The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle

Answers

Answer 1

Answer:

Explanation:

period is 2pi / B which is 2pi/8 which is 1/4 pi

amplitude is a which is 10


Related Questions

How do you calculate torque of a shaft?

Answers

Divide the radius by the shear stress and the polar moment of inertia to find the shaft torque.

A device that measures shaft torque records the degree to which a shaft will twist in the presence of a specific amount of force. A shaft will twist less than one with a torque of 3 degrees than one with a torque of 5 degrees, and so on.

Does torque equate to rotation?

The rotating equivalent of force is torque. So an object will rotate with an angular acceleration in response to a net torque. A torque must be described about the rotational axis since every rotational motion has an axis of rotation. A torque is an applied force that rotates an object about its axis.

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Escriba una oracion empleada de dos adjetivos de significado opuesto unidos por la exprecion y a la ves

Answers

Answer:

El castigo de Juan fue justo y a la vez injusto.

Explanation:

Adjetivos opuestos: justo - injusto

La oración significa que el que castigo era merecido, sin embargo, puede ser algo exagerado por lo tanto algo injusto. Describiendo la situación con adjetivos con significado opuesto al mismo tiempo, mediante un conector de simultaneidad que es y a la vez.

The human ear canal is about 2. 8 cm long and can be regarded as a tube open at one end and closed at the eardrum. What is the frequency around which we would expect hearing to be best when the speed of sound in air is 344. 5 m/s? (hint: find the fundamental frequency for the ear canal. )

Answers

The human ear canal is closed at one end. Thus, the fundamental frequency of the given ear canal is 3044.64Hz 3044.64 Hz .

Calculation and Explanation:

Under air conduction (AC) excitation, the mean resonance frequency of the human middle ear is estimated to be between 0.8 and 1.2 kHz. The typical resonance frequency under bone conduction (BC) excitation, according to research, is higher, at 1.5–2 kHz.

It is a tube with an open end (the concha section) and a closed end (the tympanic membrane), which responds to a quarter-wave by behaving as a resonator. The resonance frequency is described by the equation F=v/4L, where "v" stands for the speed of sound and "L" for the length of the EAC.

The EAR formula should be used: EAR = (1+ i/n)n - 1. I = Stated interest rate, etc.

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When a newly forming star is at its greatest luminosity, what is its energy source?
A. nuclear fusion of hydrogen into helium
B. A newly forming star has no energy source because it does not shine at all until it becomes a true main-sequence star.
C. radioactive decay of unstable isotopes
D. gravitational contraction

Answers

The correct option is D, when a newly forming star is at its greatest luminosity, its energy source is gravitational contraction.

Gravitational contraction is the process by which objects in the universe collapse under their own gravity. It occurs when the internal pressure of an object is not strong enough to resist the pull of gravity. This can occur on small or large scales, from the collapse of a gas cloud to form stars to the collapse of entire galaxies.

As an object collapses, its temperature and density increase, and the collapse accelerate due to gravitational potential energy being converted into kinetic energy. This process can lead to the formation of stars, planets, and other objects in the universe. It is also the source of much of the energy released by stars, which powers the universe. Gravitational contraction is an important part of the astronomical theory of the formation of galaxies, stars, and planets.

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The current in a ________
Answer here
circuit is the same at every point?

Answers

Answer:

Series.

Explanation:

Current is the same in each device since there is only a single pathway for the charge to flow.

a ball is thrown vertically upwards. After resistance is negligible. What is the variation with tiem fo t of the kinetic energy E_k of hte ball

Answers

The variation with time of the kinetic energy E_k of the ball is that it decreases. This is because gravity is acting against the ball and slowing it down, so the kinetic energy is decreasing as the ball slows down.

When the ball is released, the initial kinetic energy, E_k, is given by the equation: E_k = mgh, where m is the mass of the ball, g is the gravitational acceleration, and h is the initial height of the ball. As the ball rises, its height increases, and the potential energy, U, increases. However, this increase in potential energy is at the expense of kinetic energy, so the kinetic energy decreases as the ball rises.  

When the ball reaches its maximum height, its kinetic energy is zero as it is at rest. As the ball then begins to fall, its potential energy decreases, and its kinetic energy increases. This is because the ball is falling under the action of gravity, and thus its kinetic energy increases as it accelerates downwards.  Overall, the kinetic energy of the ball decreases as it rises and increases as it falls.

This is due to the conservation of energy, which states that the total energy of a system remains constant. As the potential energy increases, the kinetic energy decreases, and vice versa.

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Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of theforce between the two charges?

Answers

A negatively charged object is one that has more electrons than protons.

What is the negative charge?

A negative charge is present when an object has more electrons than protons. An atom has a positive charge when there are more protons than electrons in it. The charges of protons are positive while those of electrons are negative. The coulomb is used to measure charge (C).

The opposite of a charge's attraction is the opposite of its repellency. Therefore, a positive charge attracts a negative charge, whereas two negative charges repel one another. Along the boundary between the two charges, attraction or repulsion occurs.

Along the line that connects the centres of the two objects, the force is applied in that direction. Coulomb's law results in a negative value if the two charges have opposing signs. As a result, the force separating the particles is an attractive force.Coulomb's law produces a favourable outcome if the two charges have the same signs.

Therefore, the answer is 12.4 c positive.

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Two objects with negative charges of 6.2 nC (Coulomb) each are separated by 0.3 m. the size and direction of the force between the two charges is 3.8387038*10^12 N and toward left.

What is Coulomb?In the International System of Units, the unit of electric charge is the coulomb. It is equivalent to 5 1027/801088317 elementary charges in the current version of the SI, as well as the electric charge given by a 1 ampere continuous current in 1 second, e.

Solution:

Given :

Two objects with negative charges of 6.2 nC (nano coulomb ) each.

Separation= 0.3 m.

We will use the following Coulomb’s Law.

F = k*|q1| |q2|/r2             ∵ where k = 8.9876 × 109 N·m2

Putting the values, we get

F = 8.9876 × 109*|6.2| |6.2|/0.3^2

F=3.8387038*10^12 N

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state 2 precautionary measures you would take to maintain the efficiency of an accumulator​

Answers

On gas-loaded accumulators, safety devices like relief valves, burst discs, and temperature fuse plugs are all used as  precautionary measures to maintain the efficiency​.

What are accumulators?

Accumulators are pressurized containers that can hold fluid. When a system needs a boost in power, this stored energy can be used, recharged, and then used again. The right precautions should be taken to keep pressure and temperatures under control because this stored energy can be hazardous.

On accumulators, a number of modest but crucial accessories can be placed to stop the release of this stored energy and guarantee that temperatures stay within their safe operating range.

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suggest how the thermal conductivity of a metal depends on its temperature​

Answers

Answer:

With an increase in temperature, the electrical conductivity of a pure metal decreases. This implies that the thermal conductivity of the pure metal shows little variance with an increase in temperature. However, a sharp decrease is observed when temperatures approach 0K

Arrange the objects from smallest to largest. swap_vert The diameter of Europa swap_vert The diameter of the rings around Saturn swap_vert The diameter of Charon

Answers

According to the given information the correct order is Charon ,Europa, Rings around Saturn.

What does diameter mean?

A straight line that cuts through the middle of a figure and body is called a diagonal. Particularly: the width of a diameter; a line segment passing thru the center of the circle with its endpoints on the circumference.

What is larger, diameter or width?

A circle's diameter is measured as the width of a line connecting its two center points. Since diameter only applies to circular or circularly based objects, such as a sphere or cylinders, the length and width must always be equal.

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Answer:

the order goes

G

E

C

A

Explanation:

Hope this helps.

What are the two primary factors that control what type of magma erupts from a volcano and what type of volcano it will create?

Answers

Answer:

answers are located on the picture attached to this answer

Explanation:

Which of the following is an important starting assumption in models of galaxy formation?
A) Galaxies form first, then black holes.
B) All galaxies start out as spiral galaxies.
C) Black holes form first, seeding the formation of galaxies.
D) Some regions in the universe start out denser than others.

Answers

The  assumption which is important in models of galaxy formation is  Some regions in the universe start out denser than others. Option (D) is correct.

Models of galaxy formation begin with the premise that the universe was initially mostly uniformly filled with hydrogen and helium gas, with some regions of this gas being slightly denser than others.

The nucleus, a central bulge, a disc, spiral arms, and a large halo are the four main structural divisions of this structure. Some of the elements combine with one and other. A small portion of the galaxy, the galactic core is located about 400 light-years from the Milky Way's centre. Massive gas clouds which collapse and rotate are the initial point for galaxies. Stars develop within them as they develop. The collision of entire galaxies can change their appearance. When we look far into space, we can observe galaxies in their infancy.

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which one is the lunar eclipse?​

Answers

Answer:

Yes it would be a lunar eclipse here is an image that I found that might help but during a lunar eclipse when the moon is directly behind earth it will be a full moon

Explanation:

Salt dissolves in water to form saltwater. Is this considered a chemical change or a physical change

Answers

Salt dissolves in water to form saltwater. This kind of change is regarded as a chemical change.

A physical change is a kind of change in which only the physical properties of matter change. In a physical change, neither the composition nor the chemical nature of matter is changed.

A chemical change involves a chemical process that results in the production of new substances. When you dissolve salt in water the sodium chloride dissociates in Na+ and Cl- ions which can be written in the form of a chemical reaction as,

NaCl →  Na+(aq) + Cl-(aq)

Thus, dissolving salt in water is an example of a chemical change.

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The set of spectral lines that we see in a star's spectrum depends on the star's (a) atomic structure. (b) chemical composition. (c) rotation rate.

Answers

The set of spectral lines that we see in a star's spectrum depends on the star's (b) chemical composition, (d) temperature.

The spectral lines of a star are determined by its chemical composition and temperature. These properties determine the number and type of atoms present in the star's atmosphere. Each type of atom has its own unique set of spectral lines, and the temperature of the star determines the energy level of the atoms, which affects the wavelengths of the spectral lines emitted. The rotation rate and atomic structure of a star do not affect the set of spectral lines we see in its spectrum.

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What is the velocity of the particle at time t 0?

Answers

The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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. Suppose a positively charged object A is brought in contact with an uncharged object B in a closed system. What type of charge will be left on object B

Answers

Charging by Contact is positive. On object B, a positive charge will remain.

What is Charge?

The fundamental physical property of matter, electric charge, exerts a force when kept in an electric or magnetic field. A magnetic field is produced by a moving electric charge, and an electric charge is associated with an electric field. Magnetic and electric fields combine to form the electromagnetic field. The interaction of the charges results in the electromagnetic force, which is the fundamental force in physics. Throughout this session, tell us about electric charges, their types, and their traits.

A scalar quantity is an electric charge. Only when a quantity complies with the laws of vector addition, such as the triangle law of vector addition and the parallelogram law of vector addition, can it be said to be a vector in addition to having a magnitude and direction. In the case of an electric current, the resultant current of these two currents at a junction is an algebraic sum rather than a vector sum. Therefore, despite having magnitude and direction, an electric current is a scalar quantity.

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How does the gravitational pull of different objects in space affect other objects in space?

Answers

Answer:

Every object in space exerts a gravitational pull on every other.

Explanation:

gravity influences the paths taken by everything traveling through space. It is the glue that holds together entire galaxies. It keeps planets in orbit. It can also cause life-destroying asteroids to crash into planets.

A coin placed 0.30 m away from the center of a rotating, horizontal turntable just begins to slip when its translational speed is 0.50 m/s. What is the coefficient of static friction between the coin and the turntable

Answers

According to the given statement The coefficient of static friction was found to be about 0.0850.

What is static friction ?

Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located.

The graph below depicts the turntable's constant maximum speed and the centripetal acceleration of the coin.

(a) The centripetal acceleration is caused by static friction.

(b) Using the diagram below,

mai^=fi^+nj^+mg(−j^)

Fy=0nmg, thus n=mg, and Fr=mrv2=f=n=mg

Then, \sμ=rgv²=(30.0cm)(980cm/s2)(50.0cm/s)²

=0.0850

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The complete question is -

A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s. (a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?

can some one help me with my last question please i really need help​

Answers

Answer: yeah for sure but post the picture

Explanation:

Lol

1. What happens to an atom when it gains electrons? *

Answers

Answer: An atom that gains or loses an electron becomes an ion. If it gains a negative electron, it becomes a negative ion. If it loses an electron it becomes a positive ion

Answer:

when an atom gains electrons, it gains a negative charge

Explanation:

hope I helped you

The Cessna Cardinal, a single-engine light plane, has a wing with an area of 16. 2 m^2, and an aspect ratio of 7. 31. Assume the span efficiency factor is 0. 62. A. If the airplane is flying at standard sea-level conditions with velocity of 251 km/h, what is the induced drag when the total weight is 9800N b. Calculate the induced drag when the

Answers

The Cessna Cardinal, a single-engine light plane, has a wing area of 16.2 m² and an aspect ratio of 7.31 with span efficiency factor of 0.62 then the induced drag when the total weight is 9800 N is 18.8 N.

Given that,

Wing area (A) = 16.2m²

Aspect ratio (r) = 7.31

Efficiency factor (e) = 0.62

Weight of plane (W) = 9800 N

Velocity of airplane (v) = 251 km/h = 251× 5/18 = 69.72 m/s

We know,

Dynamic pressure (p) = 1/2ρv²

where ρ is density of plane = 1.225

p = 1/2 × 1.225 × 69.72 × 69.72 = 2977.29 pa

Lift coefficient Cl = W/p × A = W/(1/2ρv²) A

where, A is the area of wing

Cl = 9800/2977.29 × 16.2 = 0.203

Induced drag coefficient (Cd) = Cl²/πer² = (0.203 × 0.203)/(π × 0.62 × 7.31 × 7.31) = 0.041/(104.08) = 0.39×10⁻³

Induced drag (d) = p × A × Cd = 2977.29 × 16.2 × 0.39 × 10⁻³ = 18.8 N.

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Match Column A with Column B. Write the letter of your answer on the space provided.
Column A
1. boiling point
2. oven toasters
3. "C
4. "moving"
5. grease
6. thermometer
7. Energy at rest
8. Radiant energy
9. calories
10. coal
Column b
a. lubricants
b. Celsius
c. temperature
d. potential energy
e. 100 °C
f. electricity
g. kinetic fricion
h. heat
i. spontaneous combustion
j. light energy
k. energy
​I meant to put chemistry not physics lol

Answers

Answer:

1. e

2. f

3. b

4. g

5. a

6. c

7. d

8. j

9. k

10. i

The points of Column A with Column B related to unit measurement, temperature and energy are matched with their appropriate option.

[tex]1-2-3-4-5-6-7-8-9-10\\ e-f-b-g-a-c-d-j-k-l[/tex]

What is energy?

Energy is the capacity of a object to do a work. More the energy object posses, more the work it can do.

The main categories of energy

1. Kinetic—The energy of moving objects.2. Potential—The energy stored in objects.

Let's match the point of Column A with Column B.

1. Boiling point of water is at 100 degree Celsius.2. Oven toasters is the electric device which runs on the electricity.3. "C" is symbol which represent the Celsius to show the temperature of a body on the Celsius scale.4. Kinetic friction is the force which is enforce between the moving surface. 5. Grease is used as the lubricants. This is a semi-solid lubricants used in moving or rotating system to avoid friction.6. Thermometer is device which is used to measure the temperature of the body.7. Energy at rest is called the potential energy. Potential energy is the stored energy of the body which it posses due its position.8. Radiant energy is the type of electromagnetic energy which is the form of light energy.9. Calories is the unit of measurement which is used to measure the energy of a body. 10. The burning of coal provides spontaneous combustion.

Thus, the points of Column A with Column B related to unit measurement, temperature and energy are matched with their appropriate option.

[tex]1-2-3-4-5-6-7-8-9-10\\ e-f-b-g-a-c-d-j-k-l[/tex]

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Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?

Answers

Answer:

t = (x_ball + 8 ) / 0.6

Explanation:

To solve this problem, we can use the equations of motion for the paper ball and Alberta, and then set them equal to each other to find the time and position where they will meet.

The equation of motion for the paper ball is:

x = x0 + v0t + (1/2)at^2

where x is the position of the paper ball, x0 is the initial position (the door), v0 is the initial velocity (2.4 m/s to the right), t is the time, and a is the acceleration (which is 0 for a thrown ball).

The equation of motion for Alberta is:

x = x0 + v0t + (1/2)at^2

where x is the position of Alberta, x0 is the initial position (8 m to the right), v0 is the initial velocity (-0.6 m/s to the left), t is the time, and a is the acceleration (which is 0 for a person running).

If we set these two equations equal to each other, we get:

x_ball = x_alberta

x0 + v0t + (1/2)at^2 = x0 + v0t + (1/2)at^2

This simplifies to:

x_ball = x_alberta

Then we know that both x_ball and x_Alberta are the same point in space (where Alberta met the paper ball)

Now to find time, we need to use one of the original equation for time t. Using equation of motion for Alberta,

x_Alberta = x0 + v0t

So, t = (x_Alberta - x0) / v0

t = (x_ball - 8 ) / (-0.6) = (x_ball + 8 ) / 0.6

The negative sign of velocity of Alberta tells that she is running towards left whereas ball is thrown towards right.

So we can find time and position where Alberta will meet the paper ball by plugging in the specific distance (x_ball) and known values for x0, v0 and acceleration.

What is the intensity of 60 dB sound?

Answers

The intensity of 60 dB sound is 10⁻⁶ W/m².

A common conversation between two persons seated at a distance of around one meter (3 14 feet) is as loud as 60 dB. It is equivalent to the typical noise level in a restaurant or office.

The decibel scale is a logarithmic one rather than a linear one. Accordingly, 10 dB denotes a sound that is 10 times louder than 0 dB, which represents no sound at all. Now, a sound at 20 decibels is 100 times louder than one at 0 decibels. And so on until a sound that is 100 decibels is 1 billion times louder than total silence (0 decibels).

A sound at 60 dB is therefore 100 times louder than a sound at 40 decibels and 1000 times louder than a sound at 30 decibels, while being 10 times louder than a sound at 50 decibels.

The formula for sound volume is L = log(I/I₀), or (I/I₀) = 10^L.

Given that L = 60dB = 6bel and that we know that I₀ = 10⁻¹² W/m²,

I/I₀ = 10⁶.

or I = 10⁻¹² × 10⁶ = 10⁻⁶ W/m²

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Which organism would most likely have new gene combinations?

Answers

Answer:

a hamster resulting from sexual reproduction

Two long parallel conductors carries I1 and I2 in opposite directions. Determine the magnetic field between the wires

Answers

Answer:

B1 = μ_o•I1/2πr

Explanation:

According to the right hand rule, we can say that the magnetic field at the second wire due to the current being carried in first wire is given by;

B1 = μ_o•I1/2πr

Where;

r is distance that separates the two wires

μ_o is a constant known as permeability of free space

I1 is current in wire 1

What is the efficiency of a solar cell if 1000 J of solar energy hits the
cell and 200 J are converted into electrical energy?

Answers

Answer:

Efficiency = 20%

Explanation:

Given the following data;

Input energy = 1000 Joules

Output energy = 200 Joules

To find the efficiency of the solar cell;

[tex] Efficiency = \frac {Out-put \; energy}{In-put \; energy} * 100 [/tex]

Substituting into the formula, we have;

[tex] Efficiency = \frac {200}{1000} * 100 [/tex]

[tex] Efficiency = 0.2 * 100 [/tex]

Efficiency = 20%

A car goes into a skid and comes to a gradual stop, accelerating at a constant rate to do so. At the midpoint of the skid, how much of its kinetic energy has the car lost (as a percentage, give % as the units)?

Answers

The percentage of the lost kinetic energy of the car, at the midpoint of the skid, is 50%.

In physics, work is the measurement of the energy used to move objects. When you are walking, you're using energy to move your body so the work done would be greater than zero.

According to work-energy theorem, work is equal to force times displacement (W = F · x).

A type of energy is kinetic energy, which is the energy of a moving object. If an object is at rest, its kinetic energy is zero. Kinetic energy is equal to one half of a mass times velocity squared (KE = 0.5 · m · v²).

When a car goes into a skid and comes to a gradual stop, at the midpoint of the skid the car has spend 50% its kinetic energy. This is simply because the velocity of the car at the midpoint of the skid is half the velocity of the car when the car starts going into a skid, assuming constant acceleration.

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convert-73°c to kelvin scale​

Answers

Answer:

200 K

Explanation:

0 °C = 273 K

-73°C = 273 K - 73 K = 200 K

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