during a very quick stop, a car decelerates at 6.6 m/s2. assume the forward motion of the car corresponds to a positive direction for the rotation of the tires (and that they do not slip on the pavement). what is the angular acceleration of its tires in rad/s2, assuming they have a radius of 0.275 m and do not slip on the pavement?

Answers

Answer 1

The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.

Calculation:a) A constant deceleration means a constant linear deceleration. The angular acceleration experimented by the tires is:

α = -6.6 rad/s²/0.275

α = -20.74rad/s²/0.275

b) The period of time required to decelerate the car is derive from the following expression:

t = ω - ω°/α

t = 0rad/s - 93rad/s/ -20.74rad/s

t = 4.48s

The angular position at given time is:

θ = (93rad/s).(4.48s) + 1/2× -(20.74rad/s) × (4.48s)

θ = 416.64 - 45.46

θ = 371.18 rad

The number of revolutions are:

n = θ/2π

n = 371.18 × 7 /22

n = 118.09

c) The time needed to decelerate the car is:

t = 4.48s

d) The initial speed experimented by the car is:

v° = 93rad/s × 0.275 m

v° = 25.575 m/s

The distance done by the car during its deceleration is:

s = (25.575m/s) × (4.48s) +1/2 × (-6.67m/s) × (4.48s)

s = 114.57 + 14.94

s = 129.51m

e) The initial speed of the car is:

v° = 25.575 m/s

To know more about angular acceleration visit:-

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Related Questions

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With time, momentum increases as it builds speed assuming their is nothing in the way to stop it. Based on the graph, you can see that example being displayed as the line on the graph gets higher

What is the amplitude of the resulting wave when the two waves meet at point X?

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A = 0 cm .............

Can someone list me 6 disadvantages of renewable energy?

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1. Can be very expensive
2. It can still generate pollution
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4. Can be hard to generate the quantities of electricity
5. Takes a lot of space to install
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why does liquid have to cofficients of expansion​

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Answer:

The ratio of apparent increase in volume of the liquid per unit rise of temperature to the original volume is called its coefficient of apparent expansion. ... Thus a liquid has two coefficients of expansion. Measurement of the expansion of a liquid must account for the expansion of the container as well.

*coefficients
The ratio of apparent increase in volume of the liquid per unit rise of temperature to the original volume is called its coefficient of apparent expansion.So a liquid has two coefficients of expansion.Measurement of the expansion of a liquid must account for the expansion of the surface as well

What must happen to light in order for an image to form

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Small opening if you were directions from the light to come from

Please help answer both of these !! I’m in a rush :(((

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Answer: search it on browser

A baseball sits motionless near first base on a baseball diamond. What statement best explains why the baseball remains motionless?

A. The forces acting on the baseball are all balanced.
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C. The dirt is placing an unbalanced force on the baseball.
D. The force on the baseball is unbalanced due to gravity.

Answers

Answer:

B

Explanation:

There are no forces acting in the baseball

Which equation could not be used to determine straight line acceration?

Answers

Answer:

the answer for the question is the last option

What is a group on the periodic table?

Answers

Answer:

A group is a column (vertical, up and down)

Explanation:

A group is vertical and a period is horizontal!

Hope i helped you

Have a great day!

Answer:

A group is a row that goes up and down. (Its vertical)

Explanation:

I do A P E X.

In a series circuit, all ____
travels through each device.

A. voltage
B. current
C. energy
D. power​

Answers

the answer is C as in cat

which two options are examples of waves refracting?

Answers

a and b!
hope this helps!

Answer: A & B

Explanation:

Took The test

Two cars have the same weight, but one of the cars has an engine that provides twice the power of the other. Which car can make it to the top of the mountain pass first? Which car does more work to reach the pass?

Answers

Answer:

The car with the better engine will make it to the mountain pass first but the car that works harder will be the car with the worse engine

Explanation:

Just like if a average kid were to pick up a 25 pound weight it would be harder compared to a body builder.

Answer:

twice the power reach the top!!1

Explanation:

twice

not

once

twoce

always

nice

basic component of matter, it is composed of a nucleus which is the central part, the protons and electorns

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Atoms are the basic components of matter


What net force would be required for a 50.5 kg wolf to accelerate at 5.0 m/s^2

Answers

Answer:

[tex]\boxed {\boxed {\sf 252.5 \ Newtons }}[/tex]

Explanation:

Force is the push or pull on object that can cause different things, like acceleration. According to Newton's 2nd Law of Motion, it is the product of mass and acceleration.

[tex]F=m*a[/tex]

The mass of the wolf is 50.5 kilograms and the acceleration is 5.0 meters per square second. Therefore:

[tex]m= 50.5 \ kg[/tex][tex]a= 5.0 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 50.5 \ kg * 5.0 \ m/s^2[/tex]

Multiply.

[tex]F=252.5 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 Newton. Our answer of 252.5 kg*m/s² is equal to 252.5 Newtons.

[tex]F= 252.5 \ N[/tex]

The force required is 252.5 Newtons.

PLZZZ HELP ME ASAP!!!

Answers

Answer:

the correct answer would be D

Explanation:

D is the correctly balanced


3. A ray of monochromatic light (1 = 5.9 x 10-7 meters) traveling in air is
incident on an interface with a liquid at an angle of 45° as shown in
the diagram to the right. If the absolute index of refraction of the
liquid is 1.4, calculate the angle of refraction.

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Answer:

45 degrees༼ つ ◕_◕ ༽つ

Explanation:

A 20-gram bullet traveling at 250 m/s strikes a block of wood that weighs 2 kg. With what velocity will the block and bullet move after the collision? [convert g to kg]

Answers

Answer:

the velocity of the bullet-wood system after the collision is 2.48 m/s

Explanation:

Given;

mass of the bullet, m₀ = 20 g = 0.02 kg

velocity of the bullet, v₀ = 250 m/s

mass of the wood, m₁ = 2 kg

velocity of the wood, v₁ = 0

Let the velocity of the bullet-wood system after collision = v

Apply the principle of conservation of linear momentum to calculate the final velocity of the system;

Initial momentum = final momentum

m₀v₀ + m₁v₁ = v(m₀ + m₁)

0.02 x 250  + 2 x 0    =    v(2  + 0.02)

5 + 0 = v(2.02)

5 = 2.02v

v = 5/2.02

v = 2.48 m/s

Therefore, the velocity of the bullet-wood system after the collision is 2.48 m/s

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I also need help on this question

4 Suggest four ways in which participating in physical activities can build healthy relationship? 5.Show in two ways the influebces of values on the choices of goals you set as your life goal❤

Answers

Answer:

Increases levels of well-being neurotransmittersImproves fitnessImproves mental healthReduces the risk of developing diseases

Explanation:

Performing physical activities helps to build a healthy relationship with yourself, in the sense that physical activity promotes health at all levels. Health is a set of physical, mental and social well-being, so physical activity reaches all these levels and increases the quality of life for a person as a whole.

There are several types of physical activities that can be performed and you can choose the one that best fits your preferences and routine. A walk for example can be done in any safe place and at any time and it already helps in improving physical conditioning, in receiving serotonin and endorphins, in reducing blood pressure and protecting the heart and in improving mental health.

So the ideal is for each person to set their own goals in relation to their health and seek to achieve them, either to have a better quality of life, to socialize more with people, to prevent diseases, etc.

Physical exercise helps build relationship by:

Reducing one's  stress and good level of mental health. One can be able handle anxiety and less mental health problem.

What are Exercise?

This is known to be any physical activities such as walking, running, etc., that is often done so as to keep the body fit.

It is very important when as it helps one to maintain a good balance of mental health. As a person moves their body, there is the release of endorphins that functions to make us feel good and helps handle the effects of stress and anxiety. The more a person exercise, the less mental health cases and more happier relationships.

Note that Values are the drive force of  your actions and they push or motivate as you set your life goals. They help to eliminate any obstacle in term of foreign ideas that are against one's value and it keeps one's focus on the goal.

Learn more about Exercise from

https://brainly.com/question/1365564

John, a fireman, slides down a pole when the fire alarm sounds. He reaches the ground at 5m^-1. Give that his mass is 60kg. Find the friction that acts against his motion as he slides down the pole.

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factors that affect pressure in liquids

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Two factors influence the pressure of fluids. They are the depth of the fluid and its density.

Answer:

Depth and density of the liquid determine the amount of pressure in a liquid.

Explanation:

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

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Explanation:

speed : • how fast an object changes position

• miles per hour.

• distance/time.

velocity: • speed in a direction

• miles per hour North

• distance/ time in a direction

A team of scientists wants to conduct a study on an endangered animal inthe wild. Which rule should the study follow in order to be considered ethical?
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C. The study will gather data over a long period of time.
D. The study will answer a question that has never been investigated.

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Answer:

imma have to say C I'm not sure tho

Which of the following statements is true about absolute zero?

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It is the point at which electrons separate from the nucleus of atoms.

It is theoretically the point at which all particle motion stops.
It is theoretically the point at which all particle motion stops.

It occurs at 273 degrees Kelvin.
It occurs at 273 degrees Kelvin.

It is the point at which protons separate from neutrons in the nucleus

Answers

Answer:

It is the point at which electrons separate from the nucleus of atoms. It is the point at which electrons separate from the nucleus of atoms. It is theoretically the point at which all particle motion stops. ... It occurs at 273 degrees Kelvin. ... It is the point at which protons separate from neutrons in the nucleus.

Explanation:

A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?​

Answers

Explanation:

mass=5 kg

potential energy=6000j

height=?

Now

potential energy =m.g.h

or 6000=5*9.8*h

or 6000=49h

or 6000÷49=h

or h= 122.45m

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

Sam's average velocity for the entire walk is approximately;

0.075 km/min

Explanation:

The given parameters of the Lake Loop Trail are;

The distance of the trail Sam takes his dog to walk around = 5-km

From the table for the position and time, we have;

[tex]\begin{array}{ccc}Position \ (km) &&Time \ (min)\\0&&0\\1&&12\\2&&22\\3&&33\\4&&54\\5&&67\end{array}[/tex]

Plotting the given points gives the attached chart created with Microsoft Excel

The coordinates of the points are A(0,0), B(67, 5), C(67, 0)

By the definition of average velocity, we have;

[tex]Average \ velocity = \dfrac{Total \ distance}{Total \ time \ taken}[/tex]

From the plot of the points therefore, we have;

[tex]Average \ velocity= \dfrac{Length \ of BC}{The \ time \ elapsed \ between \ AC} = \dfrac{5 \ km - 0 \ km}{67 \ min - 0 \ min} = \dfrac{5 \ km}{67 \ min} \approx 0.075 \ km/min[/tex]Therefore;

Sam walked at an average velocity of approximately 0.075 km/min.

You are sharing a house with a few roommates. One of them plays on the basketball team, and is exactly 200 cm tall. The heights of you and the other roommates are 188 cm, 175 cm, and 160 cm. You want to buy the minimum height mirror that will allow all of you to see your entire selves, when the mirror is mounted in a fixed position on the wall. Assume each person's eyes are at a level 95% of their height. How tall a mirror should you buy

Answers

Answer:

119 cm

Explanation:

Given heights :  200cm , 188 cm , 175 cm, 160 cm

since the eyes are at 95% level

95% of 200 cm = 190 cm

95% of 160 cm = 152 cm

hence the allowable height of mirror = 200 - ( 5 + 76 ) = 119 cm

and The mirror should be hung 75cm from the floor

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an eclipse


a new moon


an equinox


a solstice

Answers

Answer:

The answer is 'an equinox'.

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2M/4R2=.5M/R2= .0.5 g

Placing resistors in parallel ____the equivalent resistance of a circuit.

A. decreases
B. cancels
C. increases
D. localizes​

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The answer to that question is A
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