what is the moment of inertia of a thin circular ring of mass mm, uniform density, and diameter dd, about an axis through its center and perpendicular to the plane of the ring, as shown in the figure?

Answers

Answer 1

The moment of inertia of the thin circular ring of mass m, uniform density and diameter d about an axis through its center and perpendicular to the plane of the ring is m*d²/4.

Moment of Inertia of a thin circular ring of mass m, uniform density and diameter d, about an axis through its center and perpendicular to the plane of the ring is  m*d²/4.The moment of inertia of a body with respect to a given axis is the sum of the products of all its constituent particles, and each particle's squared distance to the axis, with an appropriate constant. The moment of inertia is a measure of an object's resistance to changes in its rotational motion about a specific axis. For a thin circular ring, mass = m, diameter = d and uniform density = p where p is given by:m = p * πr²Density, p = mass / volumeSince the ring is thin, we can assume that the thickness of the ring is small. Therefore, the volume of the ring can be calculated as:Volume = πr²t (where t is the thickness of the ring)The mass of the ring is given as m. Therefore we can write:m = pVp = m / Vm = p * πr²tAs per the definition of the moment of inertia, we have:I = Σmr²For a thin circular ring, all the constituent particles are at a distance r from the axis of rotation. Therefore we can write:I = Σmr²= Σp * r² * (2πr * t)Here, 2πr * t is the length of the ring.For the given problem, we have a thin circular ring of mass m, uniform density and diameter d. Therefore, we can write the radius of the ring as d/2. Substituting this in the above equation, we get:I = Σp * r² * (2πr * t)= Σ(p * πr²t) * (2πr * t)= p * πt * Σr⁴= p * πt * [(d/2)⁴ + (-d/2)⁴]= p * πt * 2 * (d⁴/16)= m * d²/4 (Substituting for t, p and simplifying the above expression)Therefore, the moment of inertia of the thin circular ring of mass m, uniform density and diameter d about an axis through its center and perpendicular to the plane of the ring is m*d²/4.

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Related Questions

Which graph represents a car with positive acceleration?.

Answers

Explanation: a graph showing a steeper or none uniform or increase

Which graph represents a car with positive acceleration?.

Dos resistencias de 30 y 20 Ω se conectan en seria a un generador que tiene una diferencia de potencial de 20 V entre sus bornes. a. Determina la resistencia equivalente de la asociación b. Dibuja el circuito y coloca un amperímetro que indique el valor de la intensidad de la corriente y unos voltímetros que muestren la diferencia de potencial entre los extremos de las resistencias ¿Qué valores muestran estos aparatos?

Answers

Answer:

   V = 12V,  V = 8V

Explanation:

a) In this series circuit the equivalent resistance is

          Req - R1 + R2

          Req = 30 + 20

          Eeq = 50 Ω

b) see attached

c) the circuit current is

          i = V / Req

          i = 20/50

          i = 0.4 A

voltages are>

         V = 0.4 30

          V = 12V

           V = 0.4 20

            V = 8V

The magnitude of the angular momentum of the two-satellite system is best represented by

Answers

The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

What is angular momentum.?

The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.

It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

The magnitude of the angular momentum of the two-satellite system is best represented as;

L=∑mvr

L=m₁v₁r₁-m₂v₂r₂

Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

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Each word must begin with that letter. Tell me about the water cycle in a few words or phrases.
W:
A:
T:
E:
R:
C:
Y:
C:
L:
E:

Answers

Answer:

Water

All life depends on water

Transpiration

Evaporation

Rain falls from the sky

Condensation

You cannot live without fresh water

Circulating water between ocean and atmosphere is part of water cycle

Liquid water to water vapor is evaporation

Energy from the sun drives the water cycle

Explanation:

The first letter of each word makes up WATERCYCLE.

I hope this helps!

why can't you run from momentum ?

Answers

Two kids walk through the woods discussing momentum. I mean, who wouldn’t?
Okay, fine. It’s a basic introduction to the concept of momentum.

How is the answer D?

How is the answer D?

Answers

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

What is the period of a wave?

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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1. Gravity depends on two things. What two things does gravity depend on? 10pts
SCI

Answers

Gravity depends on the mass of objects and distance.

The more mass the more gravitational force, the more distance between two objects the less gravitational force.

3. Your glasses are dropped from the Grand Canyon. Find the distance after 4.5 seconds.
A-44.1 m
S-99.25 m
D- 4.13 m
A-198.45 m

Answers

The distance after 4.5 seconds is

101.275 m.

How to find the distance

The distance a falling object travels can be calculated using the equation:

distance = initial velocity x time + (1/2) x acceleration x time^2

Since the object was dropped, its initial velocity is zero, and the acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values:

distance = 0 x 4.5 + (1/2) x 9.8 x 4.5^2

distance = 0 + (1/2) x 9.8 x 20.25

distance = 101.275 m

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A plane has a mass of 2,000 kg and is traveling 100 meters above the ground. What is the plane’s potential energy?

I NEED THE ACTUAL ANSWER!

Answers

Answer: 1964000 Joules

Explanation:

PE = mgh

What is the reason for a stone sink in the water but a plastic floats?


Select one:
A.
The density of plastic is greater than stone
B.
Mass of the stone is greater than mass of plastics.
C.
The density of plastic is greater than water.
D.
The density of stone is greater than water.​

Answers

I believe it’s D) the density of stone is greater then water hope this helps :)
D.) The density of the stone is greater than water.
If something is more dense than water it sinks but if it’s less dense it floats. The plastic floats because the plastic is less dense than the water but the stone sinks because it is more dense

If a box that weights one pound (5 newtons) needs to be moved, how much force needs to be applied to move it?
A. Less than 5 Newtons
B. Exactly 5 Newtons
C. Any force greater than 5 Newtons
D. Not enough information provided

Answers

Answer:

A

Explanation:

The quantum number of an atom's highest-energy valence electrons are n=5 and l=1. The element to which this atom belongs could be a

Answers

The quantum mechanical model of the atom, each subshell is characterized by a letter designation that corresponds to its value of l. The subshell with l=1 is the p subshell, which can hold a maximum of 6 electrons.

Therefore, the element to which this atom belongs must have its highest-energy valence electrons in the 5p subshell. There are several elements that have their valence electrons in the 5p subshell, including antimony (Sb), tellurium (Te), and iodine (I).

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(c) A moving train has a kinetic energy of 8.1 x 10(power of 6)J.
The train makes an emergency stop.
It decelerates to rest in a distance of 270 m.
(i) Calculate the average friction force provided by the brakes.
answer

Answers

the friction force provided by the brakes is 30000 N.

What is friction force?

Friction force is the force that opposes the motion between two bodies in contact.

To calculate the average friction force provided by the brakes, we apply the formula below.

Formula:

K.E = F'd............. Equation 1

Where:

K.E = Kinetic energy of the trainF' = Friction force provided by the brakesd = distance

Make F' the subject of the equation

F' = K.E/d............ Equation 2

From the question,

Given:

K.E = 8.1×10⁶d = 270 m

Substitute these values into equation 2

F' = (8.1 ×10⁶)/270F' = 30000 N

Hence, the friction force provided by the brakes is 30000 N

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When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
The round shape of the ball.
The way the ball is thrown.
The force of air against the ball.
The force of gravity on the ball.
to
+ Previous
Next

Answers

Answer:

The force of Gravity on the ball

Explanation:

Gravity of earth pulls the ball back down to the ground.

Which of the following is true about scientific laws?

Answers

Answer: Scientific theories are never proven.

Explanation:

calculate the ideal efficiency of an engine in which fuel is heated to 1300 k and the surrounding air is 200 k .

Answers

The ideal efficiency of an engine can be calculated using the Carnot efficiency formula, which depends on the temperatures of the hot and cold reservoirs. Given the fuel temperature of 1300 K and the surrounding air temperature of 200 K, the ideal efficiency can be determined.

The ideal efficiency of an engine is given by the Carnot efficiency formula: efficiency = 1 - (Tc/Th), where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir. In this case, the fuel temperature of 1300 K represents the hot reservoir, and the surrounding air temperature of 200 K represents the cold reservoir.

Substituting the values into the formula, we have efficiency = 1 - (200/1300). Simplifying the expression gives us the ideal efficiency of the engine.

The Carnot efficiency represents the maximum efficiency that an engine can achieve when operating between two temperature extremes. It is based on the idealized Carnot cycle, which assumes reversible processes. Efficiency is a measure of how effectively the engine can convert thermal energy into useful work. In this case, the given temperatures allow us to calculate the ideal efficiency of the engine.

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1)the car's engine power is 44000W. Explain this number in a physical sense
...
2)400g masses in April, rising steadily over 20s reaches 100m high. What power is developing in April
...
3)the bullet is fired vertically upwards at a speed of 600 / m / s. to what maximum height it would rise if there were no air resistance
...

Answers

Answer:

1) It expresses the rate (top speed) at which it can move with time.

2) P = 20 W

3) h = 18 km

Explanation:

1) Power is the rate of transfer of energy.

⇒ Power = \(\frac{Energy(or workdone)}{Time}\)

i.e P = \(\frac{E}{t}\)

Thus a car's engine power is 44000W implies that the engine of the car can propel the car at this rate. This expresses the rate (top speed) at which it can move with time.

2) m = 400g = 0.4 kg

    t = 20 s

h = 100m

g = 10 m/\(s^{2}\)

P = \(\frac{mgh}{t}\)

  = \(\frac{0.4*10*100}{20}\)

  = \(\frac{400}{20}\)

P = 20 W

3) u = 600 m/s

   g = 10 m/\(s^{2}\)

From the third equation of free fall,

\(V^{2}\) = \(U^{2}\) - 2gh

V is the final velocity, U is the initial velocity, h is the height.

0 = \((600)^{2}\) - 2 x 10 x h

0 = 360000 - 20h

20h = 360000

h = \(\frac{360000}{20}\)

  = 18000

h = 18 km

The maximum height of the bullet would be 18 km.

hey guys, l need some help! what is the weight of potatoes of mass 75 kg on the surface of the earth? (g=9.8m/s square) ans=735N l need process

Answers

Answer:

735N

Explanation:

Weight is a measurement of force.

F = Force

m = mass

a = acceleration

F = m*a

F = 75kg*9.8m/s²

F = 735N

which of the following is NOT an example of newton’s 1st law. Law of inertia ?

A. a rocket ship taking off
B. a soccer ball rolling until it hits the net
C. car hitting the breaks causing you to fly forward

Answers

Answer:

I'm not for sure but I think it's B

Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped

Answers

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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which of these methods is used to determine which component in a circuit isn't working properly? voltage test, ohm amp draw or hopscotching

Answers

All of these methods can be useful in identifying a faulty component in a circuit, and which one to use depends on the specific situation and the experience of the troubleshooter.

When a circuit component fails, it can cause the entire circuit to malfunction. Troubleshooting a circuit requires identifying the problematic component so that it can be replaced or repaired. There are different methods to determine which component is not working properly, including voltage testing, ohm amp draw, and hopscotching.

Voltage testing involves measuring the voltage at various points in the circuit to identify where the voltage drop occurs, which can indicate a faulty component.

Ohm amp draw involves measuring the resistance and current flow through each component to determine if any are outside of their expected range.

Hopscotching involves checking each component in the circuit one by one, starting from the power source, to see which one is causing the problem.

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What are the poles of a bar magnet.is it North West South or east.​

Answers

Answer:

One end of any bar magnet will always want to point north if it is freely suspended. This is called the north-seeking pole of the magnet, or simply the north pole. The opposite end is called the south pole.

Explanation:

Answer:

North Pole and South Poles

Explanation:

There is no east or west in a magnetic field of a magnet. The magnetic field lines comes from North pole to south pole.

Under what conditions is hooke’s law invalid? what is simple harmonic oscillation?.

Answers

One condition under which Hooke's law is invalid is when the spring is stretched beyond its elastic limit. Simple harmonic oscillation is a type of motion that occurs when a system is displaced from its equilibrium position and experiences a restoring force that is proportional to the displacement.

Hooke's law is a principle that states that the amount of deformation or stretching of a spring is proportional to the force applied to it. This law holds true only under certain conditions, and it can become invalid in certain circumstances.

One condition under which Hooke's law is invalid is when the spring is stretched beyond its elastic limit. The elastic limit is the point beyond which the spring will no longer return to its original shape and size when the applied force is removed. When a spring is stretched beyond its elastic limit, it can become permanently deformed and may not obey Hooke's law.

Another condition under which Hooke's law is invalid is when the spring experiences plastic deformation. Plastic deformation occurs when a spring is stretched beyond its yield point, which is the point at which it can no longer support the applied force without undergoing permanent deformation. When a spring undergoes plastic deformation, it will not obey Hooke's law and will not return to its original shape and size.

Simple harmonic oscillation is a type of motion that occurs when a system is displaced from its equilibrium position and experiences a restoring force that is proportional to the displacement. This type of motion is characterized by a periodic motion in which the system oscillates back and forth around its equilibrium position.

In a simple harmonic oscillator, the system's displacement is proportional to the force applied to it, and the system oscillates at a constant frequency. This type of motion is found in many systems, including pendulums, springs, and electrical circuits.

In summary, Hooke's law is only valid under certain conditions and can become invalid when a spring is stretched beyond its elastic limit or undergoes plastic deformation. Simple harmonic oscillation is a type of motion characterized by a periodic motion in which a system oscillates back and forth around its equilibrium position.

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what is reliability in science

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Answer:

In the context of science, reliability refers to the consistency, repeatability, and stability of research findings or measurements. It is a measure of how dependable and trustworthy the results or data are within a given scientific study or experiment.

Reliability is crucial because scientific knowledge is built upon the ability to replicate and verify findings. If a study's results are unreliable, it becomes challenging to draw accurate conclusions or make meaningful interpretations.

In scientific research, reliability is assessed through various methods, including:

1. Test-Retest Reliability: This measures the consistency of results when the same test or measurement is repeated on the same subjects under the same conditions. If the results are consistent across multiple repetitions, the measure is considered reliable.

2. Inter-Rater Reliability: This examines the agreement between different observers or raters who are assessing the same phenomenon or data. If there is a high level of agreement between multiple observers, the measure is considered reliable.

3. Internal Consistency Reliability: This assesses the consistency of results across items or questions within a single measure or instrument. For example, in a survey, if multiple questions designed to measure the same construct yield consistent responses, the measure is considered reliable.

4. Parallel Forms Reliability: This evaluates the consistency of results between different but equivalent forms of a test or measure. If the results from the different forms are consistent, the measure is considered reliable.

Reliability is an essential aspect of scientific research as it ensures that findings are accurate, reproducible, and trustworthy. It allows scientists to have confidence in their results and builds a foundation for further advancements and discoveries in various fields of study.

why do the stars appear like pointed objects​

Answers

Answer:

because of where we are and our distance away from them, in reality they're giant balls of burning gas, like the sun. some stars are even bigger than the sun

Explanation:

What is molasses?
dye
sugar
brown candy
brown syrup

I need help fast please I will give you extra points

Answers

Answer: Brown syrup

Explanation:

Answer:

syrup

Explanation:

what is the drift velocity of the electrons in a wire of diameter 1.7 mm that carries a current of 4 a? assume that the wire material has an electron density of 5.8x1020 cm-3.

Answers

The drift velocity of the electrons in the wire is approximately 7.03 × 10⁵ m/s.

The drift velocity of electrons in a wire can be calculated using the formula:

vd = I / (n * A * q)

where vd is the drift velocity of the electrons, I is the current in the wire, n is the number density of electrons in the wire material, A is the cross-sectional area of the wire, and q is the charge of an electron.

We are given the current I = 4 A and the wire diameter, so we can calculate the cross-sectional area of the wire:

A = π * r²

= π * (1.7/2*10⁻³m/2)²

= 2.268 × 10⁻⁶ m²

We are also given the electron density n = 5.8 × 10^20 cm^-3, which can be converted to m⁻³ by multiplying by 10^6:

n = 5.8 × 10²⁶ m⁻³

The charge of an electron q is -1.602 × 10⁻¹⁹ C.

Now we can plug in these values to calculate the drift velocity:

v_d = I / (n * A * q)

= 4 A / (5.8 × 10²⁶ m⁻³ * 2.268 × 10⁻⁶ m² * -1.602 × 10⁻¹⁹C)

= -7.03 × 10⁻⁵m/s

The negative sign indicates that the electrons are flowing in the opposite direction of the conventional current. Therefore, the drift velocity of the electrons in the wire is approximately 7.03 × 10⁵ m/s.

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. Why are the Jovian planets formed from materials different from the terrestrial planets?
a. Terrestrial planets were protected by the asteroid belt between Mars and Jupiter.
b. The composition of elements in a planet was a random process after the big bang.
c. When the solar system first formed, the heaviest elements sank toward the center of the nebulae and the lightest elements floated out.
d. Gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."
e. Only the terrestrial planets formed from planetesimals.

Answers

The Jovian planets are formed from materials different from the terrestrial planets for the reason that gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

A Jovian planet, also known as a gas giant, is a huge planet that has a primarily gaseous composition. The Jovian planets include Jupiter, Saturn, Uranus, and Neptune. They are primarily made up of hydrogen and helium, and they have enormous atmospheres.Jovian planets are formed farther away from the heat of the Sun, so they are formed from lighter-weight nebulae "dust." Terrestrial planets, on the other hand, are formed nearer to the Sun, so they are formed from heavier-weight nebulae "dust." The density of the materials that make up the Jovian planets is lower than that of the terrestrial planets due to this. This means that the Jovian planets have lower densities and a greater volume than the terrestrial planets.

Hence, the correct option is d. Gaseous Jovian planets, formed farther away from the heat of the Sun, are formed from light weight nebulae "dust."

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What is Al's hypothesis?
options:

If I freeze fresh water and salt water then the salt water will freeze more quickly because salt increases the freezing point temperature.


If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature


If I freeze fresh water and salt water then both will freeze at the same time because salt doesn't affect the freezing time.


If I freeze cool aid and water then the water will freeze more quickly because cool aid increases the freezing point temperature.

Answers

Answer:

This is your answer

If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature

Explanation:

I hope it helped you

Object A has a temperature of 3 T. It comes in contact with Object B, which has a temperature of 2 T. Which of the following is true?(1 point)

Answers

1)heat will flow from object A to object b, 2)110,601J ,3)48, 4)you can change how easily electrons move through them,5)The electric field is all around the paper including between them,6) the last graph,7)gain as much energy as they lose, 8)a changing magnetic field produces an electric current, 9)discovering that a moving magnet generated a current in a conductor and proving that the magnitude of the current depended on the number of coils in the conductor,10)frequency,11)6km,12)The pitch gets higher because of an increase in frequency,13) the density of the medium, 14)The frequency of a sound does not affect the speed at which it travels,15)A and D, 16)Grass absorbs all light except for green, which it reflects,17)As temperature increases, the speed of sound increases because molecules in the medium collide more frequently,18)Yes, in certain situations, just like all particles, 19)particle model Decause the atom's electron absorps and emits eneray in discrete wavelengths, 20)9 x 107 J, 21)The number of electrons is equal to the number of protons,22)the daughter nuclide has one more proton and one less neutron than the parent nuclide,23)Away from Earth,24)time and amount or exposure

Here all all the answers took the test there all right

Both objects will have the same temperature,  larger than T but smaller than 2T.

What is the thermodynamic equilibrium?

A system in equilibrium if there is no change in temperature after long time.

Assuming the system of two objects with the temperatures 3T and 2T.

When we put them together, heat transfer from the hotter object to the colder one takes place, until both of them have the same temperature

Also, the object with temperature 3T loses temperature, while the object with temperature 2T increases its temperature,

2T < T < 3T

Thus, both objects will have the same temperature, which is larger than 2T but smaller than 3T.

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