A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -4.20 rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -26.0 rad/s. While this change occurs, the angular displacement of the wheel is zero. (Note the similarity to that of a ball being thrown vertically upward, coming to a momentary halt, and then falling downward to its initial position.) Find the time required for the change in the angular velocity to occur.

Answers

Answer 1

Answer:

The time it takes for the change in the angular velocity to occur is 6.5 seconds

Explanation:

From the question, we have;

The angular acceleration of the wheel, α = -4.20 rad/s²

The final angular velocity of the wheel, ω = -26.0 rad/s

From the information, we have the initial direction of rotation of the wheel = Counterclockwise

The angular displacement while the change occurs = 0 rad/s

Therefore, the initial angular velocity of the wheel, ω₀ = 0 rad/s

We have;

[tex]\alpha = \dfrac{\omega -\omega _0 }{t - t_0}[/tex]

Where;

t - t₀ = The time it takes for the change to occur

[tex]\alpha = \dfrac{\omega -0 }{t - 0}[/tex]

When t₀ = 0, we have;

t - t₀ = t

[tex]\alpha = \dfrac{\omega }{t}[/tex]

[tex]\therefore t = \dfrac{\omega}{\alpha }[/tex]

[tex]\therefore t = \dfrac{-26 \, rad/s}{-4 \, rad/s^2 } \approx 6.5 \, seconds[/tex]

The time it takes for the change in the angular velocity to occur is t - t₀ = 6.5 seconds


Related Questions

HELP ASAP THANKS

What happens to the mass of an object when the parts are rearranged?

Answers

Answer:

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

Hope it helps!!!

Answer:

their will be no change in this..

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

The speed of light in air is 3 x 108 m/s. The speed of light in ice is 2.29 x 108 m/s. What is the refractive index from air to ice?

Answers

Answer:

η = 1.31

Explanation:

The formula for the refractive index of from air to some other medium is given by the following formula:

[tex]\eta = \frac{c}{v}\\[/tex]

where,

η = refractive index = ?

c = speed of light in air = 3 x 10⁸ m/s

v = speed of light in ice = 2.29 x 10⁸ m/s

Therefore, using these values in the equation we get:

[tex]\eta = \frac{3\ x\ 10^8\ m/s}{2.29\ x\ 10^8\ m/s} \\[/tex]

η = 1.31

A construction worker transfers 6000000 J in a n 8 hour day of work. What is their average power output? just need a quick answer with the working, thanks

Answers

Answer:

208.33 W

Explanation:

Using,

P = W/t.......................... Equation 1

P = Average power output, W = total work, t = total time.

From the question,

Given: W = 6000000 J, t = 8 hours = (8×60×60) = 28800 s

Substitute these values into equation 1

P = 6000000/28800

P = 208.33 W.

Hence the average power output is 208.33 W

work and power!

______is the amount of work done over time a. Efficiency C. Power b. Newton d. Horsepower​

Answers

Answer:

The work done in a unit of time is C. Power.

Explanation:

Hope this helps

In a ride in an amusement park, a carriage of mass 450 kg is travelling horizontally at a speed of 18 m/s. It passes through a shallow tank containing stationary water. The tank is of length 9.3 m. The carriage leaves the tank at a speed of 13 m/s. PT 3 a.) Calculate the change in kinetic energy of the cart while it passes through the water tank J (Hint: Change

Answers

Answer:

98.

Explanation:

divide

The change in the kinetic energy of the cart is equal to 34875 J.

What is kinetic energy?

The energy which is possessed by a moving body because of its motion is known as kinetic energy. Work should be done in order to bring the change in the kinetic energy of a moving object.

The kinetic energy of a moving object can be determined from the formula mentioned below:

K.E. = ½mv²     where ‘m’ and 'v' is the mass and velocity of the object.

Given, the mass of the carriage, m = 450 Kg

The speed of the carriage, u = 18 m/s

The initial kinetic energy of the cart = (1/2) × 450 × (18)²

(K.E.)₁ = 72900 J

The final speed of the cart, v = 13 m/s

The final kinetic energy of of the cart = (1/2) × 450 × (13)²

(K.E.)₂ = 38025 J

The change in the kinetic energy of the cart = (K.E.)₂ - (K.E.)₁

Change in the kinetic energy = 72900 - 38025 = 34875 J

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Use appropriate units and signficant figures.

You drive 67.0 mi 35.0º south of east and then drive 40.0 mi 20.0º west of south. What is your displacement?​

Answers

Answer:

D = 54.9 mi, 71.6 South of the East

Explanation:

In this exercise it is asked to find the displacement of the body, one of the easiest tasks is to dispose each displacement in a Cartesian coordinate system, let's use trigonometry

* first displacement d₁ = 67.0 mi

the angle is 35 south of east, measured from the axis x θ = -35

             cos -35 = x₁ / d₁

             sin -35 = y₁ / d₁

            x₁ = d₁ cos (-35)

            y₁ = d₁ sin (-35)

            x₁ = 67 cos 35 = 54.88 mi

            y₁ = -67 sin 35 = -38.43 mi

* second displacement d₂ = 40, mi

the angle is 20 to the west of the south, so mean from the axis x is

           θ = 180+ 20 = 200º

           cos 200 = x₂ / d₂

           sin 200 = y₂ / d₂

           x₂ = d₂ cos 200

           y₂ = d₂ sin 200

           x₂ = 40.0 cos 200 = -37.59 mi

           y₂ = 40.0 sin 200 = -13.68 mi

now we can find the displacement in each exercise

            X_total = x₁ + x₂

            X_total = 54.88 -37.59

            X_total = 17.29 mi

            Y_total = y₁ + y₂

            Y_total = -38.43 -13.68

             Y_total = - 52.11 mi

Let's use the Pythagorean theorem to find the displacement

             D = [tex]\sqrt{x_{total}^2 + y_{total}^2}[/tex]

             D = [tex]\sqrt { 17.29^2 + 52.11^2}[/tex]

             D = 54.9 mi

to find the angle let's use trigonometry

             tan θ = [tex]\frac{y_{total} }{x_{total} }[/tex]

             θ = tan⁺¹ \frac{y_{total} }{x_{total} }

             θ = tan⁻¹ (-52.11 / 17.29)

             θ = -71.6º

the negative sign indicates that it is measured clockwise from the x-axis.

In cardinal coordinates it is 71.6 South of the East

I walked my dog 100 meters North to the end of the block, and 50 meters East to the park. After the park, I walked 60 meters South to my friend's house. What is the total distance traveled? Is the displacement of my journey scalar or vector?

Answers

Answer:

The answer is below

Explanation:

Distance is a measurement of how far apart two points are. Distance is a scalar quantity, i.e. it has magnitude and no direction.

Total distance traveled = distance traveled north + distance traveled east + distance traveled south

Total distance traveled = 100 + 50 + 60 = 210 meters

Displacement is the shortest distance between the starting and end points.

displacement² = 50² + (100 - 60)²

displacement² = 2500 + 1600

displacement = 64 meters

The displacement of the journey is vector, because displacement is a vector quantity.

hiii pls help i’ll give brainliest thank you

Answers

Answer:

friction force

Explanation:

friction forces a force that opposed the relative motion of two bodies in contact or when sliding

Newton's first law states that objects do not change their velocity unless acted upon
by an outside force. When throwing a ball the ball initially accelerates from the force
provided by your arm and then begins to slow down.
What force(s) are responsible for the deceleration of the ball?

Answers

Answer:

Air resistance/Drag (this is the proper term for air resistance) or gravity or friction

It depends on the direction and if you throw it across a surface or if you throw it straight upwards.

I hope this helps!!

Answer:

Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.

Explanation:

What could you have done to reduce those errors?

Answers

Wheres the picture, and this doesn’t make sense.

At which point on this graph do reactants begin to produce products as they collide?

Answers

Answer:b

Explanation:

i just did the quiz i was look for it too then got it

The point on this graph do reactants begin to produce products as they collide is B.

What is chemical reaction?

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

This graph shows how the reactants are reacted and products are formed in a chemical reaction.

As the reaction proceeds, the potential energy is higher when reactants begin to produce products.

Thus, the point on this graph do reactants begin to produce products as they collide is B.

Learn more about chemical reaction.

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Which describes the innermost layer of Earth?​

Answers

Answer and Explanation:Option A->The innermost layer of the earth is known as the core. It is divided into inner core and outer core. It comprises of a high concentration of nickel and iron.

Brainliest for correct answer :)

Answers

All 3 objects have the same mass
Is the first . All 3 objects have the same mass

The Doppler Effect for sound occurs when:
a) the speed of the wave changes
b) the height of the wave changes
c) the distance between the waves change
d)the moving object decreases in speed

Answers

The answer should be A because it’s frequency of a sound per second

The gravitational force between two bodies is 250N . What will the new force be if one of the masses is tripled?

Answers

If one of the masses is tripled, then their product is tripled, and the force between them is tripled.  The new force is 750N .

You plan to visit a friend who lives 30 miles away. You predict that your average speed for this trip will be 50 miles per hour. How long will your trip take?

0.4 hours (24 centimeters)
0.8 hours (48 centimeters)
0.6 hours (36 minutes)
1.66 hours (~100 minutes)

Answers

Answer:

.6 hours

Explanation:

to find time you divide distance by speed

How can we use thermal energy to our advantage?

Answers

Answer:

One of the primary advantages of thermal power is that the generation costs are extremely low. No fuel is needed to generate the power, and the minimal energy needed to pump water to the Earth's surface can be taken from the total energy yield.

Explanation:

Explanation:

heating system warming homes and other buildings is an abvous way that thermal energy can be used two common types of home heating system are hot water and warm air

An isloated point charge produce an electric field with magnitude E at a point 2 m away. At a point 1 m from the charge magnitude of the charge is .. A. E B. 2E C. 4E D. E/2

Answers

Answer:

the correct answer is C,      E’= 4E

Explanation:

In this exercise you are asked to calculate the electric field at a given point

         E = [tex]k \frac{q}{r^2}[/tex]

indicates that the field is E for r = 2m

         E = [tex]\frac{ k q}{4}[/tex]                  (1)

the field is requested for a distance r = 1 m

         E ’= k \frac{q}{r'^2}

         E ’= k q / 1

 

from equation 1

         4E = k q

       

we substitute

        E’= 4E

so the correct answer is C

PLZZZ HELP ME ASAP FOR BRAINLIEST AND 20 POINTS
I am desperate and these are my last points.
:'(

Answers

Answer:

gamma rays

Explanation:

A 0.22kg mousetrap car has 3.1 J of potential energy due to the spring in the mouse
trap. What is the maximum speed the car will reach? Show your work and include units.

Answers

Answer:

r56

Explanation:

Why does it take a long time to start Penicillin production?​

Answers

Answer:

the growth of mycelial, by which reduction in carbohydrate level occurs in the medium. Because of this reduction in carbohydrate level

Explanation:

Which of the following is considered to be a fine motor skill?
Jumping rope

Drawing

Running

Riding bicycle

Answers

Drawing Because the others are gross Moyer skills

The four balls in the diagram below are made of the same material are sold

Why is the force of gravity between the balls in pair 2 greater than the force of gravity between the balls in pair 1

The balls in pair 2 are closer together than the balls in part 1

The balls in pair 2 have a grater mass than the balls in pair 1

The balls in pair 1 have more rolling friction than the balls in pair 2

The balls in pair 2 have more magnetic force than the balls in pair 2

Answers

Answer:

The balls in Pair 2 have a greater mass than the balls in pair 1.

Explanation:

I took the test.

100 POINTS!!!
Which condition is NOT necessary for a hurricane to form?
warm ocean waters
very low air pressure
high air pressure
warm, moist air rising

Answers

Answer:

very low air pressure and that's not 100 points

Use the information and picture to answer the following question.

A student creates a poster with two models that show magnified views of the molecular motion in a solid and a liquid.

image

The student forgets to label the models with phases.

Answering which question would BEST help identify which model is in the solid phase?

A.
Which model shows the molecules vibrating in a fixed arrangement?

B.
Which model shows the molecules bouncing around each other?

C.
Which model shows the molecules sliding past each other?

D.
Which model shows the molecules spreading out at different angles?

Answers

Answer:

The answer is A

Explanation:

Solids vibrate in a fixed arrangiment, so to find which is a solid look for the one that vibrates in a fixed arrangiment.

According to the forces of attraction, the question which would best identify model is in solid phase is which model shows the molecules vibrating in a fixed arrangement?

What are forces of attraction?

Forces of attraction  is a force by which atoms in a molecule  combine. it is basically an attractive force in nature.  It can act between an ion  and an atom as well.It varies for different  states  of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as  the molecules present in solid are tightly held while it is minimum in gases  as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density  are all dependent on forces of attraction which exists in the substances.

Learn more about forces of attraction,here:

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When heat is added to ice, the first change it goes through will be which of the following?

It will begin to boil.

It will melt into a liquid.

It will turn into steam.

It will become a vapor.

Answers

Answer:

it will begin to melt into a liquid

Explanation:the ice will melt first before turning into a liquid.

What is the speed of a 1600kg car if its momentum is 120,000kgms?

Answers

Answer:

Velocity of car = 75 m/s

Explanation:

Given:

Mass = 1,600 kg

Momentum = 120,000kgm/s

Find:

Velocity of car

Computation:

Velocity = Momentum / mass

Velocity of car = 120,000 / 1,600

Velocity of car = 75 m/s

An object carries a +15.5 µC charge. It is 0.525 m from a -7.25 µC charge. What is the magnitude of the electric force on the object?

Answers

Answer:

the force of attraction between the two charges is 3.55 N.

Explanation:

Given;

first charge carried by the object, q₁ = 15.5 µC

second charge carried by the q₂ = -7.25 µC

distance between the two charges, r = 0.525 m

The force of attraction between the two charges is calculated as;

[tex]F = \frac{kq_1q_2}{r^2} \\\\F = \frac{(9\times 10^9)(15\times 10^{-6})(7.25\times 10^{-6})}{(0.525)^2} \\\\F = 3.55 \ N[/tex]

Therefore, the force of attraction between the two charges is 3.55 N.

the energy produced by the internal motion of atoms? electrical , thermal, chemical, nuclear

Answers

Answer:

Thermal energy, or heat, is the energy that comes from the movement of atoms and molecules in a substance. Heat increases when these particles move faster. Geothermal energy is the thermal energy in the earth. Motion energy is energy stored in the movement of objects. so the answer is thermal energy

Why is physics used to study stars?
A. Stars are interesting.
O B. Stars are circular.
O C. Stars are useful.
O D. Stars are made of matter.

Answers

Answer:

stars are made of matter

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