A wheel accelerates with a constant angular acceleration of 4.5 rad/s2. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

Answers

Answer 1

Answer:

The angle which the wheel rotates through in 2 seconds is   [tex]\theta =11 \ radians[/tex]

Explanation:

From the question we are told that

    The constant angular acceleration of the wheel is [tex]\alpha = 4.5 rad/s^2[/tex]  

     The initial angular velocity of the wheel is  [tex]w_1 = 1.0 \ rad/s[/tex]

     The time duration considered is  [tex]t = 2.0 \ s[/tex]

Generally from kinematic equation we have that

      [tex]\theta = w_1 t +\frac{1}{2} \alpha t^2[/tex]

=>   [tex]\theta = 1.0 * 2 +\frac{1}{2} * 4.5 * 2^2[/tex]

=>   [tex]\theta =11 \ radians[/tex]


Related Questions




A man driving a car at 35 mph hits his brakes suddenly to avoid hitting a dog.
Everything in the front seat of his car slides forward and into the floorboard. Which of
Newton's laws does this illustrate?

Answers

Answer:

Inertia; Newton's First Law

Explanation:

When you hit you're breaks, the force you feel that pulls you forward is due to inertia.

Newton's first law says that "every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force." The question is a perfect example of this.

It is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.

What is the name of Newton's first law of motion?

Newton's first law of motion is known as the law of inertia.

Given is a man who is driving a car at 35 mph hits his brakes suddenly in order to avoid hitting a dog. During the incident, everything in the front seat of his car slides forward and into the floorboard.

The property of body by virtue of which it resist any change in its state of rest or uniform motion is called inertia of body. When the car was moving at 35 mph, every object on front seat was also moving with the same speed. However, when the brakes were applied, they were applied on the car and not on the objects in the front seat. Hence, they keep moving forward and stop only when they strike and fall down. This is called inertia of motion. This is Newton's first law of motion.

Therefore, it is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.

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3) the maximum angular displacement of a pendulum in simple harmonie motion is theta,max then the
kinetic energy is equal to the potential energy when the angular displacement is given by

Answers

Answer:

B is correct

Explanation:

Maximum Kinetic energy= Work done.

Now, Work done=mgh=mg(L−Lcosθ)=mgL(1−cosθ)

Option B is thus correct.

What magnification would be obtained if an eyepiece with a focal length of 0.38 m was placed on telescope?

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because the telescope's focal length was not provided. The formula to be used here is

Magnification = telescope's focal length/eyepiece's focal length

The eyepiece's focal length was provided in the question as 0.38 m.

NOTE: Magnification can be described as the power of an instrument (in this case telescope) to enlarge an object. It has no unit and thus the two focal lengths mentioned in the formula above must be in the same unit (preferably meters since one of them is in meters already).

what is the state of y when y = k/x, x is halved.

Answers

Answer:

y becomes doubled.

Explanation:

If;

       y  = [tex]\frac{k}{x}[/tex]  

what is the state of y when x is halved;

  the given expression is an inverse relationship. When y increases, x is supposed to decrease and vice versa.

 

 if x is halved; x  = [tex]\frac{x}{2}[/tex]

           [tex]\frac{k}{\frac{x}{2} }[/tex]   = [tex]\frac{2k}{x}[/tex]  

Now compare :

      [tex]\frac{k}{x}[/tex]  :  [tex]\frac{2k}{x}[/tex]

we see that y becomes doubled

Three persons wants to push a wheel cart in the direction marked x in Fig. [04 Marks] The two person push with horizontal forces F1 and F2 as F1 = 45 N 70degree And F2 = 75 N , 20 Degree (a) Find the magnitude and direction of the force that third person should exert to stop this cart. You can ignore the effects of friction. (b) If the third person exerts the force found in part (a), the cart accelerates at 200 m/S2 in the (+) x-direction. What is the weight of the cart? ​

Answers

Answer:

a) F₃ = 108.71 N ,    θ = 218.68º    b)  m = 0.8487 kg

Explanation:

a) To solve this problem we will use Newton's second law, in the first part the accuracy is zero

          ∑ F = 0

X axis

          F₁ₓ + F₂ₓ + F₃ₓ = 0

          F₃ₓ = - F₁ₓ -F₂ₓ

Y axis

         [tex]F_{1y}[/tex] + F_{2y} + F_{3y} = 0

         F3y = -F_{1y} -F_{2y}

Let's use trigonometry to find the components of the applied forces

         cos 70 = F₁ₓ / F₁                 F₁ₓ = F₁ cos 70

         sin 70 = F_{1y} / F₁             F_{1y} = F₁ sin 70

         cos 20 = F₂ₓ / F2               F₂ₓ = F₂ cos 70

         sin 20 = F_{2y} / F₂           F_{2y} = F₂ sin 70

         F₁ₓ = 45 cos 70 = 15.39 N

         F_{1y} = 45 sin 70 = 42.29 N

         F₂ₓ = 75 cos 20 = 70.48 N

         F_{2y} = 75 sin 20 = 25.65 N

let's calculate

        F₃ₓ = -15.39 - 70.48

        F₃ₓ = -85.87 N

        F_{3y} = -42.29 - 25.65

        F_{3y} = -67.94 N

this is the force that must be applied to keep the system in equilibrium, we can give this value in the form of module and angle

         F₃ = √ (F₃ₓ² + F_{3y}²)

         F₃ = √ (85.87²  +67.94²)

         F₃ = 108.71 N

         tan θ = F₃ = [tex]F_{3y}[/tex] / F₃ₓ

         θ = tan⁻¹ (67.94 / 84.87)

         θ = 38.68º

Since the two values ​​are negative, this angle is in the third quadrant, therefore the measuring angle n counterclockwise from the positive side of the x-axis is

        θ = 180 + 38.68

        θ = 218.68º

b) It is not clear, but we must suppose that the person exerts this force F3 in the direction of movement, bone at an angle θ= 39.68º, in this case Newton's equation for the x axis remains

         F₁ₓ + F₂ₓ + F₃ₓ = m a

         m = (F₁ₓ + F₂ₓ + F₃ₓ) / a

let's calculate

          m = (15.39 + 7048 + 85.87) / 200

          m = 0.8487 kg

an inductive argument guarantees its conclusion

True

False

Answers

Answer:

False

Explanation:

inductive arguments have some evidence but do not have full assurance of truth of the conclusion

I think the answer is true

Doing specific exercises to improve a particular skill or type of health fitness is called training? True or false

Answers

the statement is true

describe how you would measure the diameter of a tennis ball​

Answers

You would use a vernier calliper. Take measurements at different angles and take an average.

ke...
11. Table salt, NaCl, is a classic binary ionic compound. (4 points)
a. What is the oxidation number of Na? Of Cl?
ave...

Answers

Answer:

+1

-1

Explanation:

The oxidation number of Na in NaCl is +1 and that of Cl is -1.

For simple ions, the oxidation number is the charge they carry.

When NaCl is oxidized we have;

        NaCl →  Na⁺  + Cl⁻

In this process, Na will lose an electron to become Na⁺ and thus isoelectronic with Ne, Cl will gain the electrons to become Cl⁻ and thus isoelectronic with Argon.

I NEED HELP ASAP MY LAB REPORT IS DUE TOMORROW ND MY BRAIN STOPPED WORKING HOURS AGO!!!
please explain the physics behind one of those coin wishing well funnels
like angular momentum, torque, centripetal force, gravity, and inertia
PLEasseee

Answers

Answer:

When the coin rolls down the ramp, it acquires a tangential velocity, and so travels in circles around the wishing well. As gravity pulls the coin down the curve, the circles get smaller. Since angular momentum must be conserved, the coin's speed increases as it goes further down the funnel.

A plant dying after being exposed to poison represents a physical change.

True
False

Answers

Answer:

It does not represent a physical change

Answer:

chemical change as death is irreversible

Which material is a composite? A. gold B.silicon C.polycarbonate D.aluminum

Answers

Answer:

Correct answer is polycarbonate not gold

Explanation:

A robot that is exploring the surface of a planet has a mass of 120.4 kg. If the
gravitational force acting on the robot is 655.2 N downward, what is the robot's free-
fall acceleration?

Answers

Answer:

4.65.3 heehiwijwjwwjwhh

Explanation:

behsjjejejnndjjje

Answer:

D

Explanation:

Which state of matter does this model represent?

Image of particles tightly packed

Solid
Liquid
Gas
Plasma

Answers

Answer:

gas

Explanation:

it is gas because the particles are floating up none of the above would be floating up.

Answer:

Solid

Explanation:

A: Solid- Solids have the particles tightly packed. They have a definite shape and volume

B: Liquid- Liquids have particles not to tightly packed but kind of loose. They have an indefinite shape but a definite volume

C: Gas- Gas has particles freely all around. Indefinite shape and volume

D: Plasma- Plasma is different and should be explained with an example; think of lighting....

Since the image shows tightly packed particles, it is clear the answer is a solid.

Only mirrors reflect light? True or false?

Answers

False - Every object which is not transparent and translucent reflect light. In order to see colours, the object absorb light and reflect the light we see.

whatis one use of a cathode ray tube

Answers

Answer:

is used to display images

Explanation:


5. What is necessary to move an object from one side of a room to the other side of the room?

Answers

Answer:

You have learnt how objects move. You also know that a moving object like a ball rolling on the ground slows down. Sometimes it may change its direction of motion. It is also possible that the ball may slow down and also change its direction. what makes an object to slow down or go faster, or change its direction of motion?

Let us recall some of our everyday experiences. What do you do to make a football move? What do you do to make a moving ball move faster? How does a goalkeeper stop a ball? How do fielders stop a ball hit by a batsman? A hockey player changes the direction of the moving ball with a flick of the stick. In all these situations the ball is either made to move faster or slower or its direction of motion is changed.

Explanation:

Which statement is part of Dalton's atomic theory?

Matter is composed of small particles called atoms.
Atoms can be divided into their subatomic particles.
Atoms are able to be seen with proper spectroscopy equipment.
Chemical reactions can change atoms from one type to another.

Answers

Answer:

Dalton’s atomic theory was a scientific theory on the nature of matter put forward by the English physicist and chemist John Dalton in the year 1808. It stated that all matter was made up of small, indivisible particles known as ‘atoms’.

Explanation:

Atoms can be divided into their subatomic particles.

The statement that is part of Dalton's atomic theory is as follows: Matter is composed of small particles called atoms.

What is Dalton's atomic theory?

John Dalton is a scientist that first stated the theory of chemical combination in 1803.

The components of these theory are as follows:

Elements consist of indivisible small particles called atoms.All atoms of the same element are identical i.e. different elements have different types of atom. Atoms can neither be created nor destroyed

Therefore, according to this question, the statement that is part of Dalton's atomic theory is as follows: Matter is composed of small particles called atoms.

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Please help answer 1,2,3.

Answers

Answer:

gbh

Explanation:

An archer shoots an arrow. Consider the action force to be the bowstring against the arrow. The reaction to this force is the:_____________

a. friction of the ground against the archer's feet.
b. grip of thhe archer's hand on the bow.
c. arrow's push against the bowstring.
d. combined weight of the arrow and bowstring
e. air resistance against the bow arrow.

Answers

Answer:

c. arrow's push against the bowstring.

Explanation:

Newtons third law of motion describe the relationship between action and reaction forces. Thus when the action force is applied by the bowstring against the arrow, a reaction to this force is supplied by the arrow's push against the bowstring.

If these two forces are not equal and opposite, the arrow would not move as expected. The elastic property of the bowstring propels the arrow at a rate which is due to the potential energy it has gained due to the stretching force.

If you had a string tied firmly to a post, and you created a wave that went down the string, why do you think would happen as the wave reached the post?
A.
B.
C.
D.

Answers

I think it D because I watched a video where the man did this exact same thing and the wave came back

A good alternative to sit ups is

A. Crunches

B. Leg Raises

C. Side Twists

Answers

It would probably be B

One way in which elements differ from each other is the structure of the electron cloud in each element’s atoms. In an electron cloud, an electron that is farther away from the nucleus has

a greater charge than an electron near the nucleus.
a smaller charge than an electron near the nucleus
a higher energy than an electron near the nucleus.
a lower energy than an electron near the nucleus.

Answers

a higher energy than an electron near the nucleus

In an electron cloud, an electron that is farther away from the nucleus has a higher energy than an electron near the nucleus. Thus, the correct option is C.

What is electron cloud?

An electron cloud is the region which is surrounding an atomic nucleus in which there is a very high probability of an electron being located in an atom. The probability of finding an electron is greater than the more dense regions of the electron cloud in the atom.

One way in which the elements differ from each other is the structure of the electron cloud in each of the element's atoms in an electron cloud and the electrons which is farther from the nucleus has a higher energy than an electron near the nucleus of the atom.

Therefore, the correct option is C.

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Plant cells have It is used for photosynthesis

Answers

I believe the answer is chloroplasts

Ethan drove a 1500 kg car around a circular track with a radius of 75 m. If the magnitude of the centripetal acceleration is 2 m/s2, what is the car's speed?
A)2.25 m/s
B)20 m/s
C)37.5 m/s
D)150 m/s ​

Answers

Answer:

12.25 m/s

Explanation:

The following data were obtained from the question:

Mass (m) = 1500 Kg

Radius (r) = 75 m

Centripetal acceleration (a) = 2 m/s²

Velocity (v) =?

Centripetal acceleration (a) is related to the velocity (v) and radius (r) according to the following formula:

a = v²/r

Thus, we can obtained the velocity of the car by using the above formula as illustrated below:

Radius (r) = 75 m

Centripetal acceleration (a) = 2 m/s²

Velocity (v) =?

a = v²/r

2 = v²/75

Cross multiply

v² = 2 × 75

v² = 150

Take the square root of both side.

v = √150

v = 12.25 m/s

Thus, the speed of the car is 12.25 m/s.

Suppose that the potential energy of a body at a certain height is 200 J. If the body falls, what is its kinetic energy just as it reaches the ground?

Answers

Answer:

200j

Explanation:

The kinetic energy just as it reaches the ground is 200J.

What is Potential energy?

Potential energy is defined as the energy stored within an object that exists as a result of the state, position or arrangement of the object. It is one of the two primary forms of energy while the other is kinetic energy. The stored energy is released when there is a change in the state, position or arrangement of the object.

This is the stored energy which depends upon the relative position of various parts of a system such as a spring has more potential energy when it is compressed or stretched.

Initially the potential energy of the body is 200 J but when it is released, its potential energy is converted into kinetic energy. When the body just touches the ground, the kinetic energy becomes equal to the potential energy.

Thus, the kinetic energy just as it reaches the ground is 200J.

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Electricity is produced in a hydroelectric plant when moving water turns a turbine.
Which describes this energy transformation from the turning turbine to electricity?
A
kinetic energy into electric energy
B
nuclear energy into electrical energy
С
thermal energy into electric energy
chemical energy into electric energy

Answers

Answer:

It involves both energy transformation and energy transfer.

Explanation:

In the hydroelectric power plant, the energy is transformed from kinetic energy to electricity. Therefore, option (A) is correct.

How is the energy transformed in the hydroelectric power plant?

In the hydroelectric power plant, electric energy is generated using water from a turbine. The moving water is used to propel the turbines. At first, a large amount of the flowing water is stored across the dams. The kinetic energy of moving water is stored as potential energy in the dams.

Then the stored water will fall on the turbines and rotate the turbines which causes the potential energy of water to be used to turn the turbines which is mechanical energy.

Therefore, the potential energy of water is converted into mechanical energy. Then the rotating turbines generate electricity and the mechanical energy is converted into electrical energy.

Therefore, the hydroelectric power plant converts the kinetic energy of water into electrical energy.

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from a flying aeroplane abody should be dropped in advance to hit the target why​

Answers

the body should be dropped in advance as when the body is dropped it has the velocity of the plane. So, in air the body moves forward which we have to take into consideration in order to hit the target.

From a flying plane a body should dropped in advance to hit the target,Why? ... The body should be dropped in advance as when the body is dropped it has the velocity of the plane. So, in air the body moves forward which we have to take into consideration in order to hit the target.

If you measured the final velocity of the car to be 1 m/s and the initial mass of the car remains the same, how much coal was added to the car in kg

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

  [tex]p = 14033.7 \ kg\cdot m/s[/tex]

b

  [tex]v = 1.22 \ m/s[/tex]

c

 [tex]m_2 = 9506.7 \ kg[/tex]  

Explanation:

From the question we are told that

     The mass of the coal car is  [tex]m_1 = 4527 \ kg[/tex]

     The velocity is  [tex]v_i = 3.1 \ m/s[/tex]

     The load of coal dropped is [tex]m_2 = 6952 \ kg[/tex]

Generally the momentum of the system before the coal is added is mathematically represented as

            [tex]p = m_j * v_i[/tex]

=>         [tex]p = 4527 * 3.1[/tex]

=>         [tex]p = 14033.7 \ kg\cdot m/s[/tex]

Generally from the law of momentum conservation is mathematically represented as

          [tex]m_1 * v_i + m_2 * v_2 = (m_1 + m_2 )v[/tex]

Here [tex]v_2[/tex] is the velocity of the load before it is dropped and the value is 0 m/s

So

 =>    [tex]v =\frac{m_1 * v_i }{m_1 + m_2}[/tex]

      [tex]v = \frac{4527 * 3.1 }{( 4527 + 6952 )}[/tex]

=>    [tex]v = 1.22 \ m/s[/tex]

When v =  1m/s  and  [tex]m_1[/tex] remain the same

Then

=>    [tex]1 =\frac{4527 * 3.1 }{4527 + m_2}[/tex]

=>    [tex]4527 + m_2 = 14033.7[/tex]

=>    [tex]m_2 = 9506.7 \ kg[/tex]  

A 50 N girl climbs the flight of stairs in 3 seconds. How much work does she
perform? How much power does she use? *

Answers

She uses 0 power because she simply has no gas left. She used all of it getting a 50 pc McDonald’s nugget with a side of ranch and a medium fry and a large water.
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