A wheel initially rotating at 12 rad/s decelerates uniformly to rest in 0.4 s. If the wheel has a rotational inertia of 0.5 kg.m², what is the magnitude of the torque causing this deceleration? (A) 1.5 N.m (B) 15 N.m (C) 30 Nm (D) 38 Nm​

Answers

Answer 1

Answer:

(B) 15 N.m

Explanation:

The deceleration of the wheel is first found by using the following formula:

[tex]\alpha = \frac{\omega_f - \omega_i}{t}[/tex]

where,

α = angular acceleration = ?

ωf = final angular speed = 0 rad/s

ωi = initial angular speed = 12 rad/s

t = time = 0.4 s

Therefore,

[tex]\alpha = \frac{0\ rad/s - 12\ rad/s}{0.4\ s}\\\\\alpha = -30\ rad/s^2[/tex]

here, the negative sign shows deceleration.

Now, we find the torque responsible for this deceleration:

[tex]\tau = I\alpha[/tex]

where,

τ = torque = ?

I = rotational inertia = 0.5 kg.m²

Therefore,

[tex]\tau = (0.5\ kg.m^2)(30\ rad/s^2)\\[/tex]

τ = 15 N.m

Therefore, the correct answer is:

(B) 15 N.m


Related Questions

the distance and direction between starting and ending positions​

Answers

Answer:

The length traveled by an object moving in any direction or even changing direction is called distance. The location of an object in a frame of reference is called position. For straight line motion, positions can be shown using a number line. The separation between original and final position is called displacement

Explanation:

good luck

when he drove home his car broke down it wasnt due to a problem with the wheels it was the?

Answers

it would have to be the engine
Engine. As that is what powers the car.

What are the units of radiation?

Answers

The radiation dose absorbed by a person is measured using the conventional unit rad or the SI unit gray. The biological risk of exposure to radiation is measured using the conventional unit rem or the SI unit sievert.

I hope this helps!

speed of light in air is 3 x 10 m/s, determine the speed of light in the glass fibre.

Answers

30 speed of light in the glass

Un avión despega a las 2:00 p.M en un vuelo de 2500 millas. El avión llega a su destino a las 7:30 p.M. Explicar por qué hay el menos dos momentos durante el vuelo en los que la velocidad del avión es de 400 millas por hora.

Answers

Answer:

Por lo tanto, cuando la velocidad promedio del avión es mayor que la velocidad de vuelo posible dada, entonces es posible tener dos puntos durante el vuelo cuando la velocidad es la de la velocidad dada

Explanation:

La hora de despegue del avión, t₁ = 2:00 p.m.

La distancia del vuelo que viaja el avión = 2,500 millas

La hora de llegada del avión al destino, t₂ = 7:30 p.m.

El tiempo de vuelo, Δt = t₂ - t₁

Por lo tanto, Δt = 7:30 - 2:00 = 5 horas 30 minutos = 5,5 horas

La velocidad media del avión,[tex]v_{ave}[/tex] = (Distancia total) / (Tiempo total)

= 2,500 millas / (5,5 horas) = 454. millas por hora

La velocidad promedio se puede encontrar también sumando velocidades individuales y dividiendo el resultado por el número de velocidades sumadas en la suma

Por ejemplo, tenemos;

∴ [tex]v_{ave}[/tex] = (v₁ + v₂ + v₃ )/3

Si durante el vuelo horizontal directo, la velocidad máxima, v₃ = 509 millas por hora, y v₁ y v₂ son puntos donde el avión se mueve en ángulo con la horizontal y, por lo tanto, velocidad horizontal reducida, entonces tenemos;

En el camino hacia arriba sobre una nube con velocidad horizontal v₁

454.[tex]\overline{54}[/tex] = (v₁ + 509)/2

2 × 454.[tex]\overline{54}[/tex]  - 509 =  400.[tex]\overline{09}[/tex] = v₁

∴ v₁ = 400.[tex]\overline{09}[/tex] mph ≈ 400 mph

De manera similar, en el camino de regreso a la elevación del vuelo, tenemos v₂ = 400.[tex]\overline{09}[/tex] mph ≈ 400 mph

Por lo tanto, cuando la velocidad promedio del avión es mayor que la velocidad de vuelo posible dada, entonces es posible tener dos puntos durante el vuelo cuando la velocidad es la de la velocidad dada.

Kara started a new exercise program. Kara’s sister works out with her on a regular basis and even talks to Kara about her progress. In this scenario, what is another name for Kara’s sister?
A.
goal-setter
B.
self-monitor
C.
support system
D.
nutritionist

Answers

A. goal setter or C. support system
Answers is B ,,,,,,,,,,,,

PLS HELP, WILL GIVE BRAINLIEST
what is the right part of a chemical equation called?
2H2 + O2 ---> 2H2O(what is this part called)
a. chemical equation
b. products
c. reactants
d. yields

Answers

Answer:

I'm pretty sure its product.

Explanation:

Hope this helps and have a wonderful day!!!!

Most metallic elements, such as copper
and iron, have high melting points. This
is a useful property because

F. it keeps cars made of metal from
becoming hot on summer days

G. it enables people to use pots and pans
made of metal to cook food

H. it prevents machine parts made of
metal from rusting

J. it makes metals easier to melt so they
can be poured into molds to make
precision tools

Answers

Answer:

G. it enables people to use pots and pans made of metal to cook food

Explanation:

Metals are known to be substances with a relative high melting point, which means that it takes a very high temperature to melt them. As used in this question, copper (Cu) and iron (Fe) at metallic elements that have high melting points.

One advantage of this property based on the options provided is that "it enables people to use pots and pans made of metal to cook food". This is because cooking food requires subjecting them to a constant temperature from a heat source e.g cooker or stove.

The material used to hold the food being cooked must possess a very high melting point to withstand the heat, hence, the importance of these metallic substances. Most pots and pans are made of steel, an alloy of iron, hence, they have high melting point.

Objects 1 and 2 attract each other with a electrostatic force

of 36.0 units. If the distance separating Objects 1 and 2 is

changed to one-half the original value (i.e., halved), then the

new electrostatic force will be units.

Answers

Answer:

F = 144 units

Explanation:

For this exercise we use coulomb's law, for the initial conditions

           F₀ = [tex]k \frac{q_1q_2}{r_o^2}[/tex]

indicate that the force F₀ = 36.0 units and the distance is reduced to r = r₀/2 which is the new force

          F = [tex]k \frac{ q_1q_2 }{(r_o/2)^2}[/tex]

           

we substitute

          F = 4 [tex]k \frac{q_1q_2}{r_o^2}[/tex]

          F = 4 F₀

we calculate

          F = 4 36

          F = 144 units

What is the unit for efficiency?
What is the biggest number the
efficiency can be?
How do you work out the % efficiency?

Answers

Answer:

Efficiency has no physical units  (example   .85 = 85%)

The largest number would be 1 or 100%

An example of efficiency is:  work out/work in

or (work in - work lost to friction) / work in    would be an example of the efficiency of the process

what is the microcoulomb if the coulomb is 1,00​

Answers

Answer:

Coulomb = 100

Micro coulomb = 100 × 10^-6 = 10^-4 coulomb

can u get this right?

Answers

i think it’s probably d

Newton's Third Law of Motion relates to action and reaction. Which of the following
scenarios accurately names the correct action and reaction pair to apply to Newton's
Third Law?

A) An arrow hitting a tree (action) after being launched (reaction)
B)
A car accelerating forward (action) after the driver pushes the acceleration
pedal (reaction)
C) A skateboard moving (action) after being pushed (reaction)
D)
An ax being used to hit wood (action) and the wood splitting after being hit
by the ax (reaction)

Answers

Answer:

An ax being used to hit wood (action) and the wood splitting after being hit

by the ax (reaction)

Explanation:

Answer:

d

Explanation:

Water in a tank which is positioned 5 feet above the ground is _____ potential energy? (answers would be like thermal, electric, mechanical)

Answers

Answer:

Mechanical

Explanation:

The tank is at rest. And energy of any substance at rest is known as potential energy.

Now, in forms of energy, potential energy is a type of mechanical energy.

Thus, the correct option is mechanical Energy.

A 0.547 kg pizza is thrown straight up in the air. At a height of 2.30 m above the surface of the earth it has a speed of 5.00 m/s. Calculate the total mechanical energy of the pizza crust.

Answers

Answer:

The total mechanical energy of the pizza crust is 19.2 J.

Explanation:

Mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:

Potential energy + kinetic energy = total mechanical energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed.

Kinetic energy is represented by the following formula:

Ec = ½ *m*v²

Where Ec is kinetic energy, which is measured in Joules (J), m is mass measured in kilograms (kg), and v is velocity measured in meters over seconds (m / s).

In this case:

m=0.547 kgv= 5 m/s

Replacing:

Ec = ½ *0.547 kg*(5 m/s)²

and solving you get:

Ec= 6.8375 J

On the other hand, potential energy is the energy that measures the ability of a system to perform work based on its position. In other words, this is the energy that a body has at a certain height above the ground.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the force of gravity. Then for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:

Ep = m*g*h

Where Ep is the potential energy in joules (J), m is the mass in kilograms (kg) is h the height in meters (m) and g is the acceleration of fall in m / s² (approximately 9.81 m/s²)

In this case:

m= 0.547 kgg= 9.81 m/s²h= 2.30 m

Replacing

Ep= 0.547 kg *9.81 m/s²* 2.30 m

and solving you get:

Ep= 12.342 J

So:

Total mechanical energy= 12.342 J + 6.8375 J

Total mechanical energy= 19.1795 J≅ 19.2 J

The total mechanical energy of the pizza crust is 19.2 J.

Step 3: Create your graphs. a) Decide how many graphs you will need to show the energy transformation. b) You should have at least 3 graphs, so that the steps of the transformation will be clear. c) Each graph should be clearly labeled. d) Careful use of color on your graphs will make them easy to read and understand. It's for Edge. Project: Energy Transformation Poster. Thank you!

Answers

I don’t wanna do this sorry lol

Segregation of alleles happens during the sex cell formation called ___.

A. translation
B. meiosis
C. sexual reproduction
D. transcription

Answers

Answer:

The answer to your question is sexual reproduction

Explanation:

Mark me brainliest (WHY?) cause my answer is correct

As you turn on the stove, you notice that your water changes temperature from 67 degrees F to 93 degrees F. How many degrees of change is that in degrees C?

Answers

Answer:

14.44 degrees of C change

Explanation:

67 to 93 F is 26 degrees F change

C = 5/9 F

26 * 5/9 = 14.44 C change

Which of the following can act
as media for a wave?
A. Solids
B. Liquids
C. Gases
D. All of the above

Answers

Answer:

D

Explanation:

im pretty sure

in each of the following divide the second number by the first number and find the quotient:3/4,-3/8​

Answers

Answer:

[tex]\dfrac{-1}{2}[/tex]

Explanation:

We need to divide the second number by the first number and the numbers are 3/4,-3/8​.

First number = 3/4

Second number = -3/8

Dividing the second number by the first number.

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}[/tex]

We know that,

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}=\dfrac{-3}{8}\times \dfrac{4}{3}\\\\=\dfrac{-1}{2}[/tex]

So, the answer is (-1/2)

A student walks 3 km in 30 minutes. What is the student's average speed in km/h?​

Answers

Answer:

6km/hr

Explanation:

3km = 30mins

x(km) = 1hr

1hr = 60 x 60 = 3600secs

30min = 30 x 60 = 1800secs

3 x 3,600/x X 1,800

x = 10,800/1,800

x = 6km/hr

To solve the problem we must know about speed, distance, and time.

What is the relationship between Speed, distance, and Time?

We know that speed, distance, and time all are in a relationship with each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

A student walks 3 km in 30 minutes.

We know distance can be written as the product of speed and time, therefore,

[tex]\rm Distance = \rm speed \times \rm Time[/tex]

Substituting the values we get,

[tex]\rm 3\ km = Speed \times 0.5\ hour[/tex]

[tex]\rm speed = \dfrac{3\ km}{0.5\ hour}[/tex]

speed = 15 km\h

Hence, the speed of the student is 15 km\hour.

Learn more about speed, distance, and time:

https://brainly.com/question/15100898

The vertical columns on the periodic table of elements are called groups.
A True
B. False

Answers

Answer:

True

Explanation:

A girl who is watching a plane fly tells her friend that the plane isn't moving at all. Describe a frame of reference in which the girl's description would be true.

Answers

If the plane is far away and flying directly toward or away from
the girl, the plane would appear not to be moving. Also, the plane
would not be moving in the frame of reference of the people on
the plane. If you are matching speed and direction of the plane.

The girl's reference frame must be moving with the same speed as the plane.

If an observer is stationary and he watches a car moving he can observe that the car has a momentum and is moving with certain speed. But if the observer is in the car or moving with same speed, the car does not appear to move away form the observer. Likewise, two observers moving with different speed will have different observation about the same car.

Similarly, if the girl describes the plane is not moving that means either she is in the plane or moving with the same speed along with the plane.

Learn more about frame of reference:

https://brainly.com/question/20897534

Why does our sun appear larger than any other star in our galaxy

PLS HELP & use your own words thanks

Answers

Answer:

The closer and bigger the star, the larger the star appears.

Explanation:

Since the sun is closer to us it shows up way larger than other stars in our galaxy.

Have a great day.

Answer:

It is the closest star to us. other bigger stars may seem small, but that is because they are far away. The more closer an object is, the smaller it seems to be.

Explanation:

Hope this helps!

What is directly created when radiation from the Sun heats air in the atmosphere?

erosion

humidity

precipitation

wind

Answers

Answer:

Wind

Explanation:

I had this question on one of my tests, and I got it right

pls helppp :)List several examples of applied force, normal force, and friction that you’ve observed in your life.


ill mark brainliest if the answer is actually helpful:p

Answers

Answer:

an example for applied force is

Explanation:

The applied force is the force applied to the object to either displace it or change its shape.

Pulling a bucket of water from a well. Rotating a doorknob by human hand. Lifting an object from the floor. Checking the weight of the person (This is a practice way to measure the applied force) Pushing a box on a floor.

HOPE THIS HELPS

A 50kg block is at rest on the ground.
(a) Draw a diagram of the block and draw in the forces acting on the block (label these forces)
(b) Determine the magnitude and direction of weight of the block and the normal force acting on the block.​

Answers

Answer:

(b) 490 N downwards

Explanation:

(b) Formula : w= mg

m is the mass of the object

g is a gravitational constant (9.8)

w= mg

= 50×9.8

= 490 N downwards

A car is traveling at 120 kilometers per hour with 35,000 joules of kinetic energy on the freeway when it suddenly applies its brakes and comes to a screeching stop. How much of the original 35,000 joules of energy is left?

Answers

Answer:

0 J is left (No amount of the original 35000 J energy is left)

Explanation:

From the question

Kinetic Energy (K.E) = 1/2mv²................... Equation 1

Where m = mass of the car, v = velocity of the car.

make m the subject of the equation.

m = 2K.E/v²..................... Equation 2

Given: K.E = 35000 Joules, v = 120 km/h = (120×3600/1000) = 432 m/s

Substitute these values into equation 2

m  = (2×35000)/432²

m = 0.375 kg.

If a brake is suddenly apply,

Then, the velocity of the car = 0 m/s.

Therefore,

K.E = 1/2(0.375×0²)

K.E = 0 J.

From the baove analysis, No amount of the original 35000 J energy is left.

five properties of light

Answers

Answer:

Light is electromagnetic radiation that has properties of waves. The electromagnetic spectrum can be divided into several bands based on the wavelength. As we have discussed before, visible light represents a narrow group of wavelengths between about 380 nm and 730 nm.

OR

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization, while its speed in a vacuum, 299 792 458 m/s, is one of the fundamental constants of nature.

7 sentences
about degradable

Answers

Answer:

Many of planet earth's water pollution crises are due to the use of items that are not degradable biologically;Her address to the United Nations said we have to return to the use of degradable materialsThey are currently producing oxo-degradable materialsSweden is the third nation to perfect and implement the total use of bio-degradable plastic bagsPepsi Cola Company was reported to have promised to discontinue the use of bottles that were not degradable biologicallyAdverse weather conditions eventually make every matter degradable. Some just take longer than otherdetergents are degradable.

Cheers

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