedo entenderte solo en español
Consider a single crystal of nickel oriented such that a tensile stress is applied along a [001] direction. If slip occurs on a (111) plane and in a [101]direction and is initiated at an applied tensile stress of 13.9 MPa (2020 psi), compute the critical resolved shear stress
Answer:
[tex]\mathbf{\tau_c =5.675 \ MPa}[/tex]
Explanation:
Given that:
The direction of the applied tensile stress =[001]
direction of the slip plane = [[tex]\bar 1[/tex]01]
normal to the slip plane = [111]
Now, the first thing to do is to calculate the angle between the tensile stress and the slip by using the formula:
[tex]cos \lambda = \Big [\dfrac{d_1d_2+e_1e_2+f_1f_2}{\sqrt{(d_1^2+e_1^2+f_1^2)+(d_2^2+e_2^2+f_2^2) }} \Big][/tex]
where;
[tex][d_1\ e_1 \ f_1][/tex] = directional indices for tensile stress
[tex][d_2 \ e_2 \ f_2][/tex] = slip direction
replacing their values;
i.e [tex]d_1[/tex] = 0 ,[tex]e_1[/tex] = 0 [tex]f_1[/tex] = 1 & [tex]d_2[/tex] = -1 , [tex]e_2[/tex] = 0 , [tex]f_2[/tex] = 1
[tex]cos \lambda = \Big [\dfrac{(0\times -1)+(0\times 0) + (1\times 1) }{\sqrt{(0^2+0^2+1^2)+((-1)^2+0^2+1^2) }} \Big][/tex]
[tex]cos \ \lambda = \dfrac{1}{\sqrt{2}}[/tex]
Also, to find the angle [tex]\phi[/tex] between the stress [001] & normal slip plane [111]
Then;
[tex]cos \ \phi = \Big [\dfrac{d_1d_3+e_1e_3+f_1f_3}{\sqrt{(d_1^2+e_1^2+f_1^2)+(d_3^2+e_3^2+f_3^2) }} \Big][/tex]
replacing their values;
i.e [tex]d_1[/tex] = 0 ,[tex]e_1[/tex] = 0 [tex]f_1[/tex] = 1 & [tex]d_3[/tex] = 1 , [tex]e_3[/tex] = 1 , [tex]f_3[/tex] = 1
[tex]cos \ \phi= \Big [ \dfrac{ (0 \times 1)+(0 \times 1)+(1 \times 1)} {\sqrt {(0^2+0^2+1^2)+(1^2+1^2 +1^2)} } \Big][/tex]
[tex]cos \phi= \dfrac{1} {\sqrt{3} }[/tex]
However, the critical resolved SS(shear stress) [tex]\mathbf{\tau_c}[/tex] can be computed using the formula:
[tex]\tau_c = (\sigma )(cos \phi )(cos \lambda)[/tex]
where;
applied tensile stress [tex]\sigma =[/tex] 13.9 MPa
∴
[tex]\tau_c =13.9\times ( \dfrac{1}{\sqrt{2}} )( \dfrac{1}{\sqrt{3}})[/tex]
[tex]\mathbf{\tau_c =5.675 \ MPa}[/tex]
technician A says that incandescent bulbs resist vibration well. Technician B says that HID headlamps require up to approximately 25,000 volts to start. Who is correct
Answer:
Both a and b.
Explanation:
HID headlamps require high voltage ignition to start just like street lamps. It requires almost 25,000 volts to start HID head lamps but require only 80 to 90 volts to keep it operating.
Question 3
Marked out of 1.00
Question text
When you sell a car, what do you need to do to tell the state that you are not liable for that car anymore, including parking tickets?
Select one:
a. Call the DMV and tell them you sold the car
b. On the "Title" of the car, fill out the "Release of Liability" form and mail it in as instructed on the form.
c. The person you are selling the car to will take care of it.
d. There is nothing to do; if you do not own the car anymore, it is not your responsibility.
Answer:
D
Explanation:
Your answer is D.There is nothing to do; if you do not own the car anymore, it is not your responsibility
A project has an initial cost of $100,000 and uniform annual benefits of $12,500. At the end of its 8-year useful life, its salvage value is $30,000. At a 10% interest rate, the net present worth of the project is approximately:__________
1- $-19,318
2- $0
3- $+30,000
4- $+100,000
Answer:
[tex]X=-\$19318[/tex]
Explanation:
From the question we are told that:
Initial cost [tex]P= $100,000[/tex]
Annual benefits [tex]A= $12,500[/tex]
Salvage value [tex]S= $30,000[/tex]
Interest rate [tex]I=10\%=>0.10[/tex]
Time [tex]t=8years[/tex]
Generally the equation for Net Project worth X is mathematically given by
[tex]X=-P+A+S[/tex]
Where
Present worth of Annual benefits A is
[tex]A'=A(P/a,0.10,8)[/tex]
[tex]A'=12500*5.3349[/tex]
[tex]A'=\$66686.25[/tex]
Present worth of Salvage Price S is
[tex]S'=S(P/a,0.10,8)[/tex]
[tex]S'=30000*0.46651[/tex]
[tex]S'=\$13995.3[/tex]
Therefore
[tex]X=-P+A'+S'[/tex]
[tex]X=-100000+66686.25+\$13995.3[/tex]
[tex]X=-\$19318[/tex]
3. Which of these instruments is used to measure wind speed? A. anemometer C. wind sock B. thermometer D. wind vane It is an instrument that can show both the wind speed and direction. A. Anemometer C. Wind sock B. thermometer D. wind vane 4. 5. At what time does air temperature changes? A. from time to time C. in the evening only B. in the afternoon only D. in the morning only
Answer:
wind vane if it can be used to show wind speed and the other is a
Explanation:
please mark 5 star if im right and brainly when ya can
The inputs of two registers R0 and R1 are controlled by a 2-to-1 multiplexer. The multiplexer select line and the register load enable inputs are controlled by inputs C0 and C1. Only one of the control inputs may be equal to 1 at a time. The required transfers are:
Answer: Hello your question is incomplete attached below is the complete question
answer :
Attached below
Explanation:
Given data:
The inputs of two registers are controlled by a 2-to-1 multiplexer.
The multiplexer select line and the register load enable inputs are controlled by inputs Co, C1, and C2.
Using the required transfers in the question to complete the detailed logic diagrams ( attached below )
Hot combustion gases, modeled as air behaving as an ideal gas, enter a steady-state turbine at 145 psi, 2700oR, and exit at 29 psi and 1974oR. The power output is 74.26 hp, and heat transfer from the turbine to the surroundings occurs at a rate of 14 BTU/s.
Required:
Determine the power output of the turbine, in hp.
Hot combustion gases, modeled as air behaving as an ideal gas, enter a steady-state turbine at 145 psi, 2700oR, and exit at 29 psi and 1974oR. The power output is 74.26 hp, and heat transfer from the turbine to the surroundings occurs at a rate of 14 BTU/s.
Required:
a)Determine the power output of the turbine, in hp.
b) The Flow rate
Answer:
a) [tex]w=74.26hp[/tex]
b) [tex]m=0.22[/tex]
Explanation:
From the question we are told that:
Initial Pressure [tex]p_1= 145 psi[/tex]
Initial Temperature [tex]T_1 =2700oR=>2240.33^oF[/tex]
Final Pressure [tex]p_2= 29 psi[/tex]
Final Temperature [tex]t_2=1974oR=>1514.33^oF[/tex]
Output Power [tex]w=74.26hp[/tex]
Heat transfer Rate [tex]Q=14BTU/s[/tex]
Generally the equation for Steady flow energy is mathematically given by
[tex]Q-w=m(h_2-h_1)[/tex]
Where
[tex]m=Flow\ rate[/tex]
From Steam table
[tex]h_1=704btu/ib (at\ p_1= 145\ psi,\ T_1 =2700oR=>2240.33^oF )[/tex]
[tex]h_2=401btu/ib (at\ p_2= 29psi\ t_2=1974oR=>1514.33^oF )[/tex]
Therefore
[tex]-14-74.26=m(401-704)[/tex]
[tex]m=\frac{-14-74.26}{(401-704)}[/tex]
[tex]m=0.22[/tex]
The current flowing into the collector lead of a certain bipolar junction transistor (BJT) is measured to be 1 nA. If no charge was transferred in or out of the collector lead prior to t = 0, and the current flows for 1 min. calculate the total charge which crosses into the collector.
Answer:
the total charge which crosses into the collector is 60 nC
Explanation:
Given the data in the question;
current flowing into the collector lead of the bipolar junction transistor (BJT); i = 1 nA = 10⁻⁹ A
no charge was transferred in or out of the collector lead prior to t = 0
the current flow time t = 1 min = 60 sec
Now we write the relation between current, charge, and time;
i = dq / dt
where i is current, q is charge and t is time. { d refers to change }
Now,
[tex]q=\int\limits^t_{t=0} {i(t)} \, dt[/tex]
[tex]q=\int\limits^{t=60}_{t=0} { (10^{-9}) } \, dt[/tex]
[tex]q = ( 10^{-9}) (t)_0^{60[/tex]
[tex]q = ( 10^{-9}) ( 60 - 0 )[/tex]
q = 60 × 10⁻⁹ C
q = 60 nC
Therefore, the total charge which crosses into the collector is 60 nC
The number of telephone calls that arrive at a call center is often modeled as a poisson random variable. Assume that on the average there are 10 calls per hour
If the operators of the call center take a 30 minutes break for lunch what is probability that they don’t miss any call ?