How much time would it take (in seconds) for an Olympic skier to finish a 2.6 km race at
an average velocity of 28 m/s? (Hint 1 km = 1000 m & your units must match)
Answers
That's pretty simple, we have;
Total distance to be covered by olympic skier = 2.6 km = 2.6 × 1000 = 2600.0 mAverage velocity = 28 m/sWe know that;
Speed = Distance / TimeAnd..
Time = Distance/speedPut all the values;
Time = 2600/28Time = 92.85 secTherefore, the total time taken will be 92.85 sec.
Related Questions
Escriba la cantidad que representan los siguientes expresiones, dada en
notación cientifica.
a) 7.1 x 10
6) 2.3 x 103
C) 1.56 10
d) 4. 19. 4. 104
Answers
Answer:
Comencemos con la primera:
si tenemos algo como:
7.1*10^n
Simplemente lo que tenemos que hacer es:
si n es positivo, movemos n veces el punto para la derecha, si no tenemos dígitos, completamos con ceros.
si n es negativo, movemos n veces el punto a la izquierda.
a) 7.1*10
aca tenemos n = 1
entonces movemos una vez el punto a la derecha:
7.1*10 = 71. = 71
b) 2.3*10^3
aca n = 3, entonces movemos el punto 3 veces a la derecha:
2.3*10^3 = 23__.
Tenemos dos huecos ahí, los cuales serán completados con ceros, entonces:
2.3*10^3 = 2,300. = 2,300
c) 1.56*10
n = 1, entonces movemos el punto una vez a la derecha:
1.56*10 = 15.6
d) 4.10^4
acá tenemos n = 4
entonces movemos el punto 4 veces a la derecha, recordar que debemos completar con ceros:
4.10^4 = 40,000. = 40,000
PLEASE I NEED THIS TODAY!!! APR 25 23.
Most ecosystems are full of energy storage molecules that were produced using energy from the sun. Producers make storage molecules using energy from the sun, and those energy storage molecules can be passed through the ecosystems as organisms eat one another. However, not all ecosystems get direct sunlight. For example, there is very little light inside caves, yet caves can be full of life. Where do organisms in caves get their energy storage molecules? There are many different kinds of cave ecosystems, and this article shows one example.
Diagram of cave ecosystem food web.
The food web above shows where organisms in one kind of cave ecosystem get their energy storage molecules. The arrows show how the energy storage molecules move in this cave ecosystem. They point from the food to the consumer.
Image of bats hanging from cave ceiling. (Sorry couldn’t put the image).
The bats that live in this cave are fruit bats. These bats are consumers that live in the cave, but they eat fruit from trees outside the cave.
The fig tree is not in the cave, but it is still part of the cave ecosystem. Fruit bats that live in the cave leave to get fruit like the figs from the fig tree. Fig trees are producers that use energy from the sun to make energy storage molecules. The fruit bats get energy storage molecules when they eat the figs from the tree.
This cave fish is a consumer that feeds on bat droppings (poop). Even bat droppings have energy storage molecules in them. Many cave animals, like this fish, are born without eyes—it’s too dark to see, so eyes are useless where they live. Blind cave fish navigate, feed, and reproduce with enhanced senses of smell, taste, and touch.
This crawfish is a consumer. It has no eyes, but it can still catch fish to eat!
This tiny millipede is a consumer that lives in the cave and eats bat droppings.
Writing to the Econauts
Claim: Populations in the cave ecosystem can get energy storage molecules without sunlight.
After visiting a cave, Econaut Keith Yoo made the claim that populations in the cave ecosystem can get energy storage molecules without sunlight.
Write a short message to Keith and explain whether you agree with his claim or not. Be sure to use evidence from the article and the Sim in your explanation. Remember, the Econauts do not know as much about ecosystems as you do, so you should explain your ideas fully and clearly.
Answers
Thank you for sharing your observation about the cave ecosystem. I agree with your claim that populations in the cave ecosystem can get energy storage molecules without sunlight. As the article shows, producers like the fig tree can make energy storage molecules using energy from the sun outside of the cave. The fruit bats, which are consumers living in the cave, eat the figs from the tree and get energy storage molecules. Other consumers in the cave, such as the fish and the millipede, feed on bat droppings that also contain energy storage molecules.
While sunlight is an important source of energy for many ecosystems, it is not the only source. As the cave ecosystem demonstrates, energy storage molecules can be passed through the ecosystem even in the absence of direct sunlight. This is possible because the energy storage molecules are produced outside of the cave, but are still accessible to the organisms living inside the cave.
I hope this explanation helps you better understand the cave ecosystem and the ways in which energy flows through it.
Best regards,
[Your Name]
A hiker walks with an average speed of 2.6 M Square what distance in kilometers does the hiker travel in a time of 2.8 hours
Answers
Answer:
The answer is "26.208 km"
Explanation:
Given value:
\(\to S= 2.6 \ \frac{m}{s}\\\\\to t= 2.8 \ hours\)
Formula:
\(d= st\\\\d= 2.6 \times 2.8 \times \frac{60 \times 60}{1000}\\\\d= 26.208\ km\)
electromagnetic wav
Answers
Answer:
e search mo sa utak mo kasi di mo alam
WILL GIVE BRAINLEST TO CORRECT ANSWER
10 points
What is the freezing point (0 C) in K?
a.) 32 K
b.) 273 K
c.) 212 K
d.) -273 K
Answers
Answer:
B: 273 K
Explanation:
see answer.
A bubble of air of volume 1 cm^{3} is released by a deep-sea diver at a depth where the pressure is 4.0 atmospheres. Assuming its temperature remains constant (T1 = T2), what is its volume just before it reaches the surface where the pressure is 1.0 atmosphere?
Answers
The volume of the bubble just before the surface is 4 cm^3.
What is Boyle's law?As per Boyle's law,the volume of a gas at constant temperature varies inversely with the pressure exerted on it.P1V1=P2V2where , P1=pressure at the initial stageV1=volume of the initial stage
P2= pressure at the final stage
V2= volume at the final stage
How to calculate volume of the bubble just before the surface of water ?P1=4atm, V1=1cm^3, P2=1atmV2=P1V1/P2=(1×4)/1
=4cm³
Thus , we can conclude that the volume of the bubble just before the surface of water is 4cm³.
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What is the energy transformation that takes place when a jumbo-tron video screen shows an instant replay? A. electrical to light B. mechanical to electrical C. light to chemical D. thermal to sound
Answers
Answer:
A. electrical to light
Explanation:
A jumbo-tron video is a very large television that is most times fitted into walls and displayed along the main roads. It has a light-emitting display(LED) property. Energy transformation is the conversion of energy from one form to another.
The video screen just as a regular television in the house emits light, sound and heat energies. Electrical energy which flows from one end to another powers the jumbo-tron video screen and is thus converted into light, heat and sound energies.
The energy transformation that takes place when a jumbo-tron video screen shows an instant replay is electrical to light energy.
Energy transformation is the conversion of energy from one form to another.
A jumbo-tron video is an electrical appliance that requires electricity to power on. When jumbo-tron video screen shows an instant replay, this shows that the jumbo-tron has been powered on using electricity and converted to light displayed by the video screen.Hence the energy transformation that takes place when a jumbo-tron video screen shows an instant replay is electrical to light energy.
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i message definition
Answers
Answer:
ok?
Explanation:
you drive your car in a straight line at 15 m/s for 10 km, then at 25m/s for another 10 km. a) is your average speed for the entire trip more than, less than, or equal to 20 m/s ? choose the best explanation from the following: A. More time is spent driving at 15 m /s than at 25 m/s. B. The average of 15 m/s and 25 m/s is 20 m/s. C. Less time is spent driving at 15 m/s than at 25 m/s.
Answers
Answer:
The average speed for the entire trip is 18.75 m/s. How is average speed calculated?The average speed is the ratio of total length traveled to total time taken to travel that length.Thus, if then,where Sa is average speed of the traveller.WE cannot average the two speeds in conditions of equal distance. WE need equal time.Here 15 m/s for 10 km would take 666.67 seconds. and 25 m/s for another 10 km would take 400 seconds. The Total time: 1066.67 seconds. The Total distance 20 km. The average speed = 20000 m/1066.67 seconds = 18.75 m/s. If We had gone 15 m/s for the same *time* as going at 25 m/s, then we could have averaged the speeds directly. Hence, The average speed for the entire trip is 18.75 m/s. Learn more about average speed here:brainly.com/question/12322912
Explanation:
what is a synonym for motion
Answers
Answer:
there are a lot so imma just say a few movement,moving,shifting,to and from
Explanation:
Hope this helps
A set of pulleys is used to lift a bookcase. 3000 J of work was done in 60 seconds. How much power was used?
Answers
Answer:
50 Watts
Explanation:
Power = work / time = 3000J / 60 seconds
Two stars, A and B have absolute magnitudes of 5 and 7, respectively and are observed to have the same apparent magnitude. Which is further away? How many times further away is it than the other star?
Answers
Star B is further away, and it is approximately 0.398 times farther away than Star A.
To determine how many times further away it is than star A, we will follow these steps:
Step 1: Recall the distance modulus formula which relates absolute magnitude (M), apparent magnitude (m), and distance (d) in parsecs:
m - M = 5 * log10(d/10)
Step 2: Since both stars have the same apparent magnitude, let's call it 'm' for both.
We can set up two equations for the two stars:
m - 5 = 5 * log10(d_A/10)
m - 7 = 5 * log10(d_B/10)
Step 3: We want to find the ratio of the distances (d_B/d_A).
Subtract the first equation from the second to eliminate 'm':
-2 = 5 * log10(d_B/d_A) - 5 * log10(1)
Step 4: Simplify and solve for the ratio of distances:
-2/5 = log10(d_B/d_A)
\(10^{(-2/5)}\) = d_B/d_A
Step 5: Calculate the value of the ratio:
d_B/d_A ≈ 0.398
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Considering the concepts you have participated in this activity, come up with a testable question that involves objects, their mass forces acting on them, and the resulting motion
Answers
The mass of a car can significantly affect the distance it travels when subjected to a given braking force. The braking force is the force that is applied to a car's brakes to bring it to a stop.
When a car is subjected to a braking force, the force acts to slow down or stop the car's motion. The mass of the car determines how much force is needed to achieve a given deceleration.
The greater the mass of the car, the more force is required to achieve the same deceleration. This means that a car with a greater mass will travel a longer distance before coming to a stop when subjected to a given braking force, compared to a car with a lower mass.
Therefore, it is important to consider the mass of a car when designing its braking system, to ensure that it is capable of providing sufficient force to achieve the desired deceleration and stopping distance.
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Full Question: How does the mass of a car affect the distance it travels when subjected to a given braking force?
You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
Answers
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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why energy crisis may create big problem in the near future.
Answers
Answer:
Most energy crises have been caused by localized shortages, wars and market manipulation. Some have argued that government actions like tax hikes, nationalisation of energy companies, and regulation of the energy sector, shift supply and demand of energy away from its economic equilibrium.
B3 a) An 8-pole 3-phase motor is operated by a 60 Hz 3-phase source with the line voltage Vine 340V at a rotor speed N, = 850 rpm. The motor draws a line current Itine = 30A at a power factor cos() = 0.92. The developed torque 74 = 165 Nm and the loss torque is Ti = 5 Nm. Calculate: (1) The Synchronous speed in rpm and in radians per second. (II) The rotor speed w, in radians per second. I (ili) The fractional slip s. (iv) The Electrical input power Pin (v) The power transferred to the Rotor PL (vi) The developed mechanical power Pm (vii) The power lost in the Rotor resistance Pr (viii) The Power lost in the stator Pjs (ix) The Mechanical output power Pout and the mechanical power loss Pal [20 marks) (x) The Motor Efficiency.
Answers
f is the frequency of the power source in Hz (60 Hz in this case) and P is the number of poles (8 poles).
To calculate the required values, we'll use the following formulas and relationships:
(1) Synchronous speed (Ns) in rpm: Ns = (120 * f) / P
where f is the frequency of the power source in Hz (60 Hz in this case) and P is the number of poles (8 poles).
(1) Synchronous speed (Ns) in radians per second: ωs = (2π * Ns) / 60
where ωs is the synchronous speed in radians per second.
(ii) Rotor speed (ωr) in radians per second: ωr = (2π * N) / 60
where N is the rotor speed in rpm (850 rpm in this case).
(iii) Fractional slip (s): s = (Ns - N) / Ns
(iv) Electrical input power (Pin):
Pin = √3 * Vline * Iline * cos(θ)
where √3 is the square root of 3, Vline is the line voltage (340V in this case), Iline is the line current (30A in this case), and cos(θ) is the power factor (0.92 in this case).
(v) Power transferred to the rotor (PL): PL = Pin - Pr where Pr is the power lost in the rotor.
(vi) Developed mechanical power (Pm): Pm = PL - Ploss. where Ploss is the power loss torque (Ti) multiplied by the rotor speed (ωr).
(vii) Power lost in the rotor resistance (Pr): Pr = Iline^2 * Rr where Rr is the rotor resistance.
(viii) Power lost in the stator (Pjs): Pjs = Pin - PL
(ix) Mechanical output power (Pout):
Pout = 2π * Td * N / 60. where Td is the developed torque (165 Nm in this case).
(x) Motor Efficiency: Efficiency = (Pout / Pin) * 100. Now let's calculate the values:
(1) Synchronous speed (Ns):
Ns = (120 * 60) / 8 = 900 rpm
(1) Synchronous speed (ωs): ωs = (2π * Ns) / 60 = (2π * 900) / 60 = 94.247 rad/s
(ii) Rotor speed (ωr): ωr = (2π * N) / 60 = (2π * 850) / 60 = 89.539 rad/s
(iii) Fractional slip (s): s = (Ns - N) / Ns = (900 - 850) / 900 = 0.0556
(iv) Electrical input power (Pin): Pin = √3 * Vline * Iline * cos(θ) = √3 * 340 * 30 * 0.92 = 21,459.42 W
(v) Power transferred to the rotor (PL): PL = Pin - Pr. We need to calculate Pr first.
(vii) Power lost in the rotor resistance (Pr):
Pr = Iline^2 * Rr. Since we don't have the value of Rr, we can't calculate Pr.
Therefore, we cannot calculate PL, Pm, Pr, Pjs, Pout, or the motor efficiency with the given information.
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how do we know the age of the solar system so precisely?
Answers
We know the age of the solar system so precisely by Radiometric dating.
The age of the solar system is estimated to be 4.568 billion years old. This age is based on a variety of scientific evidence, including:
Radiometric dating: Radiometric dating is a method of determining the age of materials by measuring the decay of radioactive isotopes. The most common radioactive isotopes used for radiometric dating are uranium-238, potassium-40, and rubidium-87.
These isotopes decay at a known rate, and by measuring the amount of radioactive material and its decay products, scientists can calculate the age of the material.
Meteorites: Meteorites are pieces of rock that have fallen to Earth from space. They are thought to be remnants of the solar system's formation, and they can be used to date the solar system.
By measuring the composition of meteorites and comparing them to the composition of the Sun and planets, scientists can estimate the age of the solar system.
Moon rocks: The Moon is thought to have formed from a collision between the Earth and a Mars-sized object early in the solar system's history.
By studying the composition of Moon rocks, scientists can learn about the conditions that existed in the solar system at the time of the collision. This information can be used to estimate the age of the solar system.
The age of the solar system is a fundamental piece of information about our planet and its place in the universe. By understanding the age of the solar system, we can better understand how it formed and evolved. This knowledge can help us to understand the future of our planet and its place in the universe.
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gabi has plans with her friends to go to a concert on her birthday in 4 days. she is so excited that she wants to know how many seconds she has left to wait. can you help her determine this?
Answers
Answer:
Explanation:
we know there is 24hr in a day so 4 day means 24x4 hrs which is 96hrs
now 1 hr have 60 min and 1 min is 60 sec. so, 1 hr have (60sec x 60) since 60 second is 1 min and 1 hr is 60 times that.
1hr = 60x60 =3600sec.
we know 4 day have 96hrs, so if we multiply 3600 with 96 we get it in seconds.
3600x96 = 345600 seconds.
Gabi has plans with her friends to go to a concert on her birthday in 4 days. Gabi has 345,600 seconds left to wait for her birthday concert.
Gabi determines how many seconds she has left to wait for her birthday concert.
There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, to calculate the total number of seconds in 4 days:
Total Seconds = 4 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
Total Seconds = 4 × 24 × 60 × 60
Total Seconds = 345,600 seconds
Therefore, Gabi has 345,600 seconds left to wait for her birthday concert.
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A particle moving at a velocity of 4.7 m/s
in the positive r direction is given an accel-
eration of 5.4 m/s in the positive y direction
for 0.1 s.
What is the final speed of the particle?
Answers
Answer:
5.24m/s
Explanation:
Given parameters:
Initial velocity = 4.7m/s
Acceleration = 5.4m/s²
Time = 0.1s
Unknown:
Final velocity of the particle = ?
Solution:
Acceleration is the rate of change of velocity with time.
Acceleration = \(\frac{v - u}{t}\)
v is the final velocity
u is the initial velocity
t is the time taken
Now find v;
5.4 = \(\frac{v - 4.7}{0.1}\)
0.54 = v - 4.7
v = 5.24m/s
Sally has 5 bracelets and decides to wear 3 of them to school. How many ways can she choose 3 bracelets if the order she wears them in does not matter? A. 5 B. 10 C. 60 D. 120 Please select the best answer from the choices provided A B C D
Answers
Answer:
60
first choice = 1/5
second choice = 1/4
third choice = 1/3
5*4*3 = 60 the number of choices
A certain first-order reaction is 26omplete in 35 s. what are the values of the rate constant and the half-life for this process?
Answers
Without the necessary information about the initial and final concentrations, we cannot calculate the rate constant or the half-life for this reaction.
The rate constant for a first-order reaction can be determined using the equation ln(N₀/N) = kt, where N₀ is the initial concentration, N is the concentration at time t, k is the rate constant, and t is the time elapsed.
In this case, we know that the reaction is 26omplete in 35 s. To find the rate constant, we need to know the initial and final concentrations, which are not given in the question. Therefore, we cannot determine the rate constant with the information provided.
However, we can determine the half-life of the reaction. The half-life of a first-order reaction is given by the equation t₁/₂ = (ln 2)/k, where t₁/₂ is the half-life and k is the rate constant.
Since we don't have the value of k, we can't directly calculate the half-life. We need the rate constant to proceed.
In conclusion, without the necessary information about the initial and final concentrations, we cannot calculate the rate constant or the half-life for this reaction.
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Please help I’ll make u brainliest please and thank you
What is the difference between heat and temperature?
A. Heat is the transfer or thermal energy; temperature is a measurment of thermal energy
B. Heat is a measurement of thermal energy; temperature is a transfer of thermal energy
Answers
Answer: A.
Explanation: I’m pretty sure that’s it, but I’m not 100% sure. But that’s the best option.
Strength training is beneficial because it decreases your risk of injury. Which statement BEST describes why this is true? A. Muscular fitness training can prevent or improve diabetes and sarcopenia. B. Muscular fitness training increases muscle mass, which increases your metabolism. C. Muscular fitness training strengthens tendons, ligaments, and cartilage. D. Muscular fitness training improves self-image and athletic performance. Please select the best answer from the choices provided. A B C D
Answers
Answer: B. Muscular fitness training increases muscle mass, which increases your metabolism
an object of mass m and velocity 3v toward the east has a completely inelastic collision with an object of mass 2m and velocity 2v toward the north. after the collision, the momentum of the combined object has a magnitude of
Answers
The momentum of the combined object after the collision has a magnitude of 7mv.
Before the collision, the momentum of the first object (mass m, velocity 3v towards the east) can be calculated as p1 = mv, and the momentum of the second object (mass 2m, velocity 2v towards the north) can be calculated as p2 = 2mv.
Since the collision is completely inelastic, the two objects will stick together and move as one combined object after the collision.
Using the law of conservation of momentum, we can say that the total momentum before the collision (p1 + p2) must be equal to the total momentum after the collision (p').
Therefore, p1 + p2 = p'
Substituting the values we have for p1 and p2, we get:
mv + 2mv = p'
3mv = p'
So the momentum of the combined object after the collision has a magnitude of 3mv towards the east and 2mv towards the north. We can use the Pythagorean theorem to find the magnitude of the momentum:
p' = √[(3mv)² + (2mv)²]
p' = √[9m²v² + 4m²v²]
p' = √[13m²v²]
p' = 7mv
The momentum of the combined object after the completely inelastic collision between the two objects (mass m and velocity 3v towards the east, and mass 2m and velocity 2v towards the north) has a magnitude of 7mv.
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Which statements about braking a car are true?
The greater the kinetic energy of a car, the longer it takes for the car to stop.
The lower the kinetic energy of a car, the longer it takes for the car to stop.
If the speed of a car doubles, the car’s kinetic energy and braking distance quadruple.
If the speed of a car doubles, the car’s kinetic energy and braking distance remain the same.
Answers
Answer:
the first statement...
Answer:
The first answer is correct.
Plz mark brainliest.
Hope I helped.
Explanation:
calculate the nuclear binding energy per nucleon for ba135 which has a nuclear mass of 134.906 amu .
Answers
The nuclear binding energy per nucleon for Ba-135 is approximately 1.133 x \(10^{-25\)kg.
We need to convert the atomic mass from amu to kilograms (kg). The conversion factor is 1 amu = 1.66 x\(10^{-27\) kg.
Mass of Ba-135 = 134.906 amu * (1.66 x \(10^{-27\)kg/amu)
≈ 2.240 x \(10^{-25\) kg
For Ba-135, the atomic number Z is 56 (since barium has 56 protons) and the mass number A is 135.
E = (56 * 1.673 x \(10^{-27\) kg) + ((135 - 56) * 1.675 x \(10^{-27\) kg) - (2.240 x \(10^{-25\) kg)
= 93.688 x \(10^{-27\) kg + 78.525 x\(10^{-27\) kg - 22.40 x \(10^{-25\) kg
≈ 1.529 x \(10^{-23\)kg
Finally, to calculate the nuclear binding energy per nucleon (BE/A), we divide the total binding energy (E) by the number of nucleons (A).
BE/A = E / A
= (1.529 x \(10^{-23\) kg) / 135
≈ 1.133 x \(10^{-25\) kg
Binding energy refers to the energy required to hold a system together or to separate its constituents. It arises from the fundamental forces acting between particles, such as the strong nuclear force, electromagnetic force, and gravitational force. In the realm of atoms, binding energy refers to the energy needed to keep electrons in orbit around the atomic nucleus. Electrons occupy discrete energy levels, and the binding energy determines the stability of the electron configuration within an atom.
In the context of atomic nuclei, binding energy is the energy necessary to overcome the attractive forces between protons and neutrons and holds them together. The stronger the binding energy, the more stable the nucleus. The release of binding energy is the basis of nuclear power and atomic bombs.
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For the Betz limit, what is the ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor? Note: Everything goes back to fundamentals (conservation of mass; conservation of momentum; and/or conservation of energy)
Answers
The ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor, according to the Betz limit, is approximately 0.707 or 1:√2.
The Betz limit, also known as the Betz limit or Betz's law, is a fundamental principle in wind turbine aerodynamics. It states that the maximum possible energy extraction from the wind by a wind turbine is limited to 59.3% of the total kinetic energy in the wind stream.
To understand the ratio of flow areas for the stream tube encompassing the rotor at the rotor plane just upstream and downstream of the rotor, we need to consider the concept of stream tube conservation.
In wind turbine operation, a stream tube refers to the imaginary tube of air that passes through the rotor area. It is used to analyze the flow and energy extraction within the wind turbine.
According to the principle of stream tube conservation, the mass flow rate of air should be conserved between the upstream and downstream sections of the rotor plane. This means that the ratio of flow areas must be equal to the ratio of wind velocities upstream and downstream of the rotor.
Mathematically, we can express this as:
(A₁ / A₂) = (V₂ / V₁)
Where:
A₁ is the flow area just upstream of the rotor,
A₂ is the flow area just downstream of the rotor,
V₁ is the wind velocity just upstream of the rotor,
V₂ is the wind velocity just downstream of the rotor.
Now, in the case of the Betz limit, we know that the maximum possible energy extraction is 59.3% of the total kinetic energy. This means that the wind velocity just downstream of the rotor (V₂) should be reduced to 70.7% of the wind velocity just upstream of the rotor (V₁).
Using this information, the ratio of flow areas can be determined:
(A₁ / A₂) = (V₂ / V₁)
(A₁ / A₂) = 0.707
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An object is subject to a 84 Nm torque about a point when a
21 N of force is applied to a second point along the object's
length. How far apart are the two points
Answers
Answer:
d = 4[m]
Explanation:
Torque in physics is defined as the product of force by distance. This way you can use the following equation to calculate the torque.
\(T=F*d\)
where:
T = torque [N*m]
F = force [N]
d = distance [m]
Now replacing in the equation above.
\(84=21*d\\\\d= 4[m]\)
What characteristics of the solar system would have to be known or calculated in order to send a
probe to a distant planet, such as Jupiter?
a. the effects due to the light from the distant stars
b. the effects due to the air in the solar system
c. the effects due to the gravity from the other planets
d. the effects due to the cosmic microwave background radiation
Answers
Answer:
A
Explanation:
The effects due to light from distant stars
The characteristics of the solar system would have to be known or calculated in order to send a probe to a distant planet, such as Jupiter, due to the effects of the gravity from the other planets. Hence, option C is the correct answer.
When sending a probe to a distant planet, such as Jupiter, one of the critical factors that would have to be known or calculated is the effects due to the gravity from the other planets in the solar system. The gravitational interactions between the planets can significantly influence the trajectory and path of the probe during its journey. Accurate calculations are necessary to ensure that the probe's trajectory is properly planned and adjusted to reach its destination with precision. Hence, option C is the correct answer.
Learn more about gravity and planet distance here.
https://brainly.com/question/28527019
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A balloon-powered car rolls across the floor at a speed of 0.711 m/s. How long does it take to cover 8.25 m?
Answers
Answer:
Time = 11.60 seconds.
Explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
\(Speed = \frac{distance}{time}\)
Given the following data;
Speed = 0.711m/s
Distance = 8.25m
To find the time;
Making time the subject of formula, we have;
\(Time = \frac{distance}{speed}\)
Substituting into the equation, we have;
\(Time = \frac{8.25}{0.711}\)
Time = 11.60 secs.