Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 46 m from the center of rotation. The turbine rotates with a frequency of f = 11 rpm.

Required:
a. Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
b. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

Answer:30450000N

Explanation:

Mass=2030000

Acceleration=15 m/s^2

Force=mass x acceleration

Force=2030000 x 15

Force=30450000 N

The force required to accelerate the space shuttle is equal to 3.04 × 10⁷ N.

Force acting on a body can be described as the influence that can change the state of the body from motion or rest and vice versa. The S.I. unit of force can be denoted as Newton (N) and is a vector parameter.

Force has the ability to change the direction and speed of moving objects. The mathematical expression of the 2nd law of motion for force can be written as:

F = ma

Given the mass of the space shuttle, m = 2030000Kg = 2.03 × 10⁶ Kg

The acceleration of the space shuttle, a= 15 m/s²

The force needed to accelerate a space shuttle by 15 m/s² is equal to:

F = ma =  2.03 × 10⁶ × 15 = 3.04 × 10⁷ N

Therefore, the force needed to accelerate a space shuttle is 3.04 × 10⁷ N.

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Answer:

0.5

Explanation:

Answer:

0.539

Explanation:

Answer:

a)106.48 x 10⁵ kg.m²

b)144.97 x 10⁵  kgm² s⁻¹  

Explanation:

a)Given

m = 5500 kg

l = 44 m

Moment of inertia of one blade

[tex]I[/tex]= 1/3 x m l²

where m is mass of the blade

l is length of each blade.

Putting all the required values, moment of inertia of one blade will be

[tex]I[/tex]= 1/3 x 5500 x 44²  

[tex]I[/tex]= 35.49 x 10⁵ kg.m²

Moment of inertia of 3 blades

[tex]I[/tex]= 3 x 35.49 x 10⁵ kg.m²

[tex]I[/tex]= 106.48 x 10⁵ kg.m²

b) Angular momentum 'L' is given by

L =[tex]I[/tex] x ω

where,

[tex]I[/tex]= moment of inertia of turbine i.e  106.48 x 10⁵ kg.m²

ω=angular velocity =2π f

f is frequency of rotation of blade i.e  13 rpm

f = 13 rpm=>= 13 / 60 revolution per second

ω = 2π f =>  2π  x  13 / 60 rad / s

L=[tex]I[/tex] x ω =>106.48 x 10⁵ x   2π  x  13 / 60

  = 144.97 x 10⁵  kgm² s⁻¹    

Answer:

The final pressure inside the container is 107.7 atm

Explanation:

Given;

volume of the closed container =  7.20 L

mass of liquid helium in the container = 10.9 g

initial temperature of the container = 3.00 K

initial pressure of the container = 1.00 atm.

final temperature of the container = 293 K

Number of moles of He in the container = 10.9 / 4 = 2.725 moles

At 273˚K and 1 atm pressure (STP), the volume of 1 mole of a gas = 22.4 L

Volume of 2.725 moles of He at STP = 2.725 x  22.4 = 61.04 L

Volume of 2.725 moles of He at 3 K and 1 atm = (3/273) x 61.04 = 0.671 L

Thus, volume of He = 0.671 L

Volume of air in the container = 7.2 L – 0.671 L = 6.529 L

Since, the liquid helium evaporated, we only have air left in the container,

thus, final volume of the container, V₂ =  6.529 L

Initial volume of the container, V₁ = 7.20 L

Initial pressure of the in the container, P₁ = 1 atm

initial temperature of the container, T₁ = 3 K

Final temperature of the container, T₂ = 293 K

Final pressure of the container, P₂ = ?

Apply general gas law, in order to estimate P₂

[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \\\\P_2 = \frac{P_1V_1T_2}{T_1V_2} \\\\P_2 = \frac{1*7.2*293}{3* 6.529}\\\\P_2 = 107.7 \ atm[/tex]

Therefore, the final pressure inside the container is 107.7 atm

Answer:

Groups and culture helps in influencing our values,ethics and beliefs. This influence should always be questioned through the process of thinking critically.

This best summarizes the relationship between groups and culture and critical thinking.

Answer:

  λ = 0.64 10⁻⁶ m = 640 nm

Explanation:

The two reflected rays experience constructive interference, if we can see them, so we can one condition for interference, but let's see two phenomena that occur

* A ray when it is reflected by a surface of major spare part index has a phase change of 180º, these passes at the air-plastic interface

* A ray when passing a material with a refractive index changes its wavelength

       λ= λ₀ / n

taking into account these facts the condition in constructive interference is

             2 n t = (m + ½) λ

             λ= 2 n t / (m + ½)

if we suppose that we have the first inference m = 0

            λ = 2 1.6 0.5 10⁻⁶ (0 + ½)

            λ = 3.2 10⁻⁶ m

this wavelength is in the infrared

suppose an interference of m = 1

          λ = 1.6 10⁻⁶ / (1 + 1/2)

          λ = 1.06 10-6 m

m = 2

         λ = 1.6 10⁻⁶ / (2 + 1.5)

         λ = 0.64 10⁻⁶ m

this wavelength corresponds to the visible range (640 nm) orange

Answer:

The Object will immediately begin moving toward the left

Explanation:

Because the force of thirteen is greater than ten and applied to the opposite side

Answer:

Magnetic letters Screws and bolts

Explanation:Magnetic letters have to be magnetic so they can stick to things like walls and fridges. Screws and bolts are magnetic becaus they become easier to to screw onto things since the tool that you use to screw it in is also magnetic.

Answer:

File cabins and nails/screw,

Explanation:

Because they are ferromagnetic this means that they can be magnetized.  Magnetic objects are made of metal and metals do attract magnet.

Answer:

A: 1.962

B: 3.924

Explanation:

g = G *M /R^2

g = 9.807*M/R^2 the gravitational constant of ground level on earth is about 9.807

g = 9.807*5lbs/R^2 the average brick is about 5 pounds.

g = 9.807*5*10^2.   I'm assuming the height is around ten feet to help you out.

with these numbers plugged in you get an acceleration of 0.4905 a final velocity after 4 seconds 1.962. It's height fallen after 4 seconds is 3.924.

( M = whatever the brick weighs it's not specified in the question)

(R = the distance from the ground or how high the scaffold is)

(hopefully you can just plug your numbers in there hope this helps)

Answer:

distance

Explanation:

Speed is the rate of change of position expressed as distance travelled per unit of time

Answer:

b

Explanation:

The theory states that deviance results not only from what people do but also from how others respond to those actions are labeling theory. Hence, the option B is correct.

This theory states that deviance and conformity result not so much from what people do but also from how others respond. It is called labeling theory. Eg: Skipping school, and underage drinking.

It also suggests that any deviance results in how society responds to certain behaviors. It defines the behavior of human beings influenced by other members of society.

It also notes that a person is made to act in a negative way by the manner in which society identifies him. If a person is identified as a criminal then he involves in the criminal activities.

Conflict theory refers to the theory linking deviance to social inequality. Anticipating the consequences of a person's behavior is control theory.

Hence, the correct option is B) labeling theory.

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Answer:

Volcanic Eruptions

Explanation:

The volcano can start showing signs that it may be about to explode.

Answer:

Volcanic eruptions.

Explanation:

I had the same question on an assignment and I got it right.

Answer:

Check the explanation

Explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Given Information:

Number of slots = 24

Number of turns = 40

Flux per pole = 0.060 Wb

Speed of rotation of magnetic field = 1800 rev/min

Required Information:

a) Frequency = ?

b) Phase and Terminal voltage = ?

Answer:

a) Frequency = 60 Hz

b) Phase voltage = 2560 V

Terminal voltage = 4434 V

Explanation:

(a)What is the frequency of the voltage produced in this winding?

The relation between frequency of the voltage produced and the speed of rotation of magnetic field is given by

[tex]f = \frac{nP}{120}[/tex]

Where n is the speed of rotation of magnetic field and P is the number of poles in the winding.

[tex]f = \frac{1800\times 4}{120}\\\\f = \frac{7200}{120}\\\\f = 60 \: Hz[/tex]

(b)What are the resulting phase and terminal voltages of this stator?

The phase voltage is given by

[tex]E = \sqrt{2} \cdot \pi\cdot N\cdot \phi\cdot f[/tex]

Where N is the number of turns, Ф is the flux per pole and f is the frequency calculated in part a.

[tex]E = \sqrt{2} \cdot \pi\cdot 40\cdot \ 0.060\cdot 60\\\\E = 639.77\\\\E = 640 \:V\\\[/tex]

There are total 24 slots so each phase has 24/3 = 8 slots

We know that the number of poles are 4 so that means each phase has 4 sets of coils.

So the voltage in each phase is

Vp = 4*640

Vp = 2560 V

Since it is a Y-connected machine, The terminal voltage is will be

[tex]V_T = \sqrt{3} V_p\\\\V_T = \sqrt{3} \cdot2560\\\\V_T = 4434 \: V\\\\[/tex]

Answer:electric current can be generated by moving a metal wire through a magnetic field .electric current can also be produced by batteries

Explanation:

electric current can be generated by moving a metal wire through a magnetic field.this method is applicable in electric generators.

Electric current can also be generated by connecting metal wires to batteries.

Answer:

Question 1: 189 joules

Question 2: 2.25 watts

Question 3: 405 joules

Question 4: 0.00125 watts

Question 5: 450000 joules

Explanation:

question 1:

Volt=1.5v

Resistance =5 ohms

Time=7 minutes

Time=7 x 60

Time=420 seconds

Current =voltage ➗ resistance

Current =1.5 ➗ 5

Current =0.3 amps

Energy=current x voltage x time

Energy=0.3 x 1.5 x 420

Energy =189 joules

Question 2:

Current =0.5 amps

Voltage =4.5v

Power=current x voltage

Power=0.5 x 4.5

Power=2.25 watts

Question 3:

Current=0.5 amps

Voltage=4.5v

Time =3 minutes

Time =3x60

Time =180 seconds

Energy=current x voltage x time

Energy=0.5 x 4.5 x 180

Energy =405 joules

Question 4:

Resistance=50 ohms

Current =5 milliamps

Current =5/1000

Current =0.005 amps

Power =current x current x resistance

Power=0.005 x 0.005 x 50

Power=0.00125 watts

Question 5:

Power =50 watts

Time=2.5 hour

Time=2.5 x 60 x 60

Time =9000 seconds

Energy=power x time

Energy=50x9000

Energy=450000 joules

Answer:

Electron

Explanation:

Because electron are not hadrons so electron are not affected by strong force

Particles that can not be affected by strong forces are electrons.

Electrons are the rotating material around the nucleus of an atomic element in orbit.

Atoms have electrostatic energy between their electrons. This force is not broken by a force as strong as nuclear power.

Strong force is a fundamental interaction of nature that acts between subatomic particles of matter.

There are four basic forces in nature:

Therefore, particles that are unaffected by strong force are electrons.

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Answer:

Answer: the true statement form the given statements is “the athletes is not doing any work because he does not move weight”

Explanation:

The athlete isn’t doing any work because he doesn’t move the weight is the correct statement.

Here ,

Hence there is no work done by the athlete

Therefore ,The athlete isn’t doing any work because he doesn’t move the weight is the correct statement

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Answer:

[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]

Explanation:

To find the equation of the wave you use the general equation for a wave, given by:

[tex]f(x)=Acos(k x-\omega t)[/tex]

A: amplitude of the wave = 0.075m

k: wave number

you select a cosine function because for x=0 and t= 0 you get a maximum displacement.

To find the displacement of the wave for x=0 you can consider that the form of the wave is independent of time t.

Then, you calculate k:

[tex]k=\frac{\omega}{v}=\frac{2\pi f}{v}[/tex]

Thus, you need the value of the speed of the wave (you only have the frequency f), in order to calculate f(x), for x=3.00m:

[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]

Answer:0.2 m/s^2

Explanation:

mass=18.15kg

Force=3.63N

Acceleration=force ➗ mass

Acceleration=3.63 ➗ 18.15

Acceleration=0.2 m/s^2

A girl pushes a wagon of mass 18.15 kg with a force of 3.63 N, so the acceleration of the wagon will be 0.2 m/s².

In mechanics, acceleration is the measure of how rapidly an object's velocity changes over time. Accelerations as a vector quantity. An object's acceleration depends on the direction of the net force exerted on it.

A vector quantity, acceleration, is something that has both a magnitude and a direction. As a vector quantity, velocity is also. The ratio of the velocity vector change over a time interval to that interval is the definition of acceleration.

Mass, m =18.15 kg

Force, f = 3.63 N

Force = m × a

a= f / m

a =3.63 / 18.15

a = 0.2 m/s²

Hence, the acceleration of the wagon will be 0.2 m/s².

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Answer:

No. Potatoes will be warmer.

Explanation:

[tex]Q=m\times c\times \Delta T[/tex]

where,

Q = heat taken

m = mass of substance

c = specific heat of substance = ?

ΔT = change in temperature

As we are given that the potatoes have a specific heat of 3430 J/(kg⋅∘C) and raisins have a specific heat of  1630 J/(kg⋅∘C). It implies that substance take more heat when higher the value of specific heat i.e more warmer will be the substance. Thus, the potatoes will be more warmer as compared to raisins.

Therefore, No. Potatoes will be warmer.

Answer:

We shall consider two properties:

1. Temperature difference

2. Thermal conductivity of the material

Use a cylindrical rod of a given material (say steel) which is insulated around its circumference.

One end of the rod is dipped in a large reservoir of water at 100 deg.C and the other end is dipped in water (with known volume) at 40 deg. C. The cold water if stored in a cylinder which is insulated on all sides. A thermometer reads the temperature of the cold water as a function of time.

This experiment will show that

(a) heat flows from a region of high temperature to a region of lower temperature.

(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.

(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different.

Explanation:

Answer:

A fan pushes hot air out of a vent and into a room. The hot air displaces cold air in the room, causing the cold air to move closer to the floor.

The hot air displacing the cold air is an example of  transfer by

Explanation:

Answer:

The correct answer is The plates smash together with no subduction. I just took this on Edge. Glad I could help!

The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction

For better understanding let's explain what the answer means

From the above we can therefore say that the answer The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction, is correct

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Answer:

Eclipses of the Sun and Moon are best explained by the revolution of Earth and the Moon around the Sun.

Explanation:

An eclipse is the covering of a star by another celestial body.  In everyday language, an eclipse usually means a solar or lunar eclipse.

When the sun, moon and earth are aligned (in this order), the sun is covered by the moon when viewed from a place on earth. The sunlight will then no longer reach the earth. In other words, part of the earth has been eclipsed by the moon. This is referred to as a solar eclipse.

If the earth is between the sun and the moon, and thereby prevents sunlight from reaching the moon, then there is a lunar eclipse. After all, seen from the moon, the earth covers the sun. The moon is then eclipsed by the earth.

Answer:

According to the second law of thermodynamics, we are unable to use the heat of the ocean and the atmosphere because we do not have a reservoir that has a temperature lower than the ocean or the atmosphere.

Explanation:

As you already know, the ocean and atmosphere have a lot of thermal energy, however, we are unable to convert this energy into mechanical energy that would be useful for our activities. This can be explained by the second law of thermodynamics, since it states that the presence of two bodies with different temperatures is necessary for it to be possible to transform heat into work.

In this case, to transform the thermal energy of the ocean and the atmosphere into mechanical energy we would need the existence of a thermal motor, which is only possible to be established when there is a body with high thermal energy and a sink, a reservoir, with low thermal energy, which will be the place where the heat will be expelled, to be converted into work. We do not have a reservoir with less thermal energy than the ocean and the atmosphere, so we cannot use their energy.

Answer:0.00125 watts

Explanation:

resistance=50 ohms

Current=5 milliamps

Current=5/1000 amps

Current=0.005 amps

Power=(current)^2 x (resistance)

Power=(0.005)^2 x 50

Power=0.000025 x 50

Power=0.00125 watts

Answer:

if a circuit is powered by 100v and has an overall resistance of 50 ohms 2 amps flows through the circuit

Explanation: