Windmills generate electricity by transferring energy from wind to a turbine
Answers
1) The regression analysis was performed by the computer, in the output we have the coefficients we need: 0.137 and 0.240.
Therefore the equation of the least squares regression line will be:
[tex]\hat{y} = 0.137 + 0.240x[/tex]
where:
[tex]\hat{y}[/tex] = estimate of electricity production [A]
x = wind speed [mph]
2) Let's apply the previous formula to our cases:
x = 25 --> [tex]\hat{y}[/tex] = 0.137 + 0.240(25) = 6.137 A
x = 15 --> [tex]\hat{y}[/tex] = 0.137 + 0.240(15) = 3.737 A
The difference is 6.137 - 3.737 = 2.4 A
The windmill would be expected to produce 2.4 A more when the wind speeds at 25mph with respect to when the wind speeds at 15 mph.
3) The proportion of variation in electricity production explained by the linear relationship with the wind speed is given by the R-Sq value, which is 0.873.
Hence, the linear relationship between electricity production and wind speed explains the 87.3% of the variation in production.
4) The text says that the assumptions were checked. The computer performed all the calculations, finding as t-score for wind speed:
T = Coef / SE Coef = 0.240 / 0.019 = 12.63
which was converted to a p-value:
P = 0.000
Therefore, being p <0.05, the null hypothesis can be rejected and we can say that electricity production by the windmill is related to wind velocity.
Related Questions
A car drives over a hilltop that has a radius of curvature 120 m at the top of the hill. at what speed would the car be traveling when it tires just barely lose contact with the road when the car is at the top of the hill?
Answers
V^2 = Rg, where V = maximum speed, R = Radius of curvature, g = gravitational acceleration.
Substituting;
V = Sqrt (Rg) = Sqrt (120*9.81) = 34.31 m/s
The car would be traveling about 122 km/h when its tires just barely lose contact with the road at the top of a hill with a radius of curvature of 120 m.
Explanation:This problem can be solved by using the concept of centripetal force. When the car's tires barely lose contact with the road, the only force acting on it will be the gravitational force. This gravitational force, or the weight of the car, must provide the required centripetal force for the car to stay in circular motion. Hence, we equate centripetal force to the gravitational force. This sets up the equation mg = mv²/r, where m is the mass of the car, g is the acceleration due to gravity, v is the velocity, and r is the radius. Notice that the mass of the car cancels out.
Solving this equation, we calculate the velocity v as √(g×r) = √(9.8×120) ≈ 34 m/s, which is about 122 km/h. Please note that the given figure of 165 km/h seems inconsistent with the radius provided in the question and commonly accepted value for gravity. However, for a steeper curve or a higher banking angle, the speed at which the car loses contact with the road could indeed be higher.
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Which is the best example of a cycle: a turn of a wheel or a slide down a ski slope?
Answers
Final answer:
The best example of a cycle is a turn of a wheel, as it involves a repetitive motion that returns to its starting point, unlike a slide down a ski slope which is a linear motion.
Explanation:
When discussing the concept of a cycle, a turn of a wheel is the best example, as it involves a repetitive motion that returns to its starting point. As the wheel turns, each point on its circumference moves in a circular motion and eventually comes back to where it began, completing one cycle. This represents a continuous, recurring sequence over time and is often depicted in physics and other sciences when explaining rotational motions.
In contrast, a slide down a ski slope is a linear motion that does not inherently return to its starting point, thus not forming a cycle. While one may cycle up and down the slope repeatedly, the slide itself is not cyclical.
For instance, Bug B on a spinning wheel demonstrates this concept of a cycle perfectly as it continuously moves in a circle.
According to lenz's law, the magnetic field of an induced current in a conductor will
Answers
In other words: if the magnetic flux through the area enclosed by the conductor is increasing, then the direction of the induced current will be such that the magnetic field produced by this current will oppose this increasing of magnetic flux (so, the induced magnetic field will be directed in the opposite direction of the initial magnetic field).
Vice-versa, if the magnetic flux through the area enclosed by the conductor is decreasing, then the direction of the induced current will be such that the magnetic field produced by this current will oppose this decreasing of magnetic flux (so, the induced magnetic field will be directed in the same direction as the initial magnetic field).
Lenz's law states that the magnetic field produced by an induced current in a conductor opposes the change in the external magnetic field that caused the induced current. This behavior is a consequence of energy conservation and serves to maintain a constant magnetic flux through the conductor.
Lenz's Law and Induced Current
According to Lenz's law, the magnetic field of an induced current in a conductor will oppose the change that induced it. When the magnetic flux through a conductor changes, it induces an electromotive force (emf) and, consequently, a current in the conductor.
This induced current generates its own magnetic field. The direction of this induced magnetic field is such that it opposes the change in the external magnetic field that caused the induction. For instance, if the magnetic field within a loop is increasing, the induced current will flow in a direction that creates a magnetic field opposing the increase, preserving the magnetic flux.
If the original magnetic field is decreasing, the induced current will produce a magnetic field that reinforces the original field, again opposing the decrease in flux. This opposition is part of the conservation of energy, ensuring that the system does not create or destroy energy, thus preventing a perpetual motion scenario. Overall, Lenz's Law is a manifestation of the conservation laws in electromagnetism.
The energy gained by electrons as they are accelerated by an electric field is
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[tex]\Delta U = W = e \Delta V[/tex] (1)
where e is the electron charge, and [tex]\Delta V[/tex] is the potential difference between the initial and the final point of the electron, and this is equal to
[tex]\Delta V = Ed[/tex] (2)
where E is the intensity of the electric field and d is the distance covered by the electron. If we substitute (2) into (1), we find a final expression for the energy gained by the electron
[tex]\Delta U = e E d[/tex]
Which prefix is needed when naming SO3? A. tri- B. penta- C. mono- D. di-
Answers
Answer: A. tri- because the scientific name for it is 'Sulfur Trioxide', it also has a 3 in the name. Tri means 3.
Hope this helped you! ♥
Answer:
A). tri-
Explanation:
As we know that here in the given compound we have one sulfur and three oxygen atoms.
So here in this nomenclature we can say that
one = mono
two = di
three = tri
five = penta
so above are the different prefix which we will use in different cases when atoms are arranged in different numbers.
Since we have three atoms here for oxygen so the prefix must be "tri" here in this case
Velocity is the change of speed and/or direction of An object true or false
Answers
I hope this helps! :)
CHANGE of speed or direction is the object's acceleration.
Velocity is the speed and direction themselves, without change.
What is the potential energy of a 0.5 kg object sitting on a shelf that is 1.5 meters high?
Answers
=0.5 x1.5 x9.7(gravity)=7.275J
Answer:
what is the potential energy of a 5 kg apple that is sitting on a 1.5 m high tree branch
Explanation:
Four beats per second are heard when an unknown tuning fork and a 240 Hz tuning fork are struck simultaneously. This same unknown tuning fork and a 250 Hz tuning fork are struck. Six beats are heard. Its exact frequency?
Answers
fb = |f2-f1|
In this case, the frequency of unknown fork must be between 240 Hz and 250 Hz. Then,
4 = x - 240 => x = 240+4 = 244 Hz
This is true since;
6 = 250 - 244 (given in the second case).
Therefore, the unknown frequency is 244 Hz.
How many coulombs of charge are needed to produce 29.1 mol of solid zinc?
Answers
Zn (2+) + 2e (-) ------> Zn
It can be noted that 1 mole of Zn is produced by 2 Faraday of electricity.
For 29.1 moles,
Total charge required = 2*29.1 = 58.2 F
But, 1F = 96500 C
Then,
Amount of charge required = 96500*58.2 = 5,616,300 C
To produce 29.1 mol of solid zinc, approximately 2801443.5 Coulombs of charge are needed.
Explanation:To calculate the number of coulombs of charge needed to produce 29.1 mol of solid zinc, we need to use Faraday's constant, which is approximately 96485 C/mol.
Charge (in coulombs) = Faraday's constant x number of moles of substance
In this case, Charge = 96485 C/mol x 29.1 mol = 2801443.5 C.
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What is the biggest star in our solar system?
Answers
What is a half circle that extends from the north pole to the south pole?
Answers
The difference in potential between the cathode and anode of a spark plug is 14700 v. what energy does the electron give up as it passes between the electrodes? answer in units of j.
Answers
[tex]\Delta U = e \Delta V[/tex]
where
e is the electron charge
[tex]\Delta V[/tex] is the potential difference
Plugging numbers into the equation, we find that the electron gives up is
[tex]\Delta U = (1.6 \cdot 10^{-19} C)(14700 V)=2.35 \cdot 10^{-15} J[/tex]
Researchers have found that the ________ lobes of the brain are more active when we experience positive emotions, while the ________ lobes of the brain are more active when we experience negative emotions.
Answers
Answer:
Researchers have found that the left frontal lobes of the brain are more active when we experience positive emotions, while the right frontal lobes of the brain are more active when we experience negative emotions.
The frontal lobe of the brain has some functions such: movement control, behavior control, high-level mental functions and emotion control.
The frontal lobes of the brain are more active with positive emotions, and the right hemisphere is more active with negative emotions, reflecting their respective roles in emotional processing.
Explanation:Researchers have found that the frontal lobes of the brain are more active when we experience positive emotions, while the right hemisphere is more active when we experience negative emotions. The frontal lobe, involved in reasoning, motor control, emotion, and language, has been linked to the processing of positive emotions and is located in the forward part of the brain, extending back to a central sulcus. In contrast, the right hemisphere is associated with arousal and negative emotions, suggesting a lateralization effect in emotional processing.
a person standing in the ocean notices that after a wave crest passes by ten more crest pass in a time of 120s what is the frequency
Answers
[tex]f= \frac{N}{t} [/tex]
For the wave in this problem, we have 10 oscillations (because 10 crests pass through a given point in space) in a time of 120 s, therefore the frequency of the wave is
[tex]f= \frac{10}{120 s}=0.083 Hz [/tex]
Rain or snow usually falls on the leeward side of a mountain range true or false
Answers
Answer:
false
Explanation:
the atomic mass is important because?
a. it tells you the size of the atom
b.it tells you the number of electrons
Answers
The atomic mass is the most important because it tells you the number of electrons.
Hope it helped you.
-Charlie
The lowest surface temperature yet measured on anybody in the solar system is negative 200 degrees celsius occurring on
Answers
Which property of matter allows convection currents to form? Fluids rise if they are less dense than the matter around them. The molecules in solids do not vibrate very quickly. Electromagnetic waves carry energy. Liquids take the shape of their container.
Answers
If the spectrum of a star is blue shifted, which way is the star moving?
Answers
Which property of an optical telescope is associated with sharper images?
Answers
which direction will the magnetometer read for earth’s magnetic field when the satellite passes over earths equator ?
Answers
A magnetometer over the Earth's equator will detect Earth's magnetic field as a horizontal line pointing northward. As one moves west along the equator, the detected orientation of the magnetic field by the magnetometer remains constant due to the parallel nature of the magnetic field lines at this latitude.
Explanation:When a satellite equipped with a magnetometer passes directly over the Earth's equator, the primary direction the magnetometer will read for the Earth's magnetic field is horizontal and points towards the magnetic north pole. Since we are assuming the Earth's magnetic north is aligned with the geographic north pole, the magnetometer reading will be directed northward, perpendicular to the equator.
As the student or satellite moves west along the equator, the orientation of the magnetic field detected by the compass or magnetometer would not significantly change. This is because at the equator, the Earth's magnetic field lines are parallel to the Earth's surface, resulting in a compass needle aligning horizontally and pointing towards the north pole. Even while travelling, this horizontal alignment remains constant all along the equator.
Remember, magnetic field lines around a magnetic source, like Earth, follow a path from the magnetic north pole to the magnetic south pole. Also, a compass needle aligns itself with the local magnetic field lines. At the equator, these lines are parallel to the ground, dictating the needle's orientation.
How much energy from the sun actually reaches the corn answer?
Answers
Answer:
It depends upon the sunlight intensity known as ALBEDO, the amount of energy used by photosynthesis and the chemical composition of corn.
Explanation:
Albedo is a measure of the amount of light reflected from an object. Albedo is normally expressed as a decimal value representing the percentage of light reflected.
Photosynthesis, a biological process, uses the energy of sunlight to manufacture sugar, which serves as the universal food for life. Oxygen produced as a product of photosynthesis is released into the environment.
The formula for this reaction is:
6CO2 + 6H2O + sunlight energy → C6H12O6 + 6O2
• where CO2 represents carbon dioxide
• H2O represents water
• C6H12O6 represents the sugar molecules (carbohydrate)
• and O2 represents oxygen
Which element has a full valence shell of electrons
Answers
Helium , Neon , argon, xenon and radon all are noble gases and have full valence shell of electron
What are noble gases ?The noble gases (Group 18) are located in the far right of the periodic table and were previously referred to as the "inert gases" due to the fact that their filled valence shells (octets) make them extremely nonreactive.
The 18th group in the modern periodic table is of noble gases, because their outer most shell is completely filled as it have 8 electrons in the outermost shell , except helium which have 2 electrons in outermost shell ( He have only one shell )
Helium , Neon , argon, xenon and radon all are noble gases and have full valence shell of electron
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a proton is moving horizontally at 7.9 x 10^5 m/s. It passes through a vertical magnetic field that points downward. In which direction is the proton deflected by the magnetic field? A. up B. to the right of its velocity C. down D. to the left of its velocity
Answers
First, Its magnitude is proportional to the magnitude of the charge.
Second, the magnitude of the force is also proportional
Third, the magnetic force depends on the particle’s
velocity.
Fourth, we find by experiment that the magnetic force [tex]\vec{F}[/tex] does not have the same direction as the magnetic field [tex]\vec{F}[/tex] but instead is always perpendicular to both [tex]\vec{B}[/tex] and the velocity [tex]\vec{v}[/tex]
So, in a mathematical language this is given by:
[tex]\vec{F}=q\vec{v} \times \vec{B}[/tex]
So, this is a cross product. Therefore, applying the Right-hand rule:
The answer is:
D. to the left of its velocity.
Explaining this in other words:
"The force [tex]\vec{F}[/tex] is directed into the plane of the paper, so this is the direction of the proton"
Sully is riding a snowmobile on a flat, snow-covered surface with a constant velocity of 10 meters/second. The total mass of the snowmobile, including Sully, is 280 kilograms. If Sully accelerates to a velocity of 16 meters/second over 10 seconds, what’s the force exerted by the snowmobile to accelerate? Use F = ma, where . 160 N 168 N 248 N 280 N 324 N
Answers
16 - 10 = 6
6 / 10 = .6
F = 280 x .6 = 168
6 / 10 = .6 (this sign / means to divide)
F = 280 x .6 = 168
Can someone explain to me #4.
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b) Using E = mc^2, where c is the speed of light, multiplying 4.41E-29 kg by (3E8 m/s)^2 gives 3.96E-12 J of energy.
c) Since in the original equation, there is only 1 helium atom, we multiply the energy result in b) by 9.21E19 to get 3.65E8 J of energy, or 365 MJ of energy.
A humming bird feeder is tied by a rope to a tree branch. You notice that in a gentle breeze, the feeder moves back and forth 15 times in 1 minute. How long is the rope?
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A sound wave of frequency 440 hz travels at a speed of 344m/s through the air in a concert hall. how fast would a note one octave higher, 880hz travel through the same concert hall?
Answers
Since we are in the same concert all, the medium of propagation is still the same (the air), so it has not changed; therefore, the speed of the sound wave has not changed, and it is still 344 m/s.
So, the correct answer is "344 m/s".
What is the intensity of sound waves produced by a trumpet at a distance of 1.6 m when the power output of the trumpet is 0.30 w?
Answers
[tex]I= \frac{P}{A} [/tex]
For the sound wave in this problem, the power is P=0.30 W. Since a sound wave propagates radially, the area that we should use is the surface of of a sphere with radius r=1.6 m:
[tex]A=4 \pi r^2 = 4 \pi (1.6 m)^2 =32.15 m^2[/tex]
Therefore, the intensity is
[tex]I= \frac{P}{A}= \frac{0.30 W}{32.15 m^2}=9.33 \cdot 10^{-3} W/m^2 [/tex]
The intensity of the sound waves at a distance of 1.6 meters from the trumpet is approximately[tex]\( 9.325 \times 10^{-3} \)[/tex] watts per square meter.
The intensity of the sound waves produced by the trumpet at a distance of 1.6 meters is given by the formula:
[tex]\[ I = \frac{P}{A} \][/tex]
The area of a sphere is given by [tex]\( A = 4\pi r^2 \)[/tex], where r is the radius of the sphere.
Given:
- Power output of the trumpet, [tex]\( P = 0.30 \)[/tex] watts
- Distance from the trumpet, [tex]\( r = 1.6 \)[/tex] meters
First, we calculate the area A through which the sound waves are spreading at a distance of 1.6 meters:
[tex]\[ A = 4\pi r^2 = 4\pi (1.6)^2 \][/tex]
[tex]\[ A = 4\pi (2.56) \][/tex]
[tex]\[ A = 4\pi \times 2.56 \][/tex]
[tex]\[ A \ = 4 \times 3.14159 \times 2.56 \][/tex]
[tex]\[ A \ = 32.17 \][/tex]
Now, we calculate the intensity I:
[tex]\[ I = \frac{P}{A} \][/tex]
[tex]\[ I = \frac{0.30}{32.17} \][/tex]
[tex]\[ I \ = \frac{0.30}{32.17} \][/tex]
[tex]\[ I \ = 0.009325 \][/tex]
[tex]\[ I \ = 9.325 \times 10^{-3} \][/tex]
if energy is absorbed because of a chemical reaction the reaction is ____. a product, exothermic, limiting, endothermic.
Answers
If energy is absorbed because of a chemical reaction the reaction is Endothermic.
Answer: Option D
Explanation:
There are two types of chemical reaction depending upon whether the energy is absorbed or released to the surroundings. When the energy is absorbed in a reaction from the surroundings it is called as an endothermic reaction and the temperature of the surroundings gets affected.
When the opposite reaction occurs in the surroundings, it is called as an exothermic reaction. Option A and B are irrelevant to the situation here. So if the energy is absorbed because of a chemical reaction then the reaction is said to be endothermic.