A flywheel is rotating with an angular velocity of 1.4 rad/s and is acted on by an acceleration of 0.6 rad/s².

a) What angular velocity will it have attained after three complete turns?

b) How long will it take to do those three turns?

Answers

Answer 1

(a) The final angular velocity of the flywheel after 3 complete revolutions is 4.96 rad/s.

(b) The time taken for the flywheel to make 3 complete revolutions is 5.93 s.

Final angular velocity

The final angular velocity of the flywheel after 3 complete revolutions is determined by applying third kinematic equation as shown below;

θ = 2π (rad/rev) x (3 rev) = 18.85 rad

ωf² = ωi² + 2αθ

ωf² = (1.4)² + 2(0.6)(18.85)

ωf² = 24.58

ωf = √24.58

ωf = 4.96 rad/s

Time of motion

The time taken for the flywheel to make 3 complete revolutions is calculated as follows;

ωf = ωi + αt

t = (ωf  - ωi)/α

t = (4.96 - 1.4)/0.6

t = 5.93 s

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Related Questions

Which of the following statements is true for both solar energy and wind energy? (1 point)
O Energy collection equipment can be installed in agricultural areas without affecting crop production
O Power from this energy source can easily be integrated into existing power grid systems.
O Energy is able to be collected both day and night.
O Power generation using this energy source does not contribute to water pollution

Answers

The statement that is true for both solar energy and wind energy is that power generation using this energy source does not contribute to water pollution.

What is solar and wind energy?

Solar energy is the energy in the form of electromagnetic radiation emitted from the Sun while wind energy is the energy generated from from moving currents of the wind using wind turbines.

Solar and wind energies are both renewable sources of energy i.e. they cannot be exhausted.

However, the generation of power from both solar and wind sources does not pollute water.

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#SPJ1

When the curvature radius of a converging lens is increased, the size of the image _(blank)_.

A. is magnified

B. is reduced

C. stays the same

Answers

I think it will be reduced in size. I’m not sure, but my final answer is : B

When the curvature radius of a converging lens is increased, the size of the image is reduced.

What is radius of curvature ?

“The radius of curvature is the radius of sphere formed by the convex or concave mirror.” It is also equal to the distance between the pole and centre of curvature.” The sign convention for focal length and radius of curvature is the same.

What is converging lens?

“Converging lenses are lenses which converge the light rays coming towards them, whereas diverging lenses are lenses which diverge the rays coming towards them.” A converging lens have positive focal length.

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How did the development of electrical signals sent through wires change communication?

A. The electrical signals were more accurate than optical semaphore signals.

B. Signals were amplified with distance.

C. Signals could be sent anywhere a wire could reach and no longer were restricted to line of sight.

D. Signals no longer attenuated with distance.

Answers

A

Explanation:

The electrical signals were more accurate than optical semaphore signals.

The development of electrical signals sent through wires change communication as signals could be sent anywhere a wire could reach and no longer were restricted to line of sight.

What is wire communication?

Wired communication refers to the transmission of data over a wire-based communication technology.

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HELP!! ALL MY POINTS WILL BE GIVEN

an airplane's speed at the time of landing is 90 m/s. ten seconds later it had a speed of 30 m/s. what was the acceleration of the airplane?

Answers

Answer:

-6 m/s^2

Explanation:

30 - 90 = -60

-60 / 10 = -6

If acceleration was constant, it will be -6 m/s^2

A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk?

Answers

Answer:

Torque = I α = 1/2 M R^2 α       where α is the angular acceleration

Torque = F R      where F is applied to a distance R from center

F R = 1/2 M R^2 α

M = 2 F / (R α) = 2 * 50 / (.15 * 110) = 6.06 kg

What do sunspots, solar prominences, and solar flares all have in common?.

Answers

They are all strongly influenced by magnetic fields on the Sun.

An object orbiting the sun in an ellipse can be said to be:.

Answers

Answer:

always accelerating

Explanation:

Answer:

B. Always accelerating

Explanation:

I recently did a review with an identical flashcard!

How does valles marineris differ from the grand canyon?.

Answers

Explanation:

Named Valles Marineris, the grand valley extends over 3,000 kilometers long, spans as much as 600 kilometers across, and delves as much as 8 kilometers deep. By comparison, the Earth's Grand Canyon in Arizona, USA is 800 kilometers long, 30 kilometers across, and 1.8 kilometers deep.

This type of soil is found in warm, humid climates. question 5 options: pedocal laterite pedalfer humus

Answers

Answer:

Laterite would be your answer.

Explanation:

I hope this helps!

Laterite is the type of soil is found in warm, humid climates.

What is laterite soil?

Laterite is rich in iron and aluminum soil and rock type that is thought to have originated in hot, humid tropical climates. Nearly all laterites are of rusty-red hue, because of significant iron oxide concentration.

They form as a result of intense and extended erosion of the underneath rock material, which occurs most often when there are high temperatures and significant rainfall, with alternate wet and dry intervals.

Tropical weather is a long-term chemical weathering process that results in a wide range of soil thickness. Laterite is the type of soil is found in warm, humid climates.

Hence laterite is the correct option.

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During anomalous expansion of water ,heat transfer is limited to conduction and radiation only ,explain.​

Answers

Heat transfer is limited to conduction and radiation only in anomalous expansion of water simply because of the temperature at which the expansion occurs and density

What is anomalous expansion of water?

Anomalous expansion of water is a property of water in which water expands instead of contracting.

Anomalous expansion of water makes water less dense. The major effect of this anomalous expansion it will still remain less dense and at the surface of water.Interestingly, this expansion occurs when it is cooled from 4°C to 0°C.

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You catch a 219 g ball moving at 6.1 m/s. If you catch the ball in a time period of
0.138 s what is the magnitude of the average force you must supply to the ball to
stop the ball?
Answer in units of Newtons (N)

Answers

Answer:

The magnitude of the average force to supply to the ball in order to stop the ball is 9.68 N.

Explanation:

Let's think Newton's 2nd Law: F = ma.

We are given the mass of the ball: 219 g ⇒ .219 kg.

We are given the initial velocity, time, and final velocity of the ball ∴ we can solve for acceleration.

We are trying to find the force needed to stop the ball.

Let's find the acceleration of the ball first.

We have the initial velocity of the ball, 6.1 m/s.We have the time it would hypothetically take the ball to stop, .138 s.We have the final velocity of the ball, 0 m/s (since we are trying to stop the ball).

Now, we can plug these known values into this kinematic equation and solve for acceleration, a.

v = v₀ + at 0 = 6.1 + a(.138) -6.1 = .138a a = 44.2029 m/s²

Substitute acceleration and mass into F = ma and solve for the force.

F = (.219)(44.2029) F = 9.68 N

The magnitude of the average force to supply to the ball in order to stop the ball is 9.68 N.

Which of the following is NOT a chemical change/reaction?

Question 3 options:

2 liquids are combined, and a solid precipitate is formed


phase/state change (solid, liquid, gas)


production of gas bubbles


rusting metal

Answers

Answer:

rusting metal I think hehe

The form of energy transfer that takes place in a house heated by forced air is
primarily
(A) convection.
(C) radiation.
(B) conduction.
(D) work.

Answers

It’s B conduction, this is because inside a certain object or for this example a house, conduction is the main key thing

(A) convection

would be your anwser

Francis is standing at a railway crossing. A train sounds its horn as it moves toward him at a speed of 45 km/hr. If the train conductor hears the horn at 287 Hz, what frequency (in Hz) does Francis hear?

Answers

The frequency observed by Francis when the train approaches is 297.4 Hz.

Doppler effect

The frequency observed by Francis is determined by applying the principle of Doppler effect.

The frequency observed by Francis is calculated as follows;

[tex]f = f_o(\frac{V}{V \pm V_s} )[/tex]

where;

f is the source frequencyf₀ is the observed frequencyVs velocity of the source when it is moving towards the observerV is velocity of sound

45 km/h = 12.5 m/s

Speed of sound in air = 343 m/s

Since the train is moving towards the observer, the frequency heard by the observer will be greater than the source frequency, thus we will choose positive sign for the source velocity.

[tex]f = f_o(\frac{V}{V + V_s} )\\\\287 = f_0 (\frac{343}{343+ 12.5)} )\\\\287 = 0.965f_0\\\\f_0 = \frac{287}{0.965} \\\\f_0 = 297.4 \ Hz[/tex]

Thus, the frequency observed by Francis when the train approaches is 297.4 Hz.

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Starting in 2009, astronomers have been discovering really cool objects out there (cool here meaning low-temperature, as well as really interesting), which they have called Y dwarfs. What distinguishes these brown dwarfs from others that astronomers have discovered

Answers

These brown dwarfs can be distinguished from other star-like objects because they exhibit absorption lines from the ammonia molecule in the spectra.

What are brown dwarfs?

Brown dwarfs are star-like (small) objects in the external space that exhibit very low cold temperatures.

Brown dwarfs are not only small stars but also huge gaseous planets such as Saturn and Jupiter.

In consequence, brown dwarfs are a wide category that includes both planets and star-like objects.

Learn more about brown dwarfs here:

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What is your understanding of Electricity? Describe how electricity works, circuits, how does it move, what is moving? Where does electricity come from?

Answers

Answer:

How does Electricity work?

Electricity is a secondary energy source created at an atomic level thanks to the attraction of protons and electrons. It's generated when we move electrons around. When we move that energy down conductive wires, the electricity travels into our homes and businesses.

How does Electricity move?

Electrical energy travels as electromagnetic waves at the speed of light, which is 3*108 meters per second. The speed of electricity is quite fast even though the electrons move quite slowly. The electric field produces the force that causes these electrons to drift slowly.

Where does Electricity come from?

According to the U.S. Energy Information Administration, most of the nation's electricity was generated by natural gas, coal, and nuclear energy in 2019. Electricity is also produced from renewable sources such as hydropower, biomass, wind, geothermal, and solar power.

A tank contains compressed air at 5 ATM. What is the pressure in pascals?

Answers

Answer:

1 atm = 1.01E5 nt/m^2 = 1.01E5 pascals

5.05E5 nt/m^2 = 5.05E5 pascals

1 pascal = 1 nt/m^2

During which phase of the moon can a lunar eclipse happen?.

Answers

full moon!

when Earth is exactly between the Moon and Sun, Earth's shadow falls upon the surface of the Moon, dimming it and sometimes turning the surface red over the course of a few hours.

can someone please tell me how to calculate the initial kinetic energy​

Answers

In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2

True or False : Waves lose most of their energy when traveling across the ocean.

Answers

Answer:

true

Explanation:

that's the answear

Answer:

it is false i got

Explanation:

it right

As an ambulance siren passes and moves away from you, the sound waves'
frequency __________
and their amplitude ________

A. increases,
decreases
B. increases,
increases
C. decreases,
increases
D. decreases,
decreases

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Amplitude and frequency are two properties of sound waves that decreases as distance from source decrease.

Therefore, as the ambulance moves away,

frequency - decreasesamplitude - decreases

So, correct choice is D

1. A particle has a mass of 10 kg and a velocity of 5 m/s. What is the momentum of the
particle?

Answers

Concept :-

We know that momentum is the product of mass and velocity. Thus, by the following definition, we get :-

[tex] \qquad \maltese \: \underline{ \boxed{ \purple{ \sf Momentum = Mass \times Velocity }}} \: \star[/tex]

Given Information :-

A particle has mass 10 kgMoving with velocity 5 m/s

To Find :-

The momentum of the particle

Solution :-

Using the formula from the concept section, we get :-

[tex]\sf \longrightarrow Momentum =10 \: kg \times 5 \: {m}^{ - 1} ~~~ \\ \\ \\\sf \longrightarrow Momentum = {50~kg \: ms}^{ - 1} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \orange{Momentum = {50 ~kg\: ms}^{ - 1} }}}} \: \star \: \: \: \: \: \: \\ \\ [/tex]

Thus, the momentum of the particle is 50 kg m/s.

[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]

VOTING BRAINLIEST FOR ANYONE WHO ANSWERS RIGHT!!
PLS HELP

Answers

Answer:

B

Explanation:

-1 e so the atomic number should increase so,

B. Np

Can someone help me, I'll give you brainliest!!! (For Dark Paradox)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

What Daryl said is correct and the relationship among them is a causation than a correlation, because we know that high pitched sound wave has more frequency than that of low pitched sound wave. and we also know that if the medium is same then velocity of wave is same* so if there is high pitched sound wave, it has shorter wavelength and if there's low pitched sound wave it has longer wavelength. since there's an inverse relationship between wavelength and frequency.

I hope it was easy to understand, let me know if you have doubts ~

A scientist shines light from a source onto a piece of metal, and no electrons are released by the metal. Increasing the intensity of the light source does not change this result. What is this effect, and how do scientists explain it?

This is the Doppler effect, and it is best explained by the wave model of light.,

This is the Doppler effect, and it is best explained by the particle model of light.


This is the photoelectric effect, and it is best explained by the wave model of light.,

This is the photoelectric effect, and it is best explained by the particle model of light.

Answers

This is the photoelectric effect, and it is best explained by the particle model of light.

What is the photoelectric effect?

The photoelectric effect refers to the emission of negatively charged particles and electromagnetic radiation that hits an object.

The photoelectric effect shows how electrons can be released from a given object when this material is absorbing electromagnetic radiation.

The photoelectric effect is a fundamental piece of evidence for understanding the nature of light particles.

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positively charged center of an atom

Answers

Answer:

the nucleus

Explanation

If these cranes make the work being done ten times easier, what is the mechanical advantage?

A. cannot be determined
B. ten

Answers

The answer is A- cannot be determined good luck on your assignment!

What are the basic si units for the speed of light?.

Answers

c=meters/second or C=m/s

We can see the object due to

Answers

Answer:

we can see object due to reflection of light.

At what temperature are Celsius and Fahrenheit equal?

Answers

Answer:

Celsius and Fahrenheit are the same at

— 40 degree since the scales converge.

Celsius and Kelvins become equal at

high temperature as the difference of

273.15 between them gets lost in the

noise. 0 degree Celsius is equal to 32

degrees Fahrenheit.

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