A circular loop ( radius = 0.5 m) carries a current of 3.0 A and has unit normal vector of (2i - j +2k)/3 what is x component of the torque on this loop when it is placed in a uniform magnetic field of (2i-6j) T

Answers

Answer 1

Answer:

[tex]T=9.42Nm[/tex]

Explanation:

From the question we are told that:

Radius [tex]r= 0.5 m[/tex]

Current [tex]I= 3.0 A[/tex]

Normal vector [tex]n=\frac{(2i - j +2k)}{3}[/tex]

Magnetic field [tex]B= (2i-6j) T[/tex]

Generally the equation for Area is mathematically given by

 [tex]A=\pi r^2[/tex]

 [tex]A=3.1415 *0.5^2[/tex]

 [tex]A=0.7853 m^2[/tex]

Generally the equation for Torque is mathematically given by

 [tex]T=A(i'*B)[/tex]

Where

 [tex]i'*B= \begin{bmatrix}2&-1&2\\2&-6&0\end{bmatrix}[/tex]

 [tex]X\ component\ of\ i'*B= [(-1 * 0)-(2*-6)][/tex]

 [tex]X\ component\ of\ i'*B=12[/tex]

Therefore

 [tex]T=0.7853*12[/tex]

 [tex]T=9.42Nm[/tex]


Related Questions

what would happen to our vision if the lens of our eyes were concave? defend your answer NO LINKS!!!

Answers

If the lens of our eyes were concave, we would not be able to see. We would be blind. This is because our eyes form a visual image on the same side of the lens at the object being viewed. Thus, a concave lens would result in the visual image focusing in front of the eye, not the retina inside the eye. This would mean that no signals would be sent to the brain, and vision would not be possible.

please help i'm going to throw up from stress
Water at 20.0 °C is mixed with 120.0 g of ethyl alcohol at 10.0 °C in a thermally insulated container. If the final mixture has a temperature of 16.0 °C, how much water was added?

No links istg

Answers

Answer:

Explanation:

First of all, I used the specific heat of water as 4182 J/(kgC) and the specific heat of ethyl alcohol (EtOH) as 2440 J/(kgC); that means that we need the masses in kg, not g.

120.g = .1200 kg of ethyl alcohol. Now for the formula:

[tex]t_f=\frac{(m_{H2O}*spheat_{H2O}*temp_{H2O})+(m_{EtOH}*spheat_{EtOH}*temp_{EtOH})}{(m_{H2O}*spheat_{H2O})+(m_{EtOH}*spheat_{EtOH})}[/tex] where spheat is specific heat.

Filling that horrifying-looking formula in with some values:

[tex]16.0=\frac{(x*4182*20.0)+(.1200*2440*10.0)}{(x*4182)+(.1200*2440)}[/tex] and

[tex]16.0=\frac{83640x+2928}{4182x+292.8}[/tex] and

16(4182x + 292.8) = 83640x + 2928 and

66912x + 4684.8 = 83640x + 2928 and

1756.8 = 16728x so

x = .105 kg and the amount of water added is 105 g

Multiple Choice
Which of the following is not an example of malicious code?
A Trojan horse
B worm
C virus
D. spy gear

Answers

Answer:

D

Explanation:

Spy gear is different from Spyware.

has anyone done the science project: modeling waves/properties of light?
could you show me the format you used?

Answers

MARK BRAINLIEST

For this assignment, you will develop several models that show how light waves and mechanical waves are reflected, absorbed, or transmitted through various materials. For each model, you will write a brief description of the interaction between the wave and the material. You will also compose two typewritten paragraphs. The first will compare and contrast light waves interacting with different materials. The second will explain why materials with certain properties are well suited for particular functions.

Background Information

A wave is any disturbance that carries energy from one place to another. There are two different types of waves: mechanical and electromagnetic. A mechanical wave carries energy through matter. Energy is transferred through vibrating particles of matter. Examples of mechanical waves include ocean waves, sound waves, and seismic waves. Like a mechanical wave, an electromagnetic wave can also carry energy through matter. However, unlike a mechanical wave, an electromagnetic wave does not need particles of matter to carry energy. Examples of electromagnetic waves include microwaves, visible light, X-rays, and radiation from the Sun.

Answer:

Here the other guy is right I’m answering so he can be marked brainliest

Explanation:

PLEASE HELP URGENT!!! A 20.0 cm tall object is placed 50.0 cm in front of a convex mirror with a radius of curvature of 34.0 cm. Where will the image be located, and how tall will it be? Please show all work using the following steps...
Step 1: Find the focal length, step 2: find the image distance using the mirror equation step 3: Use the magnification relationship to find the image height.

Answers

Explanation:

1. f = r/2 = 34.0/2 = 17.0 cm

2. 1/s'= -1/f - 1/s

= -1/17 - 1/50

= (-50-17) /850

= (-67) /850

s' = 850/(-67) = - 12.69 cm

3. M = |s'/s| = |-12.69/50| = 0.25

h' = 0.25×20 = 4 cm

a solenoid has 364 coils. the flux through each changes from 2.57*10^-5 Wb to 9.44*10^-5 Wb in 0.0154s. how much EMF is generated?

Answers

Answer:

1.62

Explanation:

comment section (credits to charlizebarth)+ correct on acellus

EMF induced in coil is directly proportional to the rate of change of magnetic flux by the flowing current with n number of turns in it.The total emf generated is 1.62 volts

Given-

Total coils in a solenoid [tex]N[/tex] is 365 coils.

The change in flux is,

[tex]d\phi=9.44\times10^{-5} -2.57\times 10^{-5}[/tex]

[tex]d\phi=6.87\times10^{-5}[/tex]

The change in time [tex]dt[/tex] is 0.0154 sec.

According to Faraday's law the EMF induced in coil is directly proportional to the rate of change of magnetic flux produced in the coil by the current i flowing in it with conductor having a finite number of turns in it.This can be given as,

[tex]emf=-N\dfrac{d\phi }{dt}[/tex]

[tex]emf=-364\times \dfrac{6.87\times 10^{-5}}{0.0154}[/tex]

[tex]emf= -1.62[/tex]

Hence, the total emf generated is 1.62 volts.

For more about the EMF, follow the link below-

https://brainly.com/question/118936


To find velocity, you need to know the total:

A.distance of the motion

b.distance, time and direction of the motion

C.time of the motion

d.distance and time of the motion

Answers

Answer:

distance and time of the motion

¿Qué es la carga eléctrica de un cuerpo?

Answers

Answer:

Las células del interior son negativas, mientras que en el exterior son positivas.

Explanation:

Que tenga un buen día :)

Give one example of friction making something stay still ?

Answers

Answer:

when you kick a football it stops after sometime this is because of fiction force

Explanation:

A spring stretches 2 cm when a 10 N weight hangs on it. How far will it stretch with a weight of 20 N ?

Answers

Answer:

4cm

Explanation:

If it's a simple ratio 2cm:10N to ?cm:20N, It should be 4cm:20N.

The rubber ducky has a mass of 5 grams and a volume of 75 mL. How much water does he displace?

5 grams or 75 mL

Answers

Answer:

Volume displaced by ducky = 75 mL = 7.5 x 10⁻⁵ m³

Mass displaced by the ducky = 7.5 x 10⁻² kg = 75 grams

Explanation:

The ducky will displace the volume of the water equal to its own volume.

Volume displaced by ducky = 75 mL = 7.5 x 10⁻⁵ m³

And the mass displaced by ducky will be equal to:

Mass displaced by the ducky = (Density of Water)(Volume displaced by ducky)

Mass displaced by the ducky = (1000 kg/m³)(7.5 x 10⁻⁵ m³)

Mass displaced by the ducky = 7.5 x 10⁻² kg = 75 grams

What is the best description of the destructive interference of light?

A. The crest of one wave overlaps with the trough of another.

B. The crests of two waves intersect.

C. A longitudinal wave meets a transverse light wave.

D. A mechanical wave meets an electromagnetic wave.

Answers

Answer: The crest of one wave overlaps with the trough of another

Explanation:

I took the test and got 100%. This is the correct answer

The best description of the destructive interference of light is the crest of one wave overlaps with the trough of another.

What is destructive interference of light?

Destructive interference takes place when waves come together in such a manner that they completely cancel each other out or amplitude of the resulting wave decreased.

What is crest and trough?

The highest surface part of a wave is called the crest, and the lowest part is the trough.

To learn more about Destructive interference here

https://brainly.com/question/16098226

#SPJ2

what does the second law of throdynamics state?
A. The amount of molecular disorder in the universe will always increase
B. The amount of molecular disorder in the universe will always decrease
C. The amount of molecular disorder in the universe will stay constant.​

Answers

Answer:

A.

The second law of thermodynamics states that the total entropy of a system either increases or remains constant in any spontaneous process; it never decreases. ... This is because entropy increases for heat transfer of energy from hot to cold (Figure 12.9).

Explanation:

Hope It Helps

VAMDNVABNATNAMDTEMCYSPLDDNHNMQTYY
que es bandaaa​

Answers

Im sorry but i dont understand
De que hablas bandaaaaaa

please help asap no links

Answers

answer: the third one

Un tubo cilíndrico de acero tiene 2.4 cm3 de volumen a -20°C. ¿Cuál será su volumen con una temperatura final de 47C ? Y ¿ Cuál es su variación?

Answers

i searched this in googl.e, and there was one website, so i clicked it, and umm it was very disgusting ,,,

When vectors are added or subtracted, the net force is called the____.
Sum
Solution
Resultant
Vector quantity

Answers

Answer:

When vectors are added or subtracted, the net force is called the resultant force.

Explanation:

Hope i helped, have a nice day/night

The half-life of Cs-137 is 30.2 years. If the initial mass of the sample is 1.00 kg, how much will remain after 151 years?
A. There will be 2.000 kg left after 151 years,
B. There will be 0.031 kg left after 151 years,
C. There will be 0.500 kg left after 151 years.
D. There will be 0.062 kg left after 151 years,

Answers

Answer: Its B. There will be 0.031 kg left after 151 years,

Explanation: Im doing my assessment right now.

The half-life of Cs-137 is 30.2 years. If the initial mass of the sample is 1.00 kg, the mass remain after 151 years is 0.031 Kg.

What is Cs-137?

Caesium-137, or radiocaesium, is a radioactive isotope of caesium that is formed as one of the more common fission products by the nuclear fission of uranium-235 and other fissionable isotopes.

Cs-137 is used in medical radiation therapy devices for treating cancer.

What is half-life?

The half-life is the amount of time it takes for a given sample to lose half of the original amount or the time for radioactive substance to decay. The half-life of Cs-137 is 30.2 years.

What is decay constant?

Decay constant of radioactive substance is its probability of decay per unit time.

In this case,

Mass of sample is 1 Kg

Half-life of Cs-137 is 30.2 years

The elapsed time is 30.2 years.

This means, one half-life is elapsed, the half of sample will decay in 30.2 years. Therefore, the half of the original substance will remain in 30.2 years which is 0.500 Kg. After another 30.2 years, it will be 0.250 Kg. And after 151 years, it will be 0.031 Kg.

To learn more about Cs-137 here

https://brainly.com/question/7004414

#SPJ2

HELPPPP I HAVE A TEST TODAY AND I LITERALLY CAN'T WITH THIS
In a children’s soccer game, one of the children kicks the ball from the ground, giving it an initial velocity of 22 m/s at an angle of 62° to the horizontal. Determine the initial vertical and horizontal velocity components.

If you post links I will report u so I suggest u don't

Answers

The horizontal component of velocity is

(22 m/s) • cosine(62°).

The vertical component of velocity is

(22 m/s) • sine(62°).

These are the original components, right after the kick. As time goes on, the horizontal one doesn't change. But the vertical one gets bigger and bigger, because gravity is accelerating the ball downward.

That's the complete story of projectile motion.

Use the drop-down menu to answer the question. To increase the amount of current flowing in a circuit, how should you change the voltage if the resistance stays the same?

Answers

Answer: increase the voltage

Explanation:

Answer:

increase the voltage

Explanation:

An echo is not heard in a small room.why ? give reason

Answers

Answer:

They can't hear an echo in small room because in it the sound can't be reflected back. For an echo of a sound to be heard,the minimum distance between the source of sound and the walls of the room should be 17.2 m.

hopw it helps

The room is too small it has to be ag least 17.2 meters for the noise to bounce

Please help










asappppppp

Answers

Answer:

16.2m/s

Explanation:

Kinetic energy=1/2mass*speed squared

KE=1/2mv^2

Data,

KE=85J

M=0.65kg

V=?

85J=1/2(0.65kg)V^2

Cross multiply

2 *85=0.65V^2

Divide both sides by 0.65

170/0.65=v^2

V=✓(170/0.65)

V= 16.172m/s

First option is collect

13. Situasi yang manakah menunjukkan momentum tidak terabadi?​

Answers

Answer:

gtsidtuye5udme5ir66eisthfetewjey

Explanation:

•diamond is a great place to start and I am not sure if I can you to dear friend of the day I am not a member of thejtearhaarymrue but I think you should have all of your ideas to be a good choice if you welcome mam and happiness of the people you are not j or your own children like sw or your own children or the family and happiness of the past year and happiness and love chocolate and I love chocolate too but you are a great person to be with example of the same

Answer:

what's languae it's that?

a bike accelerates at 2m/s2 down the street when a force of 12 newtons is applied to it. what is the mass of the bike

Answers

Answer:

6 kilograms

Explanation:

force (N) = mass (kg) × acceleration (m/s²).  an object of constant mass accelerates in proportion to the force applied. If the same force is applied to two objects of different mass, the heavier object has less acceleration than the lighter object. Divide the newtons by the rate of acceleration, which will give you the mass of the object. The mass will be in kilograms, because a single newton represents the amount of force needed to move one kilogram one meter.

Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:  B

Explanation:

A laptop computer adapter has a voltage of 19 v it has a resistance of 4.0 Ω and the adapter gets warm when operating. So determine the current going through the adapter

Answers

Answer:

Current, I = 4.75 Amps

Explanation:

Given the following data;

Voltage = 19 V

Resistance = 4 Ohms

To find the current;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

Making current (I) the subject of formula, we have;

[tex] I = \frac {V}{R} [/tex]

Substituting into the formula, we have;

[tex] I = \frac {19}{4} [/tex]

Current, I = 4.75 Amps

A place that limits a wave’s motion.

Answers

Answer:

boundary

Explanation:

1
Why would you advice a person to sit rather than stand in a moving bus?​

Answers

Answer:

Standing in a moving bus may lead the person fall when the driver will apply brake.

Explanation:

According to Newton's third law of motion, there is an equal and opposite reaction to every action. When the bus is moving, the person standing is in the state of rest. The moment the driver applies brake, the bus stops. The stopping of the bus makes the person in the stationary position change in motion. Because of this force, the person may fall and collide if he is standing instead of sitting in the moving bus.

Over what period of time will be birr 500 amount to birr 900 at the rate of 8% simple interest?​

Answers

The time taken is 10 years.

What is simple interest?

The term simple interest is an interest that is charged only on the principal and not on the interest.

We have the following;

Principal =  500 birr

amount = 900 birr

rate = 8%

Interest = 900 birr - 500 birr = 400 birr

400 = 500 × 8 × T/100

400 × 100 = 500 × 8 × T

T = 400 × 100/500 × 8

T = 10 years

Learn more about simple interest:https://brainly.com/question/2793278

Answer:

10 years

Explanation:

To solve this first we have to find the simple interest.

Let us find it now.

Interest = birr 900 - birr 500

             = birr 400

Now we are having,

Amount = birr 900

Principal = birr 500

Interest = birr 400

rate = 8%

Period of time = ?

Let us use the formula to find the period of time.

Simple interest = Principal × Rate × Time ÷ 100

birr 400  = birr 500 × 8 × t ÷ 100

birr 400 × 100 = 4000t

40000 = 4000t

Divide both sides by 4000.

10 = t

Therefore, the time is 10 years.

Let me know if you have any other questions. :-)

ways by which static electric current can be produced

Answers

Answer:.....................

solar panels

Other Questions
You are going to play on a soccer team this year. What would you do to prepare yourself for theseason? HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked! Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subjects standardized test is given in the table.A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.What is the probability of earning a score of 3 or higher?0.260.360.620.66 Write the word sentence as an inequality.A number z is no less than 9. Which of the following should be included in a concluding paragraph? Check all that apply.O A call to action, proposal, or suggestion for next stepsA restatement of your thesis and main points of your essayNew angles or arguments you did not discuss in your essayAn intriguing question to keep your readers interested . Let X and Y be random variables of possible percent returns (0%, 10%, 15%, and 20%) for stock A and, with the joint probability distribution given in the Table below: Joint Probability Distribution for Random Variables X and YY ReturnX Return 0 5 10 150 0.0625 0.0625 0.0625 0.06255 0.0625 0.0625 0.0625 0.062510 0.0625 0.0625 0.0625 0.062515 0.0625 0.0625 0.0625 0.0625(a) Find the marginal probabilities.(b) Determine if X and Y are independent.(c) Find the means and variances of both X and Y. Find the area of the figure. Sides meet at right angles NO LINKS I really need help on this one. Helppppppp ASP plsssss Who is most likely the audience for this advertisement?Question 7 options:kids who like Nutellawomen who have a broken heartmen who use glue and tools and who have a broken heartwomen and men and kids who think this ad is humorous and who like Nutella A climber is ascending the face of a 500-foot high vertical cliff at 5 feet per minute. Her climbing partner is observing from 150 feet away. Find the function that describes the amount of time climbing as a function of the angle of elevation of the observers line-of-sight to the climber. Does the viewing angle ever reach 75 degrees? in the month of July on one particular day the maximum temperature in Dubai was recorded as 50 C . convert it into degree Fahrenheit Solve for the Hypotenuse of the Right Triangle in the Diagram below. C = ?, a = 5, b = 12 25144 169 13 The Dark Web is _____. Select 2 options.an international marketplace where criminals buy and sell productsan international marketplace for illegal trade onlya capitalistic marketplace for criminals and noncriminalsa network of cybercriminals organized from Europe and the USa local marketplace to trade intellectual property How did modernization affect Japan as a nation?O A.Japan's modernized citles attracted Western foreigners, who gained Influence in Japan.B.Modernization clashed with Japanese traditions, causing social and political unrest. C.There was a short-term financial boom, but soon the nation ran out of resources.O D.Modernization of Japan's Industry helpedthe country become politically and financially stronger. sine rule / trigonometry how do i answer this Write a Script about deforestation I WILL GIVE BRAINLY THANK YOUU! What is the correct meaning of the word catapult?Mounting tension between England and the colonies helped catapult Washington's rank in theContinental Army.defineimprovehamperpropelDone 1Why would you advice a person to sit rather than stand in a moving bus? Find the area of the regular polygon.The perimeter of 14 and radius of 2.5