A) Calculate the torque required to accelerate the Earth in 7 days from rest to its present angular speed about its axis. (b) Calculate the energy required. (c) Calculate the average power required.

Answers

Answer 1

Answer:

A) 1.3013476 × 10²⁸ N·m

b) 2.8618128 × 10²⁹ J

c) 4.73183333 × 10²³ W

Explanation:

The mass of the Earth, M = 5.972 × 10²⁴ kg

The radius of the Earth, R = 6,371 km

The angular speed of the Earth, ω = 2·π/(24 hr) = 7.27220522 × 10⁻⁵ rad/s

The shape of the Earth ≈ Spherical

The moment of inertia of a sphere, I = (2/5)·M·R²

The angular acceleration of the Earth in 7 days from rest its present angular speed, ω, is given as follows;

 α = 7.27220522 × 10⁻⁵ rad/s/((7 × 24 × 60 × 60) s) = 1.2024149 × 10⁻¹⁰ rad/s²  

Torque, τ = I × α

∴ τ = (2/5) × 5.972 × 10²⁴ × 6,731,000² × 1.2024149 × 10⁻¹⁰ = 1.3013476 × 10²⁸

The torque required, τ = 1.3013476 × 10²⁸ N·m

b) The energy required, [tex]K.E. _{(Rotational)}[/tex] = 1/2 × I × ω²

∴  [tex]K.E. _{(Rotational)}[/tex] = (1/2) × (2/5) × 5.972 × 10²⁴ × 6,731,000² × (7.27220522 × 10⁻⁵ rad/s)²

The energy required, [tex]K.E. _{(Rotational)}[/tex] = 2.8618128 × 10²⁹ J

c) Power = Energy/Time

Therefore, the average power required, P = [tex]K.E. _{(Rotational)}[/tex]/Time

∴ P = 2.8618128 × 10²⁹ J/(7 × 24 × 60 × 60) s) = 4.73183333 × 10²³ Watts

The average power required, P = 4.73183333 × 10²³ Watts.


Related Questions

Electromagnets are used in to produce a rotating magnetic field that turns a rotor.

A) TVs

B) computers

C) generators

D) motors

Answers

Answer:

A motor

Explanation:

(I'm not that good in physics but from what I know it might be motor or generator, I'm not 100% sure on this answer)

The Playground
A and G are at same height and where
skateboarder starts
E
A
G
ao oon
E
С
vai
OOHO
F
D
O meters
List in order from greatest to least the Kinetic energy from greatest to least.
Drag the boxes in the correct order
1
1
DDDDDD

Answers

How do I solve this

When studying atoms, scientists can ignore the ______ force between charged particles that make up the atoms because it is many millions of times smaller than other forces in the atom.

Gravitational
Constant
Normal
Fricitional

Answers

Answer:

Gravitational

Explanation:

When studying atoms, scientists can ignore the  gravitational force between charged particles that make up the atoms because it is many millions of times smaller than other forces in the atom.

Answer:

Gravitational

Explanation:

A seesaw is 4.0m long with a pivot at its midpoint. A boy who weighs 400N sits at a distance of 1.5m from the pivot. His sister weighs 300N. Calculate the distance at which the girl must sit if the beam is ti be balanced

Answers

Answer:

the girl must sit 2 cm from the pivot at the opposite end of the seesaw.

Explanation:

Given;

length of the seesaw, L = 4.0 m

weight of the boy, W₁ = 400 N

position of the boy from the pivot, d₁ = 1.5 m

weight of her sister, W₂ = 300 N

First, make a sketch of this information given;

                 0---0.5m---------------------Δ--------------------------4m

                         ↓<--------1.5m-------> <---------x--------->↓

                        400 N                                          300N

Apply the principle of moment about the pivot, to determine the value of x;

Sum of anticlockwise moment = sum of clockwise moment

400(1.5) = 300(x)

600 = 300x

x = 600/300

x = 2 cm

Thus, the girl must sit 2 cm from the pivot at the opposite end of the seesaw.

You are an astronomer who wants to study a faint star in the process of being born, which gives off most of its faint radiation in the infra-red. Which of the following would NOT be a step you would want to take? a. heat your telescope, so its delicate optics are not cold b. try to have your telescope as high above the layers of water vapor in the Earth's atmosphere as possible c. shield your telescope from the radiation given off by your graduate students d. isolate your telescope in very cold surroundings e. make sure your telescope optics are kept as free of dust as possible

Answers

Answer:

a. heat your telescope, so its delicate optics are not cold

Explanation:

If star is just born and giving off  faint radiation in infrared. These radiation would be long range infra red radiation as the star is just born having less surface temperature.

In order to locate the star through telescope, it must be positioned at higher altitudes so that water vapor is minimum. The radiation from other heating objects might alter the light coming through the cosmos. Therefore, it is mandatory to shield the telescope from foreign radiations.

For the same reason mentioned above the telescope must have cold surroundings. Moreover, optics of the telescope must also be kept free from dust and dirt for clear vision.

However, Heating of telescope in order to safe optics from cold must not be done. This would change the wavelength of long range infra red radiations from star and hence, its location.

Which statement is the best interpretation of the ray diagram shown?

A. A convex lens forms a larger, virtual image. B. A convex lens forms a larger, real image.
C. A convex mirror forms a larger, real image.
D. A convex mirror forms a larger, virtual image.​

Answers

Answer:

a convex lens forms a larger, virtual image

Explanation:

The ray diagram shows that a convex lens forms a larger, virtual image. So, option a is correct.

What is meant by a convex mirror?

A convex is defined as a lens in which the reflecting surface is bent inwards. It is thicker in the middle and thinner at the edges.

Here,

The convex lenses are the type of lens that can converge the beam of light coming from outside and reflect the rays and focus them on a point at the other side.

Convex lens is also known as a converging lens.

The image of the object here is formed on the opposite side of the object, so it is a virtual image that has been formed here.

The size of the image formed here is larger when compared to the size of the object. Thus larger image formed.

Thus the convex lens formed a larger and virtual image of the object here.

Hence,

The ray diagram shows that a convex lens forms a larger, virtual image. So, option a is correct.

To learn more about, convex lens, click:

https://brainly.com/question/12213784

#SPJ7

6. Why do telescopes have to have a good motorized drive system to move them quickly and smoothly? a. because the Earth is rotating, with the telescope attached to it b. because astronomers typically have to look at many objects in the sky in a few minutes c. because all objects in the sky vary in brightness very quickly d. because the telescope can then be moved out from under the clouds to where it is clear e. You can’t fool me, telescopes never move; they stay in one position all night

Answers

Answer: The correct option is A ( because the Earth is rotating, with the telescope attached to it).

Explanation:

A telescope is a device that is used mostly for viewing distant objects. It's an optical instruments as it's made up of lens and curved mirror depending on the type of telescope. The first telescope was invented by Hans Lippershey in 1608. It is used extensively in war,sea and astronomical discoveries.

Parts of a typical telescope includes:

--> the optical system: this is the most important part of a telescope. This determines the optical aperture of the telescope, how bright or how sharp the formed image would be. This can be a lens or a mirror.

--> Eyepiece: this magnifies the image formed.

--> Motorized drive system: these drive system are mounted with the telescope to aid in a quick and smooth movement while detecting, for example, celestial bodies. This part of the telescope is important as the telescope is mounted on the earth surface which rotates about its axis from west to east. Since the drive system is motorized, it can automatically move very smoothly from east to west at exactly the same rate that Earth is rotating from west to east, so it can continue to point at the object being observed.

HELP PLZZZ I will give brainliest to who ever helps me the fastest plzzzzzzzz.

Answers

Answer: space race automobiles

Explanation:

they were used in space to get to planets

resistors with value of 4 and 6 are connected in parallel to one another and the combination is connected in series to a 36 V battery. Find the current through each resistor and the power dissipated by each resistor

Answers

ymmm that should b 36

help please physics !!

Answers

Answer:

Option A. 1 bar = 1 atm

Explanation:

Pressure has various units of measurement. Each unit of measurement can be converted to other units of measurement. For example:

1 atm = 1 bar

1 atm = 760 mmHg

1 atm = 760 torr

1 atm = 1×10⁵ N/m²

1 atm = 1×10⁵ Pa

With the above conversion scale we can convert from one unit to the other.

Considering the question given above, it is evident from the coversion scale illustrated above that only option A is correct.

Thus,

1 bar = 1 atm

HELP ME PLEASE WITH MY HOMEWORK ILL GIVE BRAINLIEST

Answers

Answer:  Mass

Explanation:

A 13 ohm resistor and a 7 ohm resistor are connected in series in a circuit with a 12 volt battery. Assuming negligible internal resistance in the battery, the current in the first resistor listed will be

Answers

Answer:

0.923

Explanation:

Use the formula current equals voltage /resistance

Please, I need to finish my homework.
An object is to the left of a convex mirror. Describe the two rays needed to indicate the location and height of the image. Additionally, state what side of the mirror the image is on and whether it is real or virtual.

Answers

Answer:

mark me as the brainly plss

Unpolarized light can undergo polarization by this means off a nonmetallic surfaces.

Answers

Answer:

तिकडी एकच

Explanation:

आप सल क्ल वल दन रव दंचंबी एक गम ok plz

Stored energy and the energy of position is the definition?

Answers

Answer:

Potential energy is energy that is stored-or conserved-in an object or substance. This stored energy is based on the position, arrangement or state of the object or substance

a soccer ball is kicked and left
the ground at angle an 45° above the horizantal, moving at 25 m/s.
calculate for the:
a. hang time of the ball
b. initial horizontal velocity
c. initial vertical velocity
d. maximum height
e. the range travelled by ball​

Answers

Answer:

Explanation:

Considering that this is parabolic motion, we know that the time the ball is in the air begins the instant it leaves the ground, reaches up to its max height, and then begins falling until it reaches the ground. Duh, right? Some important things happen during this trip. There are a few things we need to know in order to even begin the problem. Parabolic motion has x and y coordinates because it is 2-dimmensional; the acceleration in the x dimension is not the same as the acceleration in the y dimension; the velocity of an object at its max height is always 0; the time it takes to reach its max height (where the max height is half the distance the object travels) is half the time it takes to make the whole trip. Yikes. That's a lot to know and much to remember! Don't you just LOVE physics!?

For a. the hang time is the time the ball was in the air. Some of that stuff we talked about above is pertinent to solving this problem. We know that the velocity of the ball is 0 at its max height, and we also know that if we find the time it takes to reach its max height, we can double that number to find how long it was in the air for the whole trip. Use the one-dimensional equation

[tex]v=v_0+at[/tex] to find out how long it took to reach the max height. Even though we don't yet know the max height, we DO know that the velocity at that point is 0. BUT before we do that, since we are working in the y-dimension only, it would behoove us (benefit us) to find the velocity particular to this dimension. We are going to answer c. first, then backtrack.

c. wants the initial vertical velocity. That is found in the magnitude of the "blanket" or generic velocity times the sin of the angle, namely:

[tex]V_y=25sin(45)[/tex] so

[tex]V_y=[/tex] 18 m/s Now we can use that as the initial upwards velocity in part a:

[tex]v=v_0+at[/tex] and filling in:

0 = 18 + (-9.8)t and

-18 = -9.8t so

t = 1.8 seconds. But remember, this is only half the time it was in the air. The whole trip, then, takes 2(1.8) which is

t = 3.6 seconds

That's a and c. Now for b:

b. asks for the x component of the velocity:

[tex]V_x=Vcos\theta[/tex] which works out to be the same as the vertical velocity, since the sin and cos of 45 degrees is the same:

[tex]V_x=25cos45[/tex] and

[tex]V_x=[/tex] 18 m/s

Onto d:

d. wants the max height. Remember, it took 1.8 seconds to get to the max height, so using yet another one-dimensional equation:

Δx = v₀t + [tex]\frac{1}{2}at^2[/tex] where Δx is the displacement, v₀ is the initial upwards velocity, a is the pull of gravity, and t is the time it takes to reach that max height (Δx, our unknown). Filling in:

Δx = [tex]18(1.8)+\frac{1}{2}(-9.8)(1.8)^2[/tex] and if you do the rounding correctly, you'll end up with this:

Δx = 32 - 16 so

the max height, Δx, is 16 meters.

e. wants the range. That translates to the distance the ball traveled. This is found in a glorified version of d = rt, where d is displacement, r is velocity, and t is...well, time (that doesn't change):

Δx = vt so

Δx = 18(3.6) remember that the ball was in the air for a total of 3.6 seconds, so

Δx = 65 meters.

Phew!!!!! That's a lot! I suggest you learn your physics or this will make you insane by the end of the course!

Answer:

3

Explanation:

1 Newton = 1,,,,,,,,​

Answers

Answer:

kg*m/2

Explanation:

hope this helps just did it

Answer:

c

Explanation:

Light refracts when it​

Answers

Are there options to choose from for this question

Two positive charges are placed near each other what happens between the charges

Answers

Answer: coll

Explanation:

Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

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Answer: coll

Explanation:

answer: B
explanation: just trust❤️

If the resistance of an electric iron is 40 and a current of 2.2 A flows
through the resistance. Find the voltage between two points. *

Answers

Answer:

88 volts

Explanation:

Ohm's law gives the formula : I = V/R

In this case, since we are solving for voltage, you simply rearrange the equation to be : V = I * R

Therefore, given the resistance and current, you just plug in the numbers.

Voltage = 40 ohms * 2.2 amperes

Voltage = 88 volts

I need help with this assignment please

Answers

Answer:

ill try

Explanation:

let me find this answer for you

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

I think the awnser is B (but don't qoute me on that)   if its right then yay but if its wrong im sorry

Explanation:

Answer:

Solution given:

frequency[f]=x

velocity[V]=15000m/s

wave length=59m

we have

wave length=[tex] \frac{V}{f} [/tex]

59m=[tex] \frac{15000}{x} [/tex]

x=[tex] \frac{15000}{59} [/tex]=254.Hz

B.254 hz

state two environmental problems caused by coal fired power stations

Answers

Answer:

Air pollution and water pollution.

Explanation:

The burning of coal causes air pollution, and coal fired power stations dump waste in large bodies of water.

There are 2 ways of collecting the sun’s energy. What are they? Give an example of each.

Answers

There are two main types of solar energy technologies photovoltaic (pv) And concentrating solar thermal power

If a car is traveling 60 miles per hour, how far will it travel in one hour?

Answers

Answer:

60 miles

I hope it's helps you

Answer:

316800 feet or 60 miles per hour

Explanation:

it is already said in the problem 60 miles per hour

Three resistors of values 2 Q, 3 Q and 5 Q are connected in series with a battery of voltage 6.0 V. Calculate the current through each of the resistors, and the current through the battery.

Answers

Answer:

Current = 0.6 A

Explanation:

Given that,

Three resistors 2 ohms, 3 ohms and 5 ohms are connected in series with a battery of voltage 6 V.

In series combination of resistors, the current through each resistor is the same while the voltage divides.

The equivalent resistance in this case is given by :

[tex]R_{eq}=R_1+R_2+....[/tex]

Put all the values,

[tex]R_{eq}=2+3+5\\\\R_{eq}=10\ \Omega[/tex]

Let I be the current. Using Ohm's law,

[tex]V=IR\\\\I=\dfrac{V}{R}\\\\I=\dfrac{6}{10}\\\\I=0.6\ A[/tex]

So, the current through each resistor and the current through the battery is equal to 0.6 A.

A car was traveling at a certain speed. It then accelerates for 5.0 s with an acceleration of 1.6 m/s2, and reaches a speed of 20 m/s. What was its initial speed?
I will give u a brainest

Answers

Answer:

12m/s

Explanation:

To find the initial speed of the car, we need to find the how much it accelerated/increased in speed and then subtract it from its final speed.

We can do this by using the equation: [tex]a=\frac{\Delta v}{t}[/tex]

Which we can rearrange to find change in velocity: [tex]\Delta v=at[/tex]

The given acceleration is 1.6m/s^2, and the time is 5s. Therefore the car's change in speed was [tex]\Delta v = (1.6)(5)\\\Delta v = 8m/s[/tex]

Since the final speed was 20m/s, we can now simply subtract the change in speed to find the initial speed:

20 - 8 = 12

The initial speed of the car was 12m/s.

Hope this helped!

2.List two changes an unbalanced force can cause.

Answers

Answer:

By applying an unbalanced force, you can change the motion of an object. Unbalanced forces can make an object at rest start moving, make a moving object stop, or change the direction and speed of the object.

Explanation:

Find the voltage across the 15 Q resistor.
[?] V

No links please

Answers

Answer:

Explanation:

same idea as before Liam,  first, find the parallel resistance in 35 || 20

(35*20)  / (35+20)  = 700 / 55  = 12.727272 ohms

now add the  12.727272 + 15 = 27.727272 ohms total resistance

V = IR

10 = I *    27.727272

10 / 27.727272 = I

0.360655 = I

V = IR  (again, but across the 15 ohm resistor)

V =     0.360655 * 15      

V = 5.4098                

1. Astronomical observatories have been available since ancient times, and many cultures set aside special sites for astronomical observations. The thing modern observatories have that was missing from these older observatories until about 1610 was: a. a dark site, where lights did not get in the way b. graduate students or other assistants for sharing the astronomer’s work c. a method of keeping good records d. a way of measuring from what general direction in the sky a beam of light was coming e. telescopes

Answers

Answer:

e telescopes

Explanation:

may i be marked brainliest?

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