True, it is not necessary to enter values in the number of increment and number of parallel while assigning properties to the boiler.
While assigning properties to the boiler, some of the information that needs to be entered include: Boiler type, Nominal power.
Minimum power: Maximum power, Number of increments, Number of parallel, Control mode, Pump Type. The Number of increment and number of parallel is an optional parameter and therefore, it is not necessary to enter value in number of increment and number of parallel while assigning properties to the boiler.
The number of increments and number of parallel are optional parameters when assigning properties to a boiler. This means that it is not necessary to enter values for these parameters if they are not applicable or if the specific boiler being used does not require them.
The number of increments typically refers to the number of discrete power levels or stages at which the boiler can operate. It is commonly used in boilers with modulating capabilities, where the power output can be adjusted to different levels based on the heating demand. If your boiler does not have this feature, or if you are not sure about the number of increments, you can leave it blank or enter 0 as the value.
Similarly, the number of parallel refers to the number of identical boilers operating in parallel to meet the heating demand. This configuration is often used in larger heating systems where multiple boilers work together to provide the required power output. If you are not using multiple boilers in parallel, or if you are unsure about this parameter, you can also leave it blank or enter 0.
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From Example 5-38, the Moment Generating Function of a Poisson random variable, X, is given as Mx(t) = e¹(e¹-1) If Y = 2X, then the Moment Generating Function of Y is My(t) = e¹(e²¹-1) My(t) = e^(2e¹-1) My(t) = e22(e¹-1) My(t) = e¹(e¹-1)
In Example 5-38, the Moment Generating Function of a Poisson random variable, X, is given as Mx(t) = e¹(e¹-1). If Y = 2X, then the Moment Generating Function of Y is My(t) = e^(2e¹-1).Hence, the correct option is: My(t) = e^(2e¹-1).Explanation:
Given that, X follows a Poisson distribution with parameter λ and Moment Generating Function is,Mx(t) = E[e^(tX)] = Σ (e^(tx) * p(x))x = 0, 1, 2, 3, …..where p(x) is the probability mass function of Poisson distribution which is given by,p(x) = (e^(-λ) * λ^x) / x!Now, for Y = 2X, we can write Y as,Y = g(X) = 2XThen, using probability generating function (pgf), we can obtain the pgf of Y as,My(s) = E[s^Y] = E[s^(2X)] = E[(s^2)^X] = Mx(s^2) = e^(λ(s^2 - 1))Hence, the Moment Generating Function of Y is,My(t) = E[e^(tY)] = E[e^(2tX)] = Mx(2t) = e^(λ(2t-1)) = e^(2e¹-1)Hence, the correct option is: My(t) = e^(2e¹-1).
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Which of the following waves moves the slowest?
Select one:
a. Radio Waves
b. X-rays
c. Gamma Rays
d. Sound Waves
Answer:
x rays is the correct answer
The speed of light is 3 x 10^8 m/s. Find the wavelength for a typical AM radio wave with a frequency of 600 kHz. Answer in units of m.
Answer:
wavelength = (3×10^8 m/s)(6×10^5 Hz)
= 1.8×10^14 m
All forces acting upon a body are equal in magnitude
and opposite in direction. The object is initially
motionless and will remain motionless.
What is this condition called?
Answer:
Explanation:
It's called static equilibrium. The object is motionless and every force equals/cancels each other out
Suppose you are riding on a merry – go – round and you move out to the edge. What happens to the rotational rate of the system?
a.) It decreases because there is a net force on the entire system, slowing it down.
b.) It increases because there is a net force on the entire system, speeding it up.
c.) It decreases because angular momentum is conserved and the moment of inertia increases.
d.) It increases because angular momentum is conserved and the moment of inertia increases.
e.) It decreases because angular momentum is conserved and the moment of inertia decreases
The correct answer is d.
It increases because angular momentum is conserved and the moment of inertia increases. When you move out to the edge of a merry-go-round, the moment of inertia of the system increases and the rotational rate of the system increases as well.
In physics, momentum is a vector quantity that can be expressed as the product of an object's mass and its velocity. Therefore, mass and speed are the main factors that affect the magnitude of a force of motion on an object.
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Thomas Young’s experiment involving the diffraction and interference of light supports the __________
Thomas Young's experiment involving the diffraction and interference of light supports the wave theory of light.
Thomas Young was a British physicist who demonstrated that light could exhibit both wave-like and particle-like properties through his famous double-slit experiment. This experiment provided evidence for the wave theory of light by showing the existence of light interference. In 1801, Young performed a double-slit experiment to test the wave theory of light. He illuminated a thin screen with a beam of light and used two closely spaced parallel slits in another opaque screen placed in front of the first screen.
According to the wave theory, the light passing through the two slits should interfere with each other, producing a pattern of bright and dark bands on a screen placed behind the second screen. The experiment was successful and he observed an interference pattern of bright and dark bands on the screen behind the second screen, this demonstrated that light behaves as a wave, and supports the wave theory of light. In conclusion, Thomas Young's experiment involving the diffraction and interference of light supports the wave theory of light.
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An engineer is designing a small toy car that will be launched from rest. The engineer wants to maximize the kinetic energy of the car when it is launched by a compressed spring. He can only make one adjustment to the initial conditions of the car. Which of the following modifications to the car design would have the greatest effect on increasing the kinetic energy of the car?
A. Decrease the mass of the car slightly.
B. Increase the mass of the car slightly.
C. Decrease the launch speed of the car slightly.
D. Increase the weight of the car slightly.
The modifications to the car design that would have the greatest effect on increasing the kinetic energy of the car is to increase the mass of the car slightly (option B).
What is kinetic energy?Kinetic energy is the energy possessed by an object because of its motion. The kinetic energy equal (nonrelativistically) to one half the mass of the body times the square of its speed.
According to this question, an engineer is designing a small toy car that will be launched from rest. The engineer wants to maximize the kinetic energy of the car when it is launched by a compressed spring.
However, he can only make one adjustment to the initial conditions of the car. Considering the fact that the mass of an object is directly proportional to the kinetic energy.
This suggests that the modifications to the car design that would have the greatest effect on increasing the kinetic energy of the car is to increase the mass of the car slightly.
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What do the planets have in common and how are they different?
Answer:
They vary quite a lot, yet there are some similarities
Explanation:
With Mercury, you have a hot and barren expanse of rock
With Venus, you also have a fairly hot and barren expanse of rock, with a molten core
With Earth, you have a warm/cool variant with water and a full atmosphere
With Mars, you have a colder and barren expanse of valleys and rock, with a rather paste-like ground
With Jupiter, we have our first gas giant, covered in clouds with a thick atmosphere
With Saturn, it is yet another gas giant, with rings of gas and rock and a dense core of metals, such as iron and nickel
With Uranus, it is also rather gas-full with a fair amount of water and methane, which results in its bluish color (an ice giant)
And finally with Neptune, it is the other ice giant, consisting of water, methane, and ammonia
So there are some similarities (gases, water, land formations, etc.) and some differences (rings, temperature, structure, etc.). Our planets are very unique to one another and continue to engage and surprise us.
A plant dying after being exposed to poison represents a physical change.
True or false. (No links please.) Correct answers only..
Answer:
False is the correct answer.
It is considered more of a chemical change because all of the cells inside the plant decompose (change chemicaly)
Answer:
False
Explanation:
saw this on another brainly question, it's because a flower that becomes a poisonous flower would be a chemical change. If it were to mix with the poison it would just become something new entirely.
6. I ran 12.2 km in 1.4 hours. Then I ran another 19.3 km uphill in 2.2 hours. What was my average speed?
Answer: 8.75 km/hr
Explanation:
Concept to know
Average speed: total distance/total time
-------------------------------------------------------
total distance/total time
=(12.2+19.3)/(1.4+2.2) ⇔ add the numbers of two time running together
=31.5/3.6 ⇔ simplify
=8.75 km/hr
Hope this helps!! :)
Please let me know if you have any question
You have been studying heat transfer in science class. Your task today is to make a solar oven to make s'mores: graham crackers, marshmallows, and melted chocolate. When you have successfully completed your oven, you get to eat the s'mores with the melted chocolate and soft marshmallows. How is heat energy transferred to achieve this task?
A - radiation
B - convection
C - insulation
D - conduction
The heat energy transferred to achieve this task is conduction heat transfer.
option D is the correct answer.
What is heat transfer?Heat transfer is defined as the process in which the molecules are moved from the region of higher temperature to lower temperature.
There are three methods of heat transfer process and they include the following;
conduction heat transferconvection heat transferradiation heat transferHeat transfer by conduction is the process of heat transfer from one particle of the medium to another with the particles being in direct contact with each other.
Heat transfer by convection occurs in fluid and involves the actual movement of the liquid molecules.
Heat transfer by radiation is a method of heat transfer that does not require material medium.
Thus, the heat transfer that allowed the oven to heat melt the chocolate is conduction heat transfer while the source of energy of the solar oven is radiation from sun.
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Answer:D is the answer
Explanation:
The character laying on the ground has just been burnt by a chemical known as potassium hydroxide, made from a potassium atom, an oxygen atom, and a hydrogen atom. This means that potassium hydroxide (like most substances) is a _____.
This means that potassium hydroxide is a Compound. Option A.
Water is formed from the chemical combination of hydrogen and oxygen. A water molecule is a chemical bond of two hydrogen atoms and one oxygen atom. Hydrogen polyoxides, also called oxidants oxyhydrogen or explosive gases, are composed only of hydrogen and oxygen atoms, joined only by single bonds, are saturated and acyclic, and have a molecular structure containing no rings or loops increase.
Hydrogen is an element consisting of a group of hydrogen atoms, and oxygen is an element consisting of oxygen atoms. But water is a compound of water molecules. Molecules that make up a compound are made up of different types of atoms, but molecules can also be made up of the same type of atoms. Two hydrogen atoms and one oxygen atom combine to form water. two hydrogen atoms and two oxygen atoms combine to form hydrogen peroxide,
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The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled byP = 71.7e0.0345twhere t represents the year, with t = 1 corresponding to 1971.(a) Use the model to complete the table. (Round your answers to the nearest whole number.)YearPopulation1980101240 Correct: Your answer is correct.1990142949 Correct: Your answer is correct.2000201843 Correct: Your answer is correct.2010285000 Correct: Your answer is correct.(b) According to the model, when will the population of the county reach 350,000?2018 Incorrect: Your answer is incorrect.
ANSWERS
(a) Year - Population
• 1980 - 101,240
,• 1990 - 142,949
,• 2000 - 201,843
,• 2010 - 285,000
(b) 2016
EXPLANATION
(a) The population (in thousands) each year is given by,
\(P=71.7\cdot e^{0.0345t}\)If t = 1 represents year 1971, then for each year we have to find the difference between the year and 1970.
For year 1980,
\(P=71.7\cdot e^{0.0345(1980-1970)}\approx101.240\)The population is 101,240.
For year 1990,
\(P=71.7\cdot e^{0.0345(1990-1970)}\approx142.949\)The population is 142,949.
For year 2000,
\(P=71.7\cdot e^{0.0345(2000-1970)}\approx201.843\)The population is 201,843.
For year 2010,
\(P=71.7\cdot e^{0.0345(2010-1970)}\approx285.000\)The population is 285,000.
(b) In this problem we're given the population 350,000 and we have to find in what year the county will reach that population. In other words, we have to find t and then add that to 1970 to find the year.
Let's solve for t,
\(P=71.7\cdot e^{0.0345t}\)Divide both sides by 71.7,
\(\begin{gathered} \frac{P}{71.7}=\frac{71.7}{71.7}\cdot e^{0.0345t} \\ \frac{P}{71.7}=e^{0.0345t} \end{gathered}\)Apply natural logarithm to both sides,
\(\begin{gathered} \ln \frac{P}{71.7}=\ln e^{0.0345t} \\ \ln \frac{P}{71.7}=0.0345t \end{gathered}\)Divide both sides by 0.0345,
\(\begin{gathered} \frac{\ln \frac{P}{71.7}}{0.0345}=\frac{0.0345t}{0.0345} \\ \frac{\ln\frac{P}{71.7}}{0.0345}=t \end{gathered}\)And finally replace P and solve. Remember that P is in thousands of years, so we have to replace it by 350,
\(t=\frac{\ln \frac{350}{71.7}}{0.0345}=45.955\approx46\)This is 46 years after 1970,
\(1970+46=2016\)Let's see what's the population in 2016 to check the answer,
\(P=71.7\cdot e^{0.0345(2016-1970)}\approx350.546\)It is a bit more than 350,000. But let's see what's the population in 2015,
\(P=71.7\cdot e^{0.0345(2015-1970)}\approx338.658\)In 2015 population of the county won't reach 350,000. Thus, the county will have a population of 350,000 in 2016
which two options are examples of waves refracting?
Answer: A & B
Explanation:
Took The test
some one help me pls :(
Answer: A change in regular lifestyle is required
Explanation: various things a person can do is
[1] yoga practices
[2] avoiding eating junk foods
[3] adding fresh and green veggies to your daily diet
!! i will mark as brainliest so pls answer quick !!
The student becomes negatively charged because of the friction between her socks and the carpet.
Explain why the friction causes the student to become charged
Answer:
A student becomes negatively charged because of the friction between his socks and the carpet. ... The electrons get rubbed and move towards the carpet so the carpets electrons move away and the student becomes negatively charged.
A current of 17.0mA is maintained in a single circular loop of 2.00 \mathrm{~m} circumference. A magnetic field of 0.800T is directed parallel to the plane of the loop. (b) What is the magnitude of the torque exerted by the magnetic field on the loop?
(b) The answer is that the magnitude of the torque exerted by the magnetic field on the loop is 0.
The current flowing through the loop is 17.0 milliamperes, which can be expressed as 17 × 10⁻³ amperes.
The circumference of the loop measures 2.00 meters.
The magnetic field strength applied parallel to the plane of the loop is 0.800 teslas.
The torque exerted on the loop is given by the equation:
τ = NIABSin(θ)
In this case, the loop consists of a single turn (N = 1), and the magnetic field is directed parallel to the plane of the loop (θ = 0°), so Sin(θ) = 0.
The area enclosed by the loop is A = πr², where r is the radius of the loop. The circumference of the loop is given by
C = 2πr, so we can calculate the radius as:
The radius of the loop, denoted by r, can be calculated by dividing the circumference (C) by 2π. In this case, the circumference of the loop is 2.00 meters. Therefore, the radius is approximately 0.318 meters.
τ = (1)(17 × 10⁻³ A)(0.318 m²)(0.800 T)(0) = 0
Therefore, the answer is that the magnitude of the torque exerted by the magnetic field on the loop is 0.
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{100 POINTS + Brainliest} Driving home from school one day, you spot a ball rolling out into the street (see the figure (Figure 1)). You brake for 1.00 s , slowing your 920-kg car from 16.0 m/s to 9.50 m/s.
What was the magnitude of the average force exerted on your car during braking?
What was the direction of the average force exerted on your car during braking?
How far did you travel while braking? in meters
Explanation:
According to the question ,
mass = 920kg time = 1s Initial velocity = 16m/sFinal velocity = 9.5m/sAnd we need to find out ,
Average forceAs we know that Force is the rate of change of momentum ,
\(\sf\red{\longrightarrow}\) F = ∆p/t
\(\sf\red{\longrightarrow}\) F = mv - mu/t
\(\sf\red{\longrightarrow}\) F = m(v - u)/t
\(\sf\red{\longrightarrow}\) F = 920(9.5-16)/1 N
\(\sf\red{\longrightarrow}\) F = 920 * -6.5 N
\(\sf\red{\longrightarrow}\) Force = -5980N
Direction of the force ?The direction of the force will be opposite to the direction of velocity of the car .
Distance travelled while breaking ?Using the 3rd equation of motion , we have ,
\(\sf\red{\longrightarrow}\) 2as = v² - u²
\(\sf\red{\longrightarrow}\) 2 (v-u)/t *s =(v+u)(v-u)
\(\sf\red{\longrightarrow}\) 2(t)(s) = v + u
\(\sf\red{\longrightarrow}\) 2 * 1 * s = 16 + 9.5
\(\sf\red{\longrightarrow}\) s = 25.5/2 m
\(\sf\red{\longrightarrow}\) s = 12.75 m
How does work affect energy between objects so it can cause a change in the form of energy?
A. Work transfers energy.
B. Work changes energy.
C. Work increases energy.
D. Work decreases energy.
Why are electron affinity values for the noble gases endothermic?.
Answer:
An electron added to a noble gas must go in the next higher energy level. The periodic trend for electron affinity values is not as consistent as for other trends.
Which has more momentum: a large parked car or a slow moving feather?
Answer: Slow moving feather
The parked car has 0 velocity since it is stationary. The momentum of the car is 0 because momentum = mass*velocity.
On the other hand, the feather is moving, so its velocity is some positive value. Even if it's a small velocity value and the mass of the feather is small, the two will multiply to some positive momentum which is larger than 0.
So the feather has larger momentum compared to the parked car.
This is an extension of the online assignment item 4. a 5 m long pipe with a radius of 0.25 m is open at one end and closed at the other is oriented with the open end facing down over a body of water. the pipe is slowly pushed straight down into the water until the top of the pipe is level with the surface of the water. explain any assumptions or approximations that you will make for this problem. explain what type of process this is. make sure to include what is staying constant and the reason that it is staying constant. calculate the length (l) of the air column in the tube after being submerged. calculate the work done on the gas in the pipe.
In order to solve this problem, there are a few assumptions and approximations that we will need to make:
The density of water is constant and equal to 1 g/cm^3. This is a reasonable approximation for most practical purposes, as the density of water is relatively constant over a wide range of temperatures and pressures.
The atmospheric pressure is constant and equal to 1 atm. This is also a reasonable approximation, as the atmospheric pressure at sea level is relatively constant and does not vary significantly over short distances.
The temperature of the water and the gas in the pipe is constant. This means that the temperature of the water and the gas does not change as the pipe is submerged or as the air column in the pipe changes in length.
The air in the pipe is an ideal gas, which means that it follows the ideal gas law. This means that the pressure, volume, and temperature of the gas are related by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the temperature.
The process of submerging the pipe in the water is an adiabatic process, which means that no heat is transferred to or from the gas in the pipe as the process occurs. An adiabatic process is a process in which the internal energy of a system remains constant, and no heat is transferred between the system and its surroundings.
With these assumptions and approximations in mind, we can proceed to calculate the length of the air column in the pipe after it has been submerged. The volume of the air in the pipe is given by the formula:
V = pi * r^2 * l
Where V is the volume, r is the radius of the pipe, and l is the length of the air column.
Since the volume of the gas in the pipe is constant, we can set the initial volume of the gas (V0) equal to the final volume of the gas (Vf) and solve for l:
V0 = Vf
pi * r^2 * l0 = pi * r^2 * lf
l0 / lf = 1
lf = l0
This means that the length of the air column in the pipe after it has been submerged is equal to the initial length of the air column before it was submerged.
To calculate the work done on the gas in the pipe, we can use the formula:
W = P * deltaV
Where W is the work done on the gas, P is the pressure of the gas, and deltaV is the change in volume of the gas.
Since the process is adiabatic, the pressure and temperature of the gas remain constant. Therefore, the work done on the gas is equal to zero, since there is no change in volume of the gas as the pipe is submerged.
W = P * deltaV
W = 1 atm * 0
W = 0
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A car moving to the East speeds up from rest to 8 m/s in 2 s. What is its acceleration?
to the East speeds up from rest to 8 m/s in 2 s. What is its acceleration
The acceleration of the car having velocity 8 m/s in time 2 s is 4 m/s².
What is meant by acceleration ?Acceleration of a moving body is defined as the rate of change of its velocity.
Here,
Initial velocity of the car, u = 0 since the car was at rest initially.
Final velocity of the car, v = 8 m/s
Time taken by the car, t = 2 s
Using the first equation of motion,
v = u + at
Applying the values of v, u and t,
8 = 0 + a x 2
2a = 8
Therefore,
Acceleration of the car, a = 8/2
a = 4 m/s²
Hence,
The acceleration of the car having velocity 8 m/s in time 2 s is 4 m/s².
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select three parts of a circular saw
spindle
trigger
base
handle
key
chuck
Answer:
handle, trigger, spindle
In her lab, Mrs. Smith is pulling a 28 N block across a surface with a constant speed. If
she must pull with a force of 4.0 N, what is the coefficient of sliding friction between the
block and the lab table?
Answer:
0.14 is the friction coefficient.
Explanation:
The equation for the friction coefficient is friction coefficient = force/normal force. The force is 4N, and the normal force is 28N. 4/28=0.14.
Comets are typically ?
a.) chunks of ice that begin to vaporize if they pass close to the sun.
b.) slushy mixtures of liquid and ice.
c.) gaseous bodies from which some of the gas is pushed out by the sun to form a long tail.
d.) chunks of rock that are generally a few tens of kilometers in diameter.
??? i appreciate those that help!!! <3
p.s. this subject is astronomy it just doesnt have it as a subject option nor a science option....
Answer:
the answer is a) chunks of ice that begin to vaporized if they pass close to the sun
a mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. the medium offers a damping force that is numerically equal to the instantaneous velocity. the mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. determine the time at which the mass passes through the equilibrium position. find the time at which the mass attains its extreme displacement from the equilibrium position. what is the position of the mass at this instant?
A particle is in mechanical equilibrium if the net force acting on it is zero at the moment it passes through the equilibrium position, which is t = 0.1 second. By extension, a physical system with numerous pieces is in mechanical equilibrium if there is no net force acting on any of them.
What does the scientific term equilibrium mean?In physics, a system is said to be in equilibrium when neither its internal energy state nor its state of motion tend to vary over time.
given
W = 4 pounds, K = 2 lb/ft, G = 10 m/s2 = 32 ft/s2, and (starting point above equilibrum) = 1 with a velocity of 8 ft/s.
Equation of motion is used to:
→ x(t) = (-1 + gt)
After changing the settings,
0 = (-1 + 10t)
-1 + 10t = 0
Adding "1" on both sides yields
-1 + 10t + 1 = 1\s 10t = 1\s t = = 0.1 s
A system must satisfy the three equations of equilibrium, Sum Fx = 0, Sum Fy = 0, and Sum M = 0, in order to be in equilibrium. Start with the equations for the sum of the forces. The most straightforward method to solve these force systems
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what is the maximum height reached by the ball? 400 correct: your answer is correct. ft what is the velocity of the ball when it is 384 ft above the ground on its way up? (consider up to be the positive direction.) 32 correct: your answer is correct. ft/s what is the velocity of the ball when it is 384 ft above the ground on its way down? (no response) ft/s when will the ball hit the ground? t
The primary indicator of an object's position and speed is its velocity.It is the distance that an object travels in one unit of time.The displacement of the item in one unit of time is the definition of velocity.
what is the maximum height reached by the ball?Smax = 400 feet.
c) v = 32 ft/s
c) v = - 32 ft/s
(a)
The following is the function provided for ball height:
s = 160 t - 16 t²
Therefore, we must take the derivative with respect to t and make it equal to zero in order to get the time to reach maximum height (in-flexion point):
So, 160 - 32 t = 0, 32 t = 160 t, and 160/32 t = 5 sec.
As a result, the maximum distance is covered every 5 seconds.
Smax = (160)(5) - (16)(5)²
Smax = 800 - 400
Smax=400 feet
b)First, we determine the speed at which the ball travels 384 feet.
384 = 160 t - 16 t
16 t² - 160 t + 384 = 0
Quadratic Equation Solving:
Either:
t = 6 sec
or t = 4 seconds
Since it takes 5 seconds to reach the highest point,
t then equals 5 seconds.
t then equals 4 seconds.
Now, by taking a derivative of ods with respect to t at 4 sec, we can find velocity:
v = 160 - 32 t
v = 160 - (32)(4)
v = 32 ft/s
c,Because t = 6 s > 5 s
The second number of t = 6 sec must represent the point in the ball's downward motion when it is 384 feet above the earth.
So, at that moment, velocity will be:
v = 160 - (32)(6)
v = -32 ft/s
downward motion is a bad sign.
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An FM radio station broadcasts at a frequency of 98.0 MHzMHz . Part A What inductance should be paired with a 8.00 pFpF capacitor to build a receiver circuit for this station
An inductance of approximately 20.6 microhenries should be paired with an 8.00 picofarad capacitor to build a receiver circuit for an FM radio station broadcasting at a frequency of 98.0 MHz.
f = 1/(2π√(LC))
where f is the frequency in hertz, L is the inductance in Henries, and C is the capacitance in farads.
Rearranging this formula to solve for L, we get:
L = 1/(4π²f²C)
Substituting the given values, we get:
L = 1/(4π²(98.0×10⁶)²(8.00×10⁻¹²))
L ≈ 20.6 μH
Inductance is a fundamental concept in the field of electrical engineering that describes the ability of an electrical component to store energy in a magnetic field. It is a property of a circuit element such as a coil or solenoid that causes it to oppose changes in current flowing through it.
Inductance is measured in units called henries (H), named after the physicist Joseph Henry who first discovered the phenomenon of electromagnetic induction. When current flows through an inductor, a magnetic field is created around it, and the energy stored in this field is proportional to the square of the current flowing through the inductor. Inductance is important in the design of electrical circuits because it determines how quickly the current will change in response to changes in voltage.
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the a 36 shaft is made from two segments ac has a diameter of 0.5 in and cb has a diameter of 1 in. if the shaft is fixed at its ends a and b and subjected to uniform distributed torque of 60 ln in/in along segment cb determine the absolute maximum shear stress in the shaft
The absolute maximum shear stress in the shaft is determined by the torque applied and the geometry of the segments.
To calculate the shear stress, we can use the formula: τ = (T * r) / (J * c), where τ is the shear stress, T is the torque, r is the radius, J is the polar moment of inertia, and c is the distance from the center to the outermost fiber.
In segment CB with a diameter of 1 inch, the radius (r) is 0.5 inches, and the distance to the outermost fiber (c) is 0.5 inches as well. To determine the polar moment of inertia (J) for segment CB, we can use the formula: J = π/2 * (r^4).
Substituting the given values into the formula, we have J = π/2 * (0.5^4) = 0.0491 in^4.
Now we can calculate the shear stress: τ = (60 ln in/in * 0.5 in) / (0.0491 in^4 * 0.5 in) = 244.2 psi.
Therefore, the absolute maximum shear stress in the shaft is approximately 244.2 psi.
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