The length of the string is approximately 0.2151 meters.
To find the length of the string, we can use the formula for the period of a simple pendulum:
T = 2π√(L/g)
where T is the period, L is the length of the string, and g is the acceleration due to gravity (approximately 9.81 m/s²).
First, we need to find the period for a single oscillation. Since 17 oscillations take 15.5 seconds, the period of one oscillation is:
T = 15.5 s / 17 = 0.9118 s
Now, we can rearrange the formula to solve for L:
L = (T²× g) / (4π²)
Substitute the values:
L = (0.9118² ×9.81) / (4π²)
L ≈ 0.2151 m
The length of the string is approximately 0.2151 meters.
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If a wire with current 5.0A has 12 coulombs of charge pass through it how much has passed
Answer:
2.4 secs.
Explanation:
Current (A) = Charge (coulomb)/Time(sec)
We are looking for time. So:
Time (sec) = Charge (coulomb)/Current (A)
↓
12coulombs/5.0A = 2.4 secs
Which of the following is not an essential feature of scientific explanations?
a. They must be subject to testing.
b. They strictly pertain to the physical world.
c. Their validity is judged based on objective observations.
d. Once supported by observation, they can be viewed as a fact.
Answer:
D I think I might be wrong its been a while scense I did something like that
You make yourself and your friend a cup of hot chocolate and add vanilla ice cream. You quickly enjoy yours, but your friend takes a long time to come, so you get to observe theirs as a science experiment.
In what direction does the heat flow? (2 points)
Describe how the kinetic energy of the hot chocolate changes once you add the ice cream. (2 points)
How does the kinetic energy of the ice cream change once you put it in the hot chocolate? (2 points)
What happens to the temperature of each substance? Be specific. (2 points)
When will the temperature of the ice cream and the hot chocolate stop changing? (2 points)
The answers include the following;
The direction in which the heat flows is from hot chocolate to the vanilla ice cream. The kinetic energy of the hot chocolate decreases once you add the ice cream.The kinetic energy of the ice cream increases once you put it in the hot chocolate.The temperature of each substance will exchange heat till an equilibrium is reached.The temperature of the ice cream and the hot chocolate will stop changing when there is uniformity.What is Temperature?This is referred to as the degree of hotness or coldness of a substance and it is influenced by thermal energy.
The direction in which the heat flows is from hot chocolate to the vanilla ice cream and the kinetic energy of the hot chocolate decreases once you add the ice cream.
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PLEASE HELP MEE PLEASE I BEG
Explanation: (I think)
Plug your values into the momentum equation.
So m1= 63kg
m2 = 10 kg
V1 = 12 m/s
And then plug in your values and solve for your unknown (v2)
when cesium metal is illuminated with light of wave- length 300 nm, the photoelectrons emitted have a max- imum kinetic energy of 2.23 ev. find (a) the work function of cesium and (b) the stopping potential if the incident light has a wavelength of 400 nm.
The work function of cesium is (6.63 x 10⁻¹⁹ J) - (2.23 eV x 1.6 x 10⁻¹⁹ J/eV) = 2.23 eV - 3.37 x 10⁻¹⁹ J. and the stopping potential is the difference between these two energies.
The work function of cesium can be calculated using the equation:
Work function = Energy of incident light - Maximum kinetic energy of photoelectrons.
(a) Given that the maximum kinetic energy of the photoelectrons emitted is 2.23 eV, and the incident light has a wavelength of 300 nm, we can calculate the energy of the incident light using the equation:
Energy = Planck's constant x Speed of light / Wavelength.
Substituting the values, we have:
Energy = (6.63 x 10⁻³⁴ J.s x 3 x 10⁸ m/s) / (300 x 10⁻⁹ m) = 6.63 x 10⁻¹⁹ J.
Therefore, the work function of cesium is:
Work function = (6.63 x 10⁻¹⁹ J) - (2.23 eV x 1.6 x 10⁻¹⁹ J/eV) = 2.23 eV - 3.37 x 10⁻¹⁹ J.
(b) To calculate the stopping potential, we use the equation:
Stopping potential = Energy of incident light - Work function.
Given that the incident light has a wavelength of 400 nm, we calculate the energy of the incident light using the equation:
Energy = (6.63 x 10⁻³⁴ J.s x 3 x 10⁸ m/s) / (400 x 10⁻⁹ m) = 4.97 x 10⁻¹⁹ J.
Substituting the values, we have:
Stopping potential = (4.97 x 10⁻¹⁹ J) - (2.23 eV x 1.6 x 10⁻¹⁹ J/eV) = 4.97 x 10⁻¹⁹ J - 3.37 x 10⁻¹⁹ J.
Therefore, the stopping potential is the difference between these two energies.
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Find the center of mass of the region bounded by y=9-x^2 y=5/2x , and the z-axis. Center of Mass = __?
Note: You can earn partial credit on this problem.
The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.
The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].
Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.
Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).
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the relationship between total energy and kinetic energy and potential energy is
Answer: Potential energy is energy stored in an object due to its position or arrangement. Kinetic energy is the energy of an object due to its movement its motion. Potential energy can be converted into kinetic energy, and kinetic energy can be converted into potential energy.
What was the instantaneous speed of Bear A at 5 seconds in meters/min? (No unit conversions necessary, no units required for answer).
Answer:
Answer: The answer is 40.
Explanation: There is a typo, they mean 5 minutes. Five minutes is the line between zero and 10, and the dot matches up at 5 and 200. 200 divided by 5= 40.
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Using boundary conditions of boundary layer on flate plate
for sin k parameter solution
v/ve = f(n) + G(n), n = y/s
Prove if f(n) = sin πn/2, then separations occur at λ = π²/2
If f(n) = sin(πn/2), then separations occur at λ = π²/2. In this case, separations occur when the boundary layer thickness (s) is equal to half the distance between two consecutive boundary layer separations
In the boundary layer theory for a flat plate, the velocity profile within the boundary layer can be expressed as v/ve = f(n) + G(n), where v is the local velocity, ve is the free-stream velocity, n = y/s is the non-dimensional distance from the surface of the plate (y) normalized by the boundary layer thickness (s), and f(n) and G(n) are dimensionless functions.
To determine when separations occur, we need to investigate the behavior of f(n). Given that f(n) = sin(πn/2), we can analyze its properties.
Consider the condition for flow separation, which occurs when the velocity at the surface of the plate (y = 0) becomes zero. For this to happen, sin(πn/2) must be equal to zero, which means πn/2 must be an integer multiple of π.
Hence, πn/2 = kπ, where k is an integer.
Solving for n, we have n = 2k/π.
The wavelength λ can be calculated as λ = s/n = s/ (2k/π) = πs/(2k).
To find when separations occur, we need λ = π²/2. Setting λ equal to π²/2 and solving for k, we get πs/(2k) = π²/2, which simplifies to s/k = 1/2.
This implies that separations occur when the boundary layer thickness (s) is half the distance between two consecutive boundary layer separations (k). Therefore, at λ = π²/2, separations occur.
If f(n) = sin(πn/2), then separations occur at λ = π²/2. This result is obtained by analyzing the condition for flow separation when sin(πn/2) is equal to zero. The wavelength (λ) corresponding to separations can be determined by solving for n and finding the value that satisfies the separation condition. In this case, separations occur when the boundary layer thickness (s) is equal to half the distance between two consecutive boundary layer separations.
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What would be the mass of the same object on the moon, where gravity is one sixth of Earth gravity?
Whcen the north pole is tilted toward the sun, which area has the fewest hours of daylight?.
When the north pole is tilted toward the sun, the southern hemisphere has the fewest hours of daylight due to winter season in it.
Which area has the fewest hours of daylight?When the North Pole is tilted toward the sun, the Northern Hemisphere has the most hours of daylight while on the other hand, the Southern Hemisphere has the least hours of daylight.
So we can conclude that When the north pole is tilted toward the sun, the southern hemisphere has the fewest hours of daylight due to winter season in it.
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The momentum of an object is determined to be 72 x 10kg. m/s. Express this quantity as provided or use any equivalent unit. (Note: 1 kg - 1000 g) Value
The momentum of an object is 720000 gm. m/s.
Given momentum of an object is 72 x 10kg. m/s.
Let's convert kg into grams (gm).
We know that 1 kg = 1000 gm.
So, momentum in grams (gm) = 72 × 10 × 1000 gm. m/s
Momentum = 720000 gm. m/s
Thus, the momentum of the object is 720000 gm. m/s.
Write the answer as follows:
The momentum of the object is 720000 gm. m/s
Explanation: Momentum is defined as the product of mass and velocity of an object. It is a vector quantity. Its unit is kg. m/s.
It can also be expressed in equivalent units such as gram. cm/s, newton-seconds (N.s), etc.
Conclusion: Thus, the momentum of an object is 720000 gm. m/s.
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question 6 how does the amount of dark matter in clusters of galaxies compare to the amount of visible matter? there are about equal amounts of dark matter and visible matter. there is about twice as much dark matter as visible matter. there is about 10 times as much dark matter as visible matter. there is about 50 times as much dark matter as visible matter. there is about 1000 times as much dark matter as visible matter.
There is about 10 times as much dark matter as visible matter in clusters of galaxies.
Dark matter is a form of matter that does not interact with light or other forms of electromagnetic radiation, making it invisible to telescopes and other instruments that detect light. Its presence can be inferred from its gravitational effects on visible matter, such as stars and gas, in galaxies and clusters of galaxies.
Studies of galaxy clusters have found that the amount of dark matter in these clusters is much greater than the amount of visible matter, by a factor of about 10 to 1. This means that the majority of the matter in galaxy clusters is actually dark matter, and its gravitational effects play a crucial role in shaping the structure and evolution of these cosmic structures.
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As electrons rotate about the nucleus, ? tries to cause them to fly off into space.
a. a magnetic field
b. atmospheric pressure
c. centrifugal force
d. the valence shell
Centrifugal force cause them to fly off into space.
The correct answer is option C. centrifugal force.
As electrons rotate about the nucleus, they experience a centrifugal force that tries to cause them to fly off into space. This force arises due to the fact that electrons are in constant motion around the nucleus and their movement creates a centrifugal force that pulls them away from the nucleus. However, this force is balanced by the attraction of the positively charged nucleus, which keeps the electrons in orbit. This balance between the centrifugal force and the attractive force of the nucleus determines the size and stability of the electron orbits. The centrifugal force is a key factor in the behavior of electrons in an atom and determines the stability of their orbits around the nucleus.
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What is the wavelength (in feet) of a 600 hz sound wave (assume speed of sound in air is 1125 ft/s; round to the nearest second decimal place e.g. 1.255 = 1.26)?
The wavelength (in feet) of the sound wave with a velocity of 1125 ft/s and a frequency of 600 Hz is 1.88 ft
Relation of velocity, frequency and wavelength of a waveThe velocity of a wave is related to its frequency and wavelength according to the following equation:
Velocity (v) = wavelength (λ) × frequency (f)
v = λf
How to determine the wavelength of the waveFrom the question given, the following data were obtained:
Frequency (f) = 600 HzVelocity (v) = 1125 ft/s Wavelength (λ) =?The wavelength of the wave can be obtained as follow:
v = λf
Divide both sides by f
λ = v / f
λ = 1125 / 600
λ = 1.88 ft
Thus, the wavelegth of the wave is 1.88 ft
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A person weighing 645 N climbs up a ladder to a height of 4.55 m. What is the
increase in gravitational potential energy?
Answer:
P.E = 2934.75
Explanation:
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where, P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Given the following data;
Weight =645
Height = 4.55
\( P.E = mgh\)
But we know that weight = mg = 645N
Substituting into the equation, we have;
\( P.E = 645 * 4.55 \)
\( P.E = 2934.75 J\)
Potential energy, P.E = 2934.75 Joules.
Which of the following feedbacks are definitely positive (that is, there is no uncertainty that they are positive)? [select all that apply] Laspe rate feedback Water vapor feedback Ice albedo feedback Cloud feedback Question 4 1 pts Which of these feedbacks affect the terrestrial radiation budget? [select all that apply] Lapse rate feedback Ice-albedo feedback Water vapor feedback Cloud feedback
The positive feedbacks without uncertainty are water vapor feedback. The feedbacks that affect the terrestrial radiation budget are lapse rate feedback, ice-albedo feedback, water vapor feedback, and cloud feedback.
Among the feedbacks listed, the ones that are definitely positive (without uncertainty) are: 1. Water vapor feedback: An increase in temperature leads to an increase in atmospheric water vapor content, which amplifies the greenhouse effect and further enhances warming. This feedback is positive. The feedbacks that affect the terrestrial radiation budget (the balance of incoming and outgoing radiation at the Earth's surface) are: 1. Lapse rate feedback: This feedback is related to the vertical temperature profile of the atmosphere. If the lapse rate (the rate at which temperature changes with altitude) decreases with warming, it can amplify the warming or cooling effects. It affects the radiation budget indirectly by influencing the atmospheric temperature structure. 2. Ice-albedo feedback: When temperatures rise, ice and snow cover decrease, exposing darker surfaces (such as land or ocean) that absorb more solar radiation. This leads to further warming, creating a positive feedback loop that affects the radiation budget. 3. Water vapor feedback: As mentioned earlier, an increase in temperature leads to increased atmospheric water vapor content. Water vapor is a potent greenhouse gas that affects the radiation budget by trapping outgoing longwave radiation and amplifying the greenhouse effect.b4. Cloud feedback: Changes in temperature and atmospheric moisture content can affect cloud formation and properties. Clouds can either trap heat (positive feedback) or reflect sunlight back to space (negative feedback), depending on their type, altitude, and coverage. The net effect of cloud feedback on the terrestrial radiation budget depends on the specific cloud changes in response to warming.
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A volleyball accelerates due to a constant force acting on it for 5 seconds, and it reaches a speed of 60 m/s. If the mass of the volleyball is 0.25 kg, what is the constant force?
The constant force acting on a volleyball to accelerate it to a speed of 60 m/s for 5 seconds is 75 N. The acceleration of an object is given by the following formula: a = F/m Where, a is acceleration, F is force, and m is mass.
The force required to accelerate an object is given by: F = ma
We can use the above two formulas to find the constant force acting on a volleyball with a mass of 0.25 kg, which is accelerated to a speed of 60 m/s for 5 seconds.
F = maF
= (0.25 kg) x (60 m/s ÷ 5 s)F
= (0.25 kg) x (12 m/s²)F
= 3 N x 25F
= 75 N
Therefore, the constant force acting on the volleyball is 75 N.
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how does light spectra help us understand astronomy
Answer: From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star.
Explanation: The spectral line also can tell us about any magnetic field of the star. The light from the stuff between the stars allows astronomers to study the interstellar medium.
Hope this helps! :)
The diagram represents a closed energy system consisting of air and equal masses of copper, granite, and water in a perfectly insulated container. The temperatures were taken at the time the materials were placed inside the closed system.
Q1. In the first day after the materials were placed in the system, the temperature of the water would probably ___.
Q2. As time passes, the total energy in the system will _________.
(1) In the first day after the materials were placed in the system, the temperature of the water would probably increase.
(2) As time passes, the total energy in the system will be conserved.
What is law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
Based on the law of conservation of energy, when equal masses of copper, granite, air and water are in a perfectly insulated container, there will be heat transfer from one object to another.
After several hours, all the objects in the perfectly insulated container, will attain equilibrium temperature.
The equilibrium temperature attained by the objects will be greater than the initial temperature of water, lower than the initial temperature of copper, granite, and air.
Conclusively, we would say that the temperature of water will increase in the first day after the materials were placed in the system.
As time passes, the total energy in the system will be conserved since it is a perfectly insulated container, and no heat energy will be lost.
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Siruis, the brightest star in the night sky, has a luminosity of 22. This means that Sirius: A, B, C, D QUESTION
A: developed 22 years before the sun
B: is 22 times farther from Earth than the sun
C: gives off 22 times more energy than the sun
D: is 22 times bigger in size than the sun
Answer:
i think C
Explanation:
Two negative charges are moved closer together. Write one or two sentences to describe the energy conversion that happens.
Answer:
They will repell each other so they both will give lots of energy and the situation is exothermic.
Explanation:
Got it right
As two negative charges are moved closer together, the electrostatic potential energy between them increases.
This increase in potential energy occurs because the like charges repel each other, and as they move closer, the force of repulsion becomes stronger, resulting in a higher potential energy state.
Hence, As two negative charges are moved closer together, the electrostatic potential energy between them increases.
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2000 J of heat is added to a system and 2500 J of work is done on the system. What is the change in internal energy of the system?
Answer:
The change in internal energy of the system is 500 J.
Answer:500J
Explanation:
If the x-component of velocity is 27m/s and the y-component of velocity is -23 m/s, what is the resultant vector?
Answer:
35.47 m/s
Explanation:
\(r = \sqrt{( - 23)^{2} + (27) ^{2} }\)
=35.57
which acid is dangerous between vinegar,pure water,lemon juice and milk?
Answer:
Explanation:
Oftentimes when people hear that something has a low or high pH, they worry that it is dangerous. But this is not the case, pH alone cannot tell you if a substance is dangerous or not. Anyway, bases are typically considered more dangerous than acids! But what is pH? A substances pH is simply the concentration of hydrogen ions (H+) of the material when in solution (usually water). It is a numeric (logarithmic) scale used to specify how acidic or basic an aqueous solution is and an aqueous solution is just a solution where water is the solvent.
If a mass is 1.5 m from the axis of rotation and makes one revolution in 10 seconds, what is its speed in m/s? If m = 0.1 kg and the values above still hold, what is the numerical value of the centripetal acceleration?
The speed of the mass is approximately 0.942 m/s.
The numerical value of the centripetal acceleration is approximately 0.591 m/s².
To find the speed of the mass, we need to know the circumference of the circular path it follows.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the mass is located 1.5 meters from the axis of rotation, the radius (r) is 1.5 meters.
Circumference = 2 * π * 1.5
Circumference ≈ 9.42 meters
Since the mass makes one revolution in 10 seconds, we can calculate its speed by dividing the circumference by the time taken:
Speed = Circumference / Time
Speed = 9.42 meters / 10 seconds
Speed ≈ 0.942 meters per second (m/s)
Therefore, the speed of the mass is approximately 0.942 m/s.
Now, let's calculate the centripetal acceleration.
The centripetal acceleration (ac) can be calculated using the formula:
ac = (v²) / r
Given:
m (mass) = 0.1 kg
r (radius) = 1.5 meters
v (velocity) = 0.942 m/s
Substituting the values into the formula, we can calculate the centripetal acceleration:
ac = (v²) / r
ac = (0.942 m/s)² / 1.5 meters
ac ≈ 0.591 m/s²
Therefore, the numerical value of the centripetal acceleration is approximately 0.591 m/s².
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The spring in a pinball machine has a spring constant
k
kk of
2
,
130
N
m
2,130
m
N
2, comma, 130, start fraction, start text, N, end text, divided by, start text, m, end text, end fraction.
What is the magnitude of the force required to compress this spring
4.5
cm
4.5cm4, point, 5, start text, c, m, end text?
Write your answer using two significant figures.
The magnitude of the force required to compress this spring is 0.65 N.
What is the force required to compress the spring?The force required to compress the spring is calculated as follows;
F = kx
where;
F is the applied forcek is the spring constantx is the extension of the springThe applied force is the force required to compress the spring and it is calculated as follows;
spring constant k = 130 N/m
extension of the spring = 4.5 cm - 4 cm = 0.5 cm = 0.005 m
F = 130 N/m x 0.005 m
F = 0.65 N
Thus, the magnitude of the force required to compress this spring is 0.65 N.
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Read the passage.
The moon is one-fourth the size of Earth, and the moon’s gravity is about one-sixth of Earth’s. Less gravity and no atmosphere means that objects travel farther when thrown on the moon.
Based on the information provided, what visual information would be most helpful to include with the passage?
a chart comparing the sizes of the moon and the Earth
a diagram showing how gravity affects the path of a thrown object
a photograph of a child throwing a ball for a dog to catch
a graph comparing distances traveled by objects thrown on Earth and the moon
its d
Answer:
d in my opinion is the most opitmal answer
Explanation:
aka a graph comparing distances traveled by objects thrown on Earth and the moon
Answer:
Its d
Explanation:
a graph comparing distances traveled by objects thrown on Earth and the moon
If you want to design a high efficiency wind turbine, what efficiency values is reasonable as your design goal?
The efficiency values that is reasonable If you want to design a high efficiency wind turbine is 45%
What should you now about the efficiency value of wind turbine?The efficiency of a wind turbine is the ratio of the power it generates to the power in the wind.
The theoretical maximum efficiency of a wind turbine is the Betz limit, which is 59.3%.
However, in practice, wind turbines are typically only about 35%- 45% efficient.
There are a number of factors that can affect the efficiency of a wind turbine, including the size of the turbine, the wind speed, and the design of the turbine.
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Identify and describe two changes of state that release energy.