The tensions in the rope are 12 n and 10 n . What is the angular acceleration of the pulley?

Answers

Answer 1

Answer:

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]

Explanation:[tex]A \ frictionless \ pulley, \ whic h\ can \ be \ modeled \ as \ a \ 0.83 k g \ solid \ cylinder \ with \ a \ 0.30 \ m \ radius,[/tex]  [tex]\ has \ a \ rope \ going \ over \ it[/tex] [tex]The \ tensions \ in \ the \ rope \ are \[/tex] [tex]12 n \ and \ 10 n . \ What \ is \ the \ angular \ acceleration \ of \ the \ pulley?[/tex]

[tex]From \ the \ given \ information:[/tex]

[tex]The \ moment \ of \ inerti a \ of \ a \ solid \ cylinder[/tex] [tex]I = \dfrac{1}{2}mr^2[/tex]

[tex]I = \dfrac{1}{2}(0.83)(0.3)^2[/tex]

[tex]I = 0.03735 \ kg \ m^2[/tex]

[tex]The \ net \ torque = F_1(r) - F_2(r) \\ \\ = 12(0.3) - 10(0.3) \\ \\ = 0.6 \ N.m[/tex]

[tex]Torque (T) = moment \ of \inertia (I) \times angular \ acceleration ( \alpha)[/tex]

[tex]\alpha = \dfrac{T}{I}[/tex]

[tex]\alpha = \dfrac{0.6 \ Nm}{0.03735 \ kg \ m^2}[/tex]

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]


Related Questions

Which part of this chemical process requires energy? KOH + HBr - KBr + H20 A. Forming bonds in KOH and HBr B. Breaking bonds in KBr and H2O C. Breaking bonds in KOH and HBr D. Forming bonds in KBr and H2O​

Answers

The chemical process which requires energy is breaking bond in KOH and HBr. Hence, option C is correct.

What is energy?

The capacity to perform work is known as energy in physics. Potential, kinematic, thermodynamic, electromagnetic, chemical, nuclear, and other types are all possible.

As energy is transferred through one body to another, there is also heat and work. As a result, heat transfer may result in thermal energy, whereas labor done may result in mechanical power.

As per the given reaction in the question,

KOH + HBr - KBr + H20

Here, in this reaction the chemical process which requires the energy is at the time of breaking of bonds in KOH and HBr at that time the energy is required.

Therefore, it is concluded that breaking bonds in KOH and HBr i.e., option C is correct.

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The ultrasound is reflected from the seafloor back to the submarine.

Use the correct answers below to complete the sentence.

A. Half
B. The same as
C. Twice

The total distance the ultrasound pulse travelled is......... the distance to the sea floor.

Answers

Answer: c

Explanation:

The total distance the ultrasound pulse travelled is, twice the distance of the sea floor

Because it went back and forth

What is the unit of a force, and what is 1 unit equivalent to?

Answers

Answer:

Newton

Explanation:

The unit of force is Newton and it is given after Sir Isaac Newton for his tremendous works in this regard.

 Force is the product of mass and acceleration of a body.

    Force  = mass x acceleration  

 The unit of mass = kg

                    acceleration  = m/s²

So;

      1N  = 1kgm/s²

Therefore, the unit of force is newtons and 1N is equal to  1kgm/s²

Which picture is louder?
A) Bottom picture with greater amplitude
B) Top picture with less amplitude

Help me plssss!!!

Answers

Answer:

A

Explanation:

The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound.

Earth's rotation causes winds to veer to the west or to the east. This is known as the Coriolis effect.

Lesson 1.06



Question 5 options:
True
False

Answers

Earth's rotation and spherical shape cause winds to veer to the right (in the northern Hemisphere) or to the left (in the southern Hemisphere) of the direction they want to go.  This is known as the Coriolis effect.

If you didn't know that you're on a rotating Earth, and you looked at the patterns of the winds, you'd think there's some kind of force that's making the airflow veer to the right or left of the direction it actually wants to go.  This is known as the Coriolis force.  It's a"pseudo force", because it doesn't really exist.  It only LOOKS like it's there, because of the Earth's rotation and spherical shape..

The statement "Earth's rotation causes winds to veer to the west or to the east" is true about the Coriolis effect.

What is the Coriolis effect?

Fluid materials such as wind and ocean currents take different directions depending on the hemisphere, this movement of deviation is called the Coriolis effect.

Characteristics of the Coriolis effect

The Coriolis effect occurs when masses of air or water move along terrestrial meridians, and their trajectory and speed are modified by it.

The winds or ocean currents that move along a meridian are diverted by accelerating in the direction of rotation (east) if they go towards the poles or the opposite (west) if they go towards the equator.

Therefore, we can conclude that the force that tends to deflect the trajectory of objects moving across the entire earth's surface is known as the Coriolis effect.

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True or false: in our solar system, only the sun creates radio waves

Answers

False hdhsbsbsbjsjsndndbxhsisj

Financial assistance intended to aid students in reaching their educational goals is called
a. benefits
b. financial aid
c. associate's assistance
d. post-secondary education
Please select the best answer from the choices provided
Help plsssss

Answers

I believe it’s financial aid

Answer:

financial aid

Explanation:

edge

Can a solution be separated by filtration?​

Answers

Answer:

Filtration is a method for separating an insoluble solid from a liquid. When a mixture of sand and water is filtered: the sand stays behind in the filter paper (it becomes the residue ) the water passes through the filter paper (it becomes the filtrate )

Explanation:

Listo!

Filtration is a method for separating an insoluble solid from a liquid.


The state of matter with particles that are not attracted or tightly packed
and are not arranged in a regular pattern; zoom around to easily change
shape and volume *
a.gas
b.liquid
c.solid

Answers

It's none of the above hope this helps

Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes.

Answers

Answer:

food chain / web lol? was this a question?

A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m?

Answers

Answer:

8) A hanging 7.5 kg object stretches a spring 1.1 m. What is the spring constant? 1 . 1 66. 82 NIMO 9) A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m? Iouliply then divide 875 X 4. 2- - (4 04. 7919) 10) A spring with a spring constant of 25 N/m is stretched 65 cm. What was the force used? 11) A 25 N force stretches a spring 280 cm. What was the spring constant? 12) A 75 N force stretches a spring 175 cm. What was the proportionality constant? 8) 66.82 N/m 9) 401.79 kg 10) 16.25 N 11) 8.93 N/m 12) 42.86 N/m

Explanation:

A spring has a constant of 875 N/m. and the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

What is Spring constant?

The spring constant is a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement which is caused by that force. The SI unit of spring constant is N.m⁻¹ (Newton per meter).

The spring constant is:

F = -k/ x

where, k is the spring constant

F denotes the force,

and x denotes the change in the length of the spring.

k = 875N/m

x = 4.5m

We know that

Kx = mg

m= kx/ g

m = 875 × 4.5/ 9.8

m = 401.78kg

Therefore, the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

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List two functions of blood plasma

Answers

Answer:

•Helps to maintain va proper pH in the body which supports cell function.

•Carries electrolytes such as sodium and potassium to our muscles.

Juan rides his horse with a constant
speed of 18 km/h. How far can he travel
in 1/2 hour?

Answers

Answer:

He traveled 9km

Explanation:

To do this problem you need to use the equation which is Speed= distance/time and this problem gives you the speed which is 18 km/h and it gives you the time 1/2 hour so you write the equation 18= d/ 1/2 which his distance is 9km

Do all metals stick to magnets? Give an example. I NEED HELP FASTT

Answers

Answer:

No

Explanation:

Not all metals stick to magnets. Like aluminum. if you were to stick a magnet on to an aluminum it would fall off.

1. If an object starts at 0 m/s and 0.0001 seconds later the object is travelling at
400 m/s what is the objects acceleration?

Answers

Answer:

4 x 10⁶m/s²

Explanation:

Given parameters:

Initial velocity  = 0m/s

Time  = 0.0001s

Final velocity  = 400m/s

Unknown:

Acceleration of the object  = ?

Solution:

Acceleration is the rate of change of velocity with time;

 Acceleration  = [tex]\frac{Final velocity - Initial velocity }{Time }[/tex]  

 Acceleration  = [tex]\frac{400 - 0}{0.0001}[/tex]   = 4 x 10⁶m/s²

f. It is easier to pull a lawn roller than to push it, why?​

Answers

Answer:

because you use more force to push than to pull (well it depends how heavy it is)

Explanation:

What happens when stress builds up at faults?

A. Energy is absorbed
B. Rock can bend and break
C. Plates form on the lithosphere
D. earthquakes develop at earths surface

Answers

Answer:

The answer is D because when the faults move that is the tectonic plates moving. So earth quakes will be forming when the fault moves.

Explanation:

AB just took the test

how much energy must be absorbed by water with a mass of 0.5kg in order to raise the tempature from 30c to 65c

Answers

Answer:

62760J

Explanation:

Given parameters:

Mass  = 0.5kg  = 500g

Initial temperature  = 30°C

Final temperature  = 65°C

Unknown:

How much energy is absorbed by the water  = ?

Solution:

To solve this problem, we use the expression below:

  H  = m C Δt

  H =  m  x C x (t₂ - t₁ )

m is the mass

C is the specific heat  = 4.184J/g°C

t₂ is the final temperature

t₁ is the initial temperature

So;

              H  = 500 x 4.184 x (65  - 30) = 62760J

how much work does a 60kg person do in walking up 5m of stairs

Answers

Answer:

If I’m correct 300 joules

Explanation:

What are two ways in which ultrasound technology produces images

Answers

Fetal and ophthalmic

Describe a line that indicates moving backward on a graph

Answers

Answer:

time speed accelaration negatives backwards

Explanation:

Scientists have made predictions about the universe today based on the big bang theory. Observations that match these predictions support the big bang theory. Which of the following observations have scientists made that provides evidence of the big bang?

A. Light from the moment of the big bang has been observed.
B. The percentages of hydrogen and helium match the predicted percentages.
C. Galaxies are moving toward each other as predicted by the big bang theory.
D. Many galaxies that are similar to the Milky Way have been observed.

Answers

Answer:

the answer is b

Explanation:

Answer:

b

Explanation:

I just did it on a p e x

According to the label, what is the estimated cost of running this air conditioner for 3,000hours if electrical energy costs 10 cents per kilowatt-hour?
a.$40
b.$19
8c.$238
d.$300

Answers

The answer is $300 for the estimated cost

which two options are examples of wave refracting?
A. Your image in a mirror
B. Light bending as it travels through glass.
C. A voice echo.
D. An object appearing broken when partly seen through water.

Answers

B is the answer I hope this helps

what are the factors that affect orbital velocity

Answers

Answer:

the mass of the central body (earth) and the radius of the orbit affect orbital velocity

Explanation:

Need help ASAP
Thanks+ BRAINLIST only for correct answers it’s due in 10 mins I really need help

1.what is the order if visible light in increasing energy?
-violet, indigo, blue, green, yellow, orange, red
-red, orange, yellow, green, blue, indigo, violet

2.visible light is a mixture of
-refraction and reflection
-atoms and molecules
-many colors
-ultra violet and non violet rays

Answers

1- option 2
2- option 1

Explanation:

1A. The visible light portion of the electromagnetic spectrum shows the rainbow of colors, with violet and blue having shorter wavelengths, and therefore higher energy. At the other end of the spectrum toward red, the wavelengths are longer and have lower energy.

so its option 2

2A. Atom and molecules

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The particles of a substance can have kinetic energy (KE) and potential energy (PE). Which equation best summarizes the internal energy (U) of the substance?​

Answers

Answer:

The internal energy of a substance is equal to the total amount of potential energy and kinetic energy of ALL the particles in the substance.

For example, when the temperature increases (more temperature means more energy), the kinetic energy of the particles in the substance increases.

And when we reach a point near a change of phase (like near fusion point) there is energy used to break the bonds between the particles, then we have an increase in potential energy.

Then we could write the internal energy as:

U = ∑(KEₙ) + ∑(PEₙ)

Where ∑(KEₙ) and ∑(PEₙ) are the sums of the kinetic energy and potential energy of all the particles in the substance.

The equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is U = ∑(KEₙ) + ∑(PEₙ).

WHAT IS INTERNAL ENERGY:The internal energy of a substance is equal to the total amount of potential energy and kinetic energy of all the particles in the substance.

According to this question, the particles of a substance can have kinetic energy (KE) and potential energy (PE).

This means that the internal energy is the sum of the kinetic energy and potential energy of all the particles in the substance.

Therefore, equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is U = ∑(KEₙ) + ∑(PEₙ).

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How could you explain that two objects of the same volume have different buoyancy in water???

HELP ITS URGENT

Answers

Answer:

Explanation:

Take for example you place two eggs in the water. One starts to sink and one remains floating. They have the same volume but the one that sinks is cracked just a little, which as soon as it hits the water, water starts to go in the egg. Then that changes the volume of the egg. (I've done this expirement before) It can also be the way you place the object in the water, or one object has been in the water longer. The buoyancy can be the way they are positioned/placed in the water. One may be more absorbant to the water as well.

I hope you understand what I am trying to say.

Suppose a 4.0-kg projectile is launched vertically with a speed of 8.0 m/s. What is the maximum height the projectile reaches?
A. 1.7 m
B. 3.3 m
C. 6.5 m
D. 13 m
help as quick as possible plz :(

Answers

Answer:

h = 3.3 m (Look at the explanation below, please)

Explanation:

This question has to do with kinetic and potential energy. At the beginning (time of launch), there is no potential energy- we assume it starts from the ground. There, is, however, kinetic energy

Kinetic energy = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

Plug in the numbers = [tex]\frac{1}{2}[/tex](4.0)([tex]8^{2}[/tex])

Solve = 2(64) = 128 J

Now, since we know that the mechanical energy of a system always remains constant in the absence of outside forces (there is no outside force here), we can deduce that the kinetic energy at the bottom is equal to the potential energy at the top. Look at the diagram I have attached.

Potential energy = mgh = (4.0)(9.8)(h) = 39.2(h)

Kinetic energy = Potential Energy

128 J = 39.2h

h = 3.26 m

h= 3.3 m (because of significant figures)

Most electricity comes from the burning of
A. Fossil fuels B. Trash C. Wood D. None of the above

Answers

Answer:

(A) Fossil Fuels

Answer:

Fossil Fuels

Explanation:

That’s what CK12 told me

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