A flywheel rotating at an initial velocity of 2.09 rad/s undergoes a change to 4.6 rad/s for precisely 5s

a) Calculate the angular acceleration of the flywheel.

b) Suppose the flywheel has moment of inertia of 1.5 kg m^2. Compute the wheels torque?
[Please answer if you know]

Answers

Answer 1

Answer:

A. 0.502

B. 0.753

Explanation:

A. The angular acceleration of the flywheel is equal to the change in angular velocity divided by the change in time, which is equal to (4.6-2.09)/5 which is 0.502.
B. Angular acceleration is equal to the net torque divided by the rotational inertia. If you rearrange the equation, torque is equal to angular acceleration times rotational inertia, which is 0.502 times 1.5 which is 0.753.

Answer 2

Answer:

Assumption: the angular acceleration of this flywheel is constant.

Angular acceleration: [tex]0.502\; {\rm rad\cdot s^{-2}}[/tex].

Net torque on this flywheel: [tex]0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}[/tex] (or, equivalently, [tex]0.753\; {\rm N \cdot m}[/tex].)

Explanation:

Change in the angular velocity of this flywheel:

[tex]\begin{aligned}\Delta \omega &= \omega_{1} - \omega_{0} \\ &= 4.6\; {\rm rad \cdot s^{-1}} - 2.09 \; {\rm rad \cdot s^{-1}} \\ &= 2.51\; {\rm rad \cdot s^{-1}}\end{aligned}[/tex].

Divide this change in angular velocity [tex]\Delta \omega[/tex] with the duration [tex]t[/tex] of the acceleration to find the average angular acceleration of this flywheel:

[tex]\begin{aligned}\alpha &= \frac{\Delta \omega}{t} \\ &= \frac{2.51\; {\rm rad \cdot s^{-1}}}{5\; {\rm s}} \\ &= 0.502\; {\rm rad \cdot s^{-2}}\end{aligned}[/tex].

By Newton's Second Law for Rotation, the net torque on this flywheel would be the product of the angular acceleration and the moment of inertia of this flywheel, [tex]I[/tex]:

[tex]\begin{aligned}\tau_{\text{net}} &= I\, \alpha \\ &= 1.5\; {\rm kg \cdot m^{2}} \times 0.502\; {\rm s^{-2}} \\ &= 0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 0.753\; {\rm (kg \cdot m \cdot s^{-2}) \cdot m} \\ &= 0.753\; {\rm N \cdot m}\end{aligned}[/tex].


Related Questions

how many cubic meters of habitable space was available in skylab?

A 1,000

B 263

C 5,263

D 10,000​

Answers

361 cubic meters of habitable space was available in the skylab. None of the given options are correct.

Who launched skylab?

NASA launched the first American space station, called Skylab.

The fuel tank of the Saturn SIV-B rocket stage served as the Skylab's residential quarters.

Skylab's livable capacity was large in comparison to the spacecraft that American astronauts had previously used 361 cubic meters.

Skylab offered 361 cubic meters of livable area.

Hence, none of the given options is correct.

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For an object on a flat surface, the force of gravity is 15 newtons downward and the normal force is 15 newtons upward. The applied force is 10 newtons toward the left and the frictional force is 8 newtons toward the right. What is the magnitude and direction of the net force?
2 newtons toward the right
2 newtons upward
2 newtons toward the left
2 newtons downward

Answers

Answer:

There is a net force of 2 N to the left.

With 8 N to the left the up/down and left/right forces are in balance.

The force left over is 2 N to the left.

the unit of energy is a derived unit give reasons.

Answers

Answer:

ioinl

Explanation:

Which statement belongs to daltons atomic theory

Answers

Atoms cannot be broken down into smaller pieces is the statement belongs to daltons atomic theory. Option B is correct.

What is an atom?

The atom consists of matter that may be split without releasing electrical charges. It's also the smallest unit of matter with chemical element features.

The complete question is:

"Which statements belong to Dalton's atomic theory? Select all that apply.

A)Atoms cannot be created or destroyed.

B)Atoms cannot be broken down into smaller pieces.

C)All atoms of an element are identical.

D)Chemical reactions cause atoms to be rearranged."

According to Dalton's atomic hypothesis, atoms cannot be broken down into smaller bits.

Hence, option B is correct.

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1. A person of mass 55 kg is in a bumper car that has a mass of 75 kg. They are together at a velocity of 8 m/s.
a. what's the total momentum of the system
b. what is the momentum of the bumper car after the collision? did it change directions? how do you know?​

Answers

The momentum of the bumper car after the collision is 1,040 kgm/s.

Momentum of bumper

The change in momentum of the bumper is calculated as follows;

P = v(m1 + m2)

P = 8(55 + 75)

P = 1,040 kgm/s

The momentum of the bumper car after the collision is 1,040 kgm/s.

The direction is still the same.

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PLEASE HELP ASAP!!
The invention and use of the microscope showed scientists that germs could cause illness. Although there had been various understandings before for why people become ill, the discovery that microscopic germs can make people sick completely changed scientific understanding of why diseases exist and spread.

This change is an example of what?

how a law changes when new evidence disproves it
how a law stays the same as new scientific inquiries are made
how a theory changes as new areas of science open up
how a theory stays the same when new research confirms it

Answers

According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

What is a scientific theory?

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

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Answer:

Explanation:

According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

What is a scientific theory?

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

Calculate the velocity of an object.
moved around a circle with a radius of
1.65m and an acceleration of 3.5 rad /s²

Answers

Answer:

5.775 m/s

Explanation:

radial acceleration = velocity / radius

=> velocity = radial acceleration * radius

=> v = 3.5 * 1.65 = 5.775 (m/s)

Which property of sound waves decreases as the square of the distance from the source increases? A. Pitch
B. Intensity C. Wavelength D. Speed ​

Answers

Intensity is the property of sound waves that decreases as the square of the distance from the source increases. Option B is correct.

What is a sound wave?

A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

As the square of the distance from the source increases, the intensity of sound waves decreases.

Sound intensity relationship

[tex]\rm {I} = \frac{1}{r^2}[/tex]

[tex]\rm \frac{I_2}{I_1} =\frac{r_1^2}{r_1^2}[/tex]

Hence, option B is correct.

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The new horizons spacecraft, launched in 2006, spent 9.5 years on its journey to pluto. it derives its electric power from the heat generated by 10 kg of , which has an activity of . each decay emits an alpha particle with an energy of 5.6 mev. what is the total thermal power generated by this plutonium source

Answers

The total thermal power generated by this plutonium source is determined as 5.65 J/s.

Total thermal power generated

The total thermal power generated by this plutonium source is determined as follows;

ΔP = Eλ

where;

E is the energy of the particles = 5.6 mevλ is the activity of the plutonium, which should be = 6.3 x 10¹⁵ s⁻¹

ΔP = (5.6 mev) x (6.3 x 10¹⁵ s⁻¹)

ΔP = (5.6 x 10³ x 1.6 x 10⁻¹⁹ J) x (6.3 x 10¹⁵ s⁻¹)

ΔP = 5.65 J/s

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Who collected the evidence to prove what quasars are?
*
1 point
Inh Jee
Fred Hoyle
Albert Einstein
Maarten Schmidt

Answers

Answer:

I believe the answer is Maarteb Schmidt as he's the one who discovered quasars.


An inventor claims to have invented a perpetual motion machine, a machine that creates its own power and energy
allowing it to run forever. Which of the following laws best explains why this invention cannot be true?

A
the law of conservation of matter
B
the law of conservation of energy
C
newtons 3rd law
D
newtons 2nd law

Answers

Answer:

B. The law of conservation of energy

Explanation:

The law of conservation of energy states that energy can neither be created or destroyed which means that a perpetual motion machine, which creates its own power and energy, cannot be true since energy cannot be created.

A snail is traveling along a straight path. The snail’s velocity can be modeled by

Answers

The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The given data in the problem is;

v(t)=1.4ln(1’t²) inches per minute

0<t<15 minute

Acceleration is found as;

[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]

Acceleration at t= 5 minute;

[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]

Hence, the acceleration of the snail will be 7/13 inch per square minute.

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When a baseball is hit, it travels around 65 mps (meters per second). the mass of the baseball is 0.145 kg. what is the kinetic energy of the baseball?

Answers

Answer:

306J

Explanation:

The formula for kinetic energy is given as ½mv².

Using this, we get our answer by substituting the values into the formula.

½ × 0.145kg × 65m/s

= 306.31J

can be rounded off to 306J

Greta is on the chairlift going up the mountain when one of her skis falls off.
The ski has a mass of 5 kg and hits the snow below with a speed of 72 km/h.
How high is the chairlift above the snow when the ski falls off?
(Ignore air resistance.)

Answers

The height of the chairlift above the snow when the ski falls off is determined as 20.4 m.

Conservation of energy

The height of the chairlift is calculated from the principle of conservation of mechanical energy as shown below;

P.E = K.E

mgh = ¹/₂mv²

gh = ¹/₂v²

h = v²/2g

where;

v is speed of the ski when it hits the snow below = 72 km/h = 20 m/sg is acceleration due to gravity

h = (20)²/(2 x 9.8)

h = 20.4 m

Thus, the height of the chairlift above the snow when the ski falls off is determined as 20.4 m.

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17. what does it mean if a personality
test is reliable?
a. a reliable test will give consistent
results over time.
b. a reliable test reveals forgotten
experiences.
c. a reliable test has strong personal
bias.
d. a reliable test accurately predicts?
your actions.

Answers

A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.

Meaning of Personality test

Personality test can be defined as a test that can be used to verify or ascertain an individuals personality.

Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.

In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.

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Answer:

a.

Explanation:

the angle between the incident ray and the reflected ray is 800. what is the angle of incidence​

Answers

Answer:

50 degrees

Explanation:

the angle between the incident ray and the reflected ray is 80 degrees

80 degrees   +  inc + refl = 180

inc = refl = 50 degrees

Olivia is on a swing at the playground.

A girl is swinging on a swing set. At W she is about 45 degrees up and to the left. At X she is near the bottom of the swing just to the left. At Y she is near the bottom of the swing just to the right. At Z she is about 45 degrees up and to the right.
If the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)

W
X
Y
Z
Mark this and return Save and Exit Next Submit

Answers

Olivia is on a swing at the playground. The kinetic energy is increasing and her potential energy decreasing at point X.

What is kinetic energy and potential energy?

The kinetic energy of an object is the ability to do work by virtue of its motion and potential energy is the ability to do work by virtue of its position.

At point W and Z, Olivia is at the maximum displacement from the mean position, where kinetic energy is zero and potential energy is maximum.

At point Y, it is approaching to increase its potential energy and decreasing kinetic energy. Opposite to this, at point X, kinetic energy is increasing and potential energy is decreasing.

Thus, the kinetic energy is increasing and her potential energy decreasing at point X.

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Thanks for helping!!!------>
a 15.3 g bullet moving with a speed of 372 m/s. Answer in units of kg · m/s.

Answers

Answer:

56.916  kg m/s

Explanation:

Convert g to kg        15.3 g =   .153 kg

.153 kg  *  372 m/s   = 56.916 kg*m/s

As stream discharge increases ________. only velocity increases velocity, width, and depth increase velocity, width, and depth decrease only depth increases

Answers

As stream discharge increases, only velocity increases.

What is discharge?

The discharge or volume flow rate is defined as the product of the velocity of the fluid and the area of cross- section of the pipe or tube.

Discharge Q = Area A x Velocity V

Q = AV

The discharge is directly proportional to the velocity of the fluid. When discharge increases, velocity is the only physical quantity that can be changed.

Thus, As stream discharge increases, only velocity increases.

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What type of motion a particle has if its velocity-time graph is as mentioned below? i) Graph is parallel to the time axis ii)Graph is a straight line passing through the origin and having a constant slope.​

Answers

The velocity time graph is used to plot the velocity of a body against the time.  

What is the velocity time graph?

The velocity time graph is used to plot the velocity of a body against the time.  The slope of this graph is called the velocity.

Now the following are true regarding the scenarios below;

Graph is parallel to the time axis - This is constant velocity

Graph is a straight line passing through the origin and having a constant slope. - There is a uniform acceleration.

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What's manifestation​

Answers

Answer:

Explanation:

the action or fact of showing an abstract idea.


(◑.◑)!

Manifestation (or manifesting) refers to

various pseudoscientific self-help

strategies intended to burning about

a personal goal, primary by focusing

one's thought upon the desired outcome.

The techniques are based on the law

of attraction of New Thought spiritually.

While the process involves positive

thinking, or even directing request to

"the universe", it also involves

action-steps on the part of the individual.

Manifestation has been criticised as

having no basis in physical science.

Alison Bernstein, a professor of

translational neuroscience at Michigan

State University said in an interview

with Vice that "You can't magically

make things happen. You can [However]

change the way you react to certain

situations, which sounds to me like

Cognitive Behavioral Therapy". She

want no to assert that "manifestation

is not supported by science.

Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis

Answers

Answer:

C

Explanation:

Explain the difference between average speed and average velocity. The average acceleration is the difference between the average speed and the average velocity. Average speed is measured in kilometers per hour, whereas average velocity is measured in miles per hour. There is no difference between average speed and average velocity; they are completely equivalent terms. The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. The average speed, a scalar, equals the magnitude of the average velocity vector over the same time interval.

Answers

The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. Option C is correct.

What is average velocity?

The average velocity is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

The distinction between average speed and average velocity is that the scalar average speed is larger than or equal to the magnitude of the vector average velocity during the same time frame.

Hence option C is correct.

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Please answer if you know :)

Answers

Answer1. :(20/25)*200/*25 2. Increase the radius or apply the force perpendicular to the wrench

Explanation:torque =force*distance*sine of the angle between applied force and axis of wrench

2 large parallel plates are 2.0 cm apart. the strength of the electric plates between them is 100.0 n/c . what is the difference in the voltage between them?

Answers

Hello!

We can use the following equation for the potential difference between two parallel plates given an electric field and separation distance:
[tex]V = Ed[/tex]

V = Potential Difference (? V)
E = Electric field strength (100.0 N/C)

d = distance between places (0.02 m)

Plug in the values and solve.

[tex]V = (100)(0.02) = \boxed{2 V}[/tex]

Why does a balloon shrink in cold water?

Answers

Answer:

The balloon shrank because the average kinetic energy of the gas molecules in a balloon decreases when the temperature decreases. This makes the molecules move more slowly and have less frequent and weaker collisions with the inside wall of the balloon, which causes the balloon to shrink a little.

Explanation:

Not only does it shrink in cold water but it shrinks in the cold itself.

Hope this helps!!

Does paint and cardboard have joints in it

Answers

Noooo it doesn’t because it’s not apart of the body

What is the direction of a current that experiences the magnetic force shown above
east
south
north
west

Answers

Answer: Up

Explanation:

If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (assume that we are on earth and that gravity is 9.81 meters/second². ) a. 0.87 centimeters b. 2.1 meters c. 1.6 meters d. 0.87 meters e. 8.3 meters

Answers

Answer:

  d.  0.87 meters

Explanation:

You want to know the length of a pendulum whose period is 1.87 seconds.

Period

The formula for the period of a pendulum in terms of its length is ...

  T = 2π√(L/g)

Length

Solving for length, we have ...

  T/(2π) = √(L/g) . . . . . . . divide by 2π

  (T/(2π))² = L/g . . . . . . . square both sides

  gT²/(4π²) = L . . . . . . . multiply by g

For the given period and value of g, we find the length to be ...

  L = 9.81·(1.87/π)²/4 ≈ 0.87 . . . . meters

The length of the pendulum is about 0.87 meters.

Answer:   d.  0.87 meters

Explanation: plato :)

At 6: 00 am, a motorbike set off from town A to town B at a speed of 40km/h. At the same time, a car set off from town B to town A at a speed of 60km/h. What time did they meet

Answers

Answer:

One would need to know how far apart the towns are:

T = SA / 40      time it takes for first cyclist to travel S1

T = SB / 60       time it takes for cyclist B to travel distance S2

SA + SB = S     the distance between the towns

SB = 60 / 40 SA = 1.5 SA

SA + 1.5 SA = S

S = 2.5 SA where cyclist travels distance SA

The time will depend on the separation of the towns.

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