Two disks are rotating about the same axis Disk A has a moment of inertia of 3.44 kg m2 and an angular velocity of 5.69 rad s Disk B is rotating with an angular velocity of 7.03 rad s The two disks are then linked together without the aid of any external torques so that they rotate as a single unit with an angular velocity of 4.23 rad s The axis of rotation for this unit is the same as that for the separate disks What is the moment of inertia of disk B

Answers

Answer 1

Answer:

The moment of inertia of disk B is 0.446 kilogram-square meters.

Explanation:

In this case, the moment of inertia of the disk B can be determined by means of the Principle of Conservation of Angular Momentum, whose model is:

[tex]I_{A}\cdot \omega_{A} + I_{B}\cdot \omega_{B} = (I_{A} + I_{B})\cdot \omega[/tex] (1)

Where:

[tex]I_{A}[/tex], [tex]I_{B}[/tex] - Moments of inertia of disks A and B, in kilogram-square meters.

[tex]\omega_{A}[/tex], [tex]\omega_{B}[/tex] - Initial angular velocities of disks A and B, in radians per second.

[tex]\omega[/tex] - Final angular velocity of the resulting system, in radians per second.

Let suppose that disk A rotates counterclockwise, whereas disk B rotates clockwise and that resulting system rotates counterclockwise. If we know that [tex]I_{A} = 3.44\,kg\cdot m^{2}[/tex], [tex]\omega_{A} = 5.69\,\frac{rad}{s}[/tex], [tex]\omega_{B} = -7.03\,\frac{rad}{s}[/tex] and [tex]\omega = 4.23\,\frac{rad}{s}[/tex], then the moment of inertia of the disk B is:

[tex]I_{A} \cdot (\omega_{A} - \omega) = I_{B}\cdot (\omega - \omega_{B})[/tex]

[tex]I_{B} = I_{A}\cdot \left(\frac{\omega_{A}-\omega}{\omega - \omega_{B}} \right)[/tex]

[tex]I_{B} = (3.44\,kg\cdot m^{2})\cdot \left(\frac{5.69\,\frac{rad}{s} - 4.23\,\frac{rad}{s} }{4.23\,\frac{rad}{s} + 7.03\,\frac{rad}{s} } \right)[/tex]

[tex]I_{B} = 0.446\,kg\cdot m^{2}[/tex]

The moment of inertia of disk B is 0.446 kilogram-square meters.


Related Questions

When responding to sound, the human eardrum vibrates about its equilibrium position. Suppose an eardrum is vibrating with an amplitude of 7.2 x10-7 m and a maximum speed of 3.6 x10-3 m/s. (a) What is the frequency (in Hz) of the eardrum's vibrations

Answers

Answer:

796.18 Hz

Explanation:

Applying,

Maximum velocity = Amplitude×Angular velocity

Therefore,

V' = A(2πf)............... Equation 1

Where V' = maximum velocity of the eardrum, A = Amplitude of vibration of the eardrum, f = frequency of the eardrum vibration, π = pie

make f the subject of the equation

f = V'/2πA................ Equation 2

From the question,

Given: V' = 3.6×10⁻³ m/s, A' = 7.2×10⁻⁷ m,

Constant: 3.14.

Substitute these values into equation 2

f = 3.6×10⁻³/( 7.2×10⁻⁷×2×3.14)

f = 796.18 Hz

Your family is on a vacation at the coast and is spending the day at the beach. Your brothers are setting up the umbrellas and beach chairs for the day. You notice that since the tide is low, they are setting everything up close to the water’s edge. Is this a good idea? Explain.

Answers

Its a bad idea. Because the homeless pepole will come and get you.

a vibrating source with a frequency of 20.0Hz produces water waves that have a wavelength of 3.0 cm. Calculate the speed of the waves 

Answers

Answer:

60m/s

Explanation:

v=frequency ×wave length

v signifies the speed

The speed of a wave is the product of its frequency and wavelength. Hence the speed of the wave with a frequency of 20 Hz and 30 cm wavelength is 0.6 m/s.

What frequency?

Frequency of a wave is the number of wave cycles  produced at unit time. Thus it has the unit of s⁻¹ which is equivalent hertz Hz.

Wavelength of a wave is the distance it travels in a wave cycle or for a transverse wave the distance between two consecutive crests or troughs is called wavelength.

The relation between frequency v, wavelength [tex]\lambda[/tex] and speed of a wave c is written as below:

[tex]c = v \lambda[/tex]

By this expression it is clear that the speed of increases with frequecy and wavelength.

The frequency of the given vibrational source is 20 Hz and the wavelength is 3 cm or 0.03 m. Hence, the speed of the wave is calculates as follows:

c = 20 Hz × 0.3 m

  = 0.6 m/s.

Therefore, the speed of the wave is 0.6 m/s.

To find more on wavelength, refer here:

https://brainly.com/question/4112024

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Which statement best explains why there could be a force of attraction
between two electrically charged objects?'
because they have like charges
because they have unlike charges
because they have the same number of protons
because they have the same number of electrons

Answers

Unlike charges cause attraction.
Like charges cause repelling

A Star fleet science officer drops a large rock from a height of 1.55 m onto the surface of an alien planet. The rock strikes the ground in 0.230 s. Determine the acceleration of gravity.

Answers

Answer:

58.6 m/s²

Explanation:

Applying,

s = ut+gt²/2............ equation 1

Where s = height of the rock, u = initial velocity, t = time, g = accelration due to gravity of the planet.

From the question,

Given: s = 1.55 m, t = 0.23 s, u = 0 m/s (dropped from an height)

Substitute these values into equation 1

1.55 = (0×0.23)+g(0.23²)/2

1.55 = 0.0529g/2

0.0529g = 3.1

g = 3.1/0.0529

g = 58.6 m/s²

How much farther away from a current-carrying wire would you


have to stand in order for the magnetic field generated by the


wire to be half as strong?

Answers

Answer: Your question is open ended therefore i will provide a general answer based on the general concept of  your question.

Answer : At half distance between the center of the Magnetic field the magnetic pole the effect of the magnetic field generated will be half as strong

Explanation:

Magnetic force  ∝  1 / d^2

This simply means increase in the squared distance of an object leads to the decrease in the effect of the magnetic field generated by a current carrying wire.  

Hence ;  

At half distance between the center of the Magnetic field the magnetic pole, the effect of the magnetic field generated will be half as strong

Half the distance from a current-carrying wire to the body required to stand, in order for the magnetic field generated by the wire to be half as strong.

What is magnetic field?

The magnetic field is the field in the space and around the magnet in which the magnetic field can be fill.

The value of magnetic field is reduced from a wire, with the distance of the wire.

The magnetic field is inversely proportional to the square of the distance of the current-carrying wire.

Hence, half the distance from a current-carrying wire to the body required to stand, in order for the magnetic field generated by the wire to be half as strong.

Learn more about magnetic field here;

https://brainly.com/question/7802337

Calculate the mass number of an atom with 8 protons, 12 neutrons and 10 electrons

Answers

Answer: 20

Explanation: Mass number is the number of neutrons plus the number of protons. 8 + 12 gives 20.

Mass number

No of protons+No of neutrons12+820

Mass number is 20

The figure below shows the apparatus used to measure the specific heat capacity of a metal. The electric heater is switched on and supplies 17 000 of thermal energy (heat) to the block of metal. The temperature of the metal rises from 16 °C to 38 °C. The mass of the block of metal is 850 g. No energy is lost from the metal. Calculate the specific heat capacity of the metal.

Answers

Answer:

0.909 J/gºC.

Explanation:

From the question given above, the following data were obtained:

Heat (Q) = 17000 J

Initial temperature (T₁) = 16 °C

Final temperature (T₂) = 38 °C

Mass (M) = 850 g

Specific heat capacity (C) =?

Next, we shall determine the change in the temperature of the metal. This can be obtained as follow:

Initial temperature (T₁) = 16 °C

Final temperature (T₂) = 38 °C

Change in temperature (ΔT)

ΔT = T₂ – T₁

ΔT = 38 – 16

ΔT = 22 °C

Finally, we shall determine the specific heat capacity of the metal. This can be obtained as follow:

Heat (Q) = 17000 J

Change in temperature (ΔT) = 22 °C

Mass (M) = 850 g

Specific heat capacity (C) =?

Q = MCΔT

17000 = 850 × C × 22

17000 = 18700 × C

Divide both side by 18700

C = 17000 / 18700

C = 0.909 J/gºC

Therefore, the specific heat capacity of the metal is 0.909 J/gºC.

Can anyone help me please?

Answers

Answer:

four times the

Explanation:

...........

What’s the mathematical relation between them
:the small mass and the larger mass.

Giving brainlist on this one
I really need help on this one please I’ll be so grateful!

Answers

Explanation:

there is no relationship between small mass and the bigger mass, but it can be related with the acceleration. Since Force is constant, acceleration is inversely proportional to the mass. Greater the mass, lesser is the acceleration and vise versa

Electrons move towards the ________ end.
O negative
O positive
O front
O back

Answers

Answer:

they move towards the positive side... that's option 2

I think is positive

Who knows the answers to this’s problems

Answers

Answer:1. High Intensity Interval Training

HIIT stands for High Intensity Interval Training. HIIT is essentially a type of exercise, be it cardio or resistance training. HIIT. alternates between periods of high intensity, and low intensity (or recovery

2. flexibility and muscular strength

3. true

4. d

5. c

Explanation:

Put these components from largest to smallest

1. comet

2. star

3. galaxy

4. nebula

5. planet

6. universe

Answers

Answer:

6, 3, 2, 5, 4, 1

Explanation:

Let's describe them from smallest to largest. In fact the size order is not exact as there are exceptions.

An asteroid is a rocky body which lies in the asteroid belt between Mars and Jupiter. They are typically quite small object. The largest asteroid Ceres has been reclassified as a dwarf planet.

A moon is typically a rocky body which is in orbit around a planet. Some moons such as our Moon are quite large and are typically bigger than asteroid. Some moons can actually be smaller than some asteroids.

A planet is a nearly spherical body which is in orbit around the Sun. Planets are larger than moons.

A star is what planets orbit around. It is the source of light and heat. Our Sun is a star which is many times bigger than all of the planets.

A solar system is a star and all of its planets, asteroids, comets and other bodies. It is significantly bigger than a star.

A galaxy, such as our Milky Way Galaxy, is a collection of solar systems orbiting around a central core. Most galaxies have a supermassive black hole at their centres.

Galaxies also form clusters which are large scale structures.

The universe is everything. It contains billions of galaxies.

After hearing about an accident on his normal route, Mr. Gujral checks for alternate routes to get to work. What type of circuit does this traffic situation model?

Answers

Answer:

C

Explanation:

a parallel circuit because there is more than one path

Answer:

C) a parallel circuit because there is more than one path

Explanation:

EDGE 2022

Complex matching suggests that individuals who have formed a relationship may differ predominantly in the area of __________.

Answers

Answer:

physical attractiveness

Explanation:

A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circumference is decreasing at a constant rate of 12.0 cm>s due to a tangential pull on the wire. The loop is in a constant, uniform magnetic field oriented perpendicular to the plane of the loop and with magnitude 0.500 T. (a) Find the emf induced in the

Answers

Answer:

emf = - 0.622 V

Explanation:

The electromotive force is given by Faraday's law

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

         Ф = B. A

bold indicates vectors

        Ф = B A cos θ

in this case it is indicated that the magnetic field is constant and the angle between the magnetic field and the normal to the area is parallel, so the cos 0 = 1

       

we substitute

           emf = [tex]- B \ \frac{dA}{dt}[/tex]

the area of ​​the circle is

          A = pi r²

         [tex]\frac{dA}{dt} = \pi 2r \ \frac{dr}{dt}[/tex]

       emf = B 2π r [tex]\frac{dr}{dt}[/tex]

speed is defined

       v = [tex]\frac{dr}{dt}[/tex]

         

we substitute

        emf = - 2π B r v

let's calculate

        emf = - 2π  0.5  1.65  π0.12

        emf = - 0.622 V

Two particles experience an attractive electric force of 5 N. If one of the charges triples and
the distance between them doubles, what is the new electric force?

Answers

3.75 N

Explanation:

F = k(q)(q)/r^2 = 5 N

F' = k(q)(3q)/(2r)^2

= k×3(q)(q)/4r^2

= (3/4)[k(q)(q)/r^2]

= (3/4)F

= (3/4)(5 N)

= 3.75 N

The new electric force is 3.75 N.

The force on the charges by Coulomb's law is given by;

F = kq1q2/r^2

where q1=q2

F = kq1^2/r^2

Where F = 5N

If one of the charges triples;

q2 = 3q1

distance doubles = r = 2r

F' = 3kq1^2/4r^2

So;

F' = 3/4 F

F' = 3/4 × 5 = 3.75 N

The new electric force is 3.75 N.

Learn more about electric force: https://brainly.com/question/1195122

In the diagram, R1 = 40.0 ,
R2 = 25.4 Q, and R3 = 70.8 Q. What is
the equivalent resistance of the group?

Reg = [ ? ]

(And none of those links please)

Answers

Answer:

51 Ω.

Explanation:

We'll begin by calculating the equivalent resistance of R₁ and R₃. This can be obtained as follow:

Resistor 1 (R₁) = 40 Ω

Resistor 3 (R₃) = 70.8 Ω

Equivalent Resistance of R₁ and R₃ (R₁ₙ₃) =?

Since the two resistors are in parallel connection, their equivalent can be obtained as follow:

R₁ₙ₃ = R₁ × R₃ / R₁ + R₃

R₁ₙ₃ = 40 × 70.8 / 40 + 70.8

R₁ₙ₃ = 2832 / 110.8

R₁ₙ₃ = 25.6 Ω

Finally, we shall determine the equivalent resistance of the group. This can be obtained as follow:

Equivalent Resistance of R₁ and R₃ (R₁ₙ₃) = 25.6 Ω

Resistor 2 (R₂) = 25.4 Ω

Equivalent Resistance (Rₑq) =?

Rₑq = R₁ₙ₃ + R₂ (series connection)

Rₑq = 25.6 + 25.4

Rₑq = 51 Ω

Therefore, the equivalent resistance of the group is 51 Ω.

why is it not possible to make use of solar cells to meet all of our energy needs?why​

Answers

Answer:

In the solar cells, the energy is obtained only during the day, when the Sun shines. .So, it increases the cost of using solar panels as the source of energy. So, the solar cell is not used to meet all our energy needs

hope this helps

have a good day :)

Explanation:

Answer:

In the solar cells, the energy is obtained only during the day, when the Sun shines. ... So, it increases the cost of using solar panels as the source of energy. So, the solar cell is not used to meet all our energy needs

Explanation:

n the solar cells, the solar panel convert solar energy into electricity, which is stored in storage battery. The storage battery give the direct current but all the appliances are working by the alternating current, so first of all direct current is converted into alternating current by any suitable appliances before it can be used to run various devices. So it increases the cost of using solar panels as the source of energy. 

I need help?? Plz help me

Answers

Answer:

12. b

13. a

Explanation:

The answer to your question is
12: b
13: a

2.) A red star is 55 solar radii and a white star is 52 solar radii. Which star will 1 point
appear brighter in the night sky?*

Answers

Answer:white star

Explanation:

i’ll give brainliest!! please help and answer correctly! plsss answer quick

Answers

Answer:

i dont think anything will happen so maybe A: the wall is larger than you.

Explanation:

In a plate glass factory, sheets of glass move along a conveyor belt at a speed of 15.3 cm/s. An automatic cutting tool descends at preset intervals to cut the glass to size. Since the assembly belt must keep moving at constant speed, the cutter is set to cut at an angle to compensate for the motion of the glass. The glass is 73.4 cm wide and the cutter moves from one edge to the other in 3.0 s. At what angle to the width of the sheet should the cutter be set to move?

Answers

n a plate glass factory, sheets of glass move along a conveyor belt at a speed of 15.3 cm/s. An automatic cutting tool descends at preset intervals to cut the glass to size. Since the assembly belt must keep moving at constant speed, the cutter is set to cut at an angle to compensate for the motion of the glass. The glass is 73.4 cm wide and the cutter moves from one edge to the other in 3.0 s. At what angle to the width of the sheet should the cutter be set to move

how does energy apply to newton’s laws?

Answers

Answer:

the acceleration of an object is directly pro to the net force acting on it and indirectingly proportional to its mass

A boat produces a wave as it passes an aluminum can floating in a lake. Explain why the can merely moves up and down while waves propagate away from the disturbance caused by the boat.

Answers

Answer:

Due to waves.

Explanation:

The can merely moves up and down because the movement of the waves that propagate away from the disturbance caused by the boat. The Can has low density due to low mass and high volume which allow the can to float on the surface of water after prevent it from the drowning. The wave moves the can up and down but prevent it from going deep inside the water so we can say that the can moves due to movement of waves in water.

Make a free-body diagram of someone pushing a refrigerator that shows:
a. A net force of 100 N with the refrigerator being pushed to the right.
b. The refrigerator is balanced on the floor.

Answers

The free body diagram allows to find the results for the forces applied on the refrigerator are;

       a) Free-body diagram with applied force.

       b) Free-body diagram without applied force.

A free-body diagram is a diagram of the forces without the details of the body, these diagrams are important to clearly visualize the forces and the coordinate systems against which to take measurements.

In the attached we have a free-body diagrams for a refirerator, represented by the box where the forces are appreciated:

The weight that the forces exerted by the earth on the refrigerator. The Normal which is the reaction of the earth to the support of the refrigerator. The force applied by the person. The friction force which is the force between the two surfaces that opposes the movement of the refrigerator.

Newton's second law states that the net force is proportional to the mass times the acceleration of the body.

             ∑ F = ma

where F is the force, m the mass and the acceleration

          ∑ F = F - fr = 100 N

          a = 100 / m

In conclusion with the free body diagram we can find the results for the forces applied on the refrigerator are;

a) Free-body diagram with applied force.

b) Free-body diagram without applied force.

Learn more about the free-body diagram here:  brainly.com/question/16799228

How much (in newtons) does a 15-kg bag of feathers weigh? Show work

Answers

Here's the solution :

we know,

[tex] \boxed{weight = m \times g}[/tex]

where,

m = mass of the objectg = acceleration due to gravity

so,

[tex]w = 15 \times 9.8[/tex][tex]w = 147 \: \: \: newtons[/tex]

The answer is W=147!!!!!

Pls help me...







..............

Answers

Explanation:

The graphs show maximum gravitational potential energy for the pendulum and they correspond to positions #1 and #5.

A student is constructing an investigation on static electricity. The student has three balloons and rubs two of them on a piece of wool. The student then touches each balloon to the wall to observe if static electricity would cause the balloon to stick. What is the independent variable in this investigation.​

Answers

Answer:

Explanation:

As given, the student has three balloons and rubs two of them on a piece of wool. The rubbing of balloon on wool is the independent variable as it was done on two and not on the third as control.

16. A student uses 110 N of force to push a box
across a flat room for 7.2 m. Calculate the
amount of work that the student does. Round
your answer to two decimals and show the
correct units of measure.

Answers

Answer:

792J

Explanation:

Use the formula Force × Distance

With 110 newtons being the force and 7.2 meters being the distance

Which gives 792 and work us measured in joules therefore its joules

Work done is the dot product of force and displacement. The work done on the box to push across the surface for 7.2 m by applying a force of 110 N is 792 J.

What is force?

Force is an external agent acting on a body tp change it from the state of motion or rest.  Force is a vector quantity thus, it is characterized by a magnitude and direction.

When force acting on a body results in displacement of the body, it is said to be work done on the body. The work done on the body is the product of force and displacement.

W = F d.

Given the force acting on the box = 110 N

 displacement d = 7.2 m

Work done w = 110 N × 7.2 m

                       = 792 J.

Therefore, the work done on the box is 792 J.

To find more on work done, refer here:

https://brainly.com/question/13662169

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