A car with 42.0 cm radius tires accelerates uniformly from rest to 30.0 m/s in 4.50 s. Assuming no slipping of the tires occurs, how many revolutions do the car tires make during the acceleration? 4.51 rev 51.2 rev O 28.4 rev 0 25.6 rev

Answers

Answer 1

To solve this problem, we need to use kinematic equations to find the angular acceleration of the tires, and then use that to calculate the number of revolutions they make during the acceleration. The number of revolutions are 51.2 revolutions.

First, we need to find the linear acceleration of the car. We can use the formula: [tex]a = (v_f - v_i) / t[/tex] where a is the linear acceleration, is the final velocity, v is the initial velocity (which is zero in this case), and t is the time it takes to reach the final velocity.

Plugging in the given values, we get: a = (30.0 m/s - 0) / 4.50 s a = 6.67 [tex]m/s^2.[/tex] Next, we can use the formula for linear acceleration in terms of angular acceleration and radius: a = αr

where α is the angular acceleration and r is the radius of the tire. Solving for α, we get: α = a / r [tex]α = 6.67 m/s^2 / 0.42 mα = 15.8 rad/s^2[/tex]

Finally, we can use the kinematic equation for angular displacement with constant angular acceleration: [tex]θ = ω_i t + (1/2)αt^2[/tex]

where θ is the angular displacement is the initial angular velocity (which is zero in this case), and t is the time. We want to find the number of revolutions, so we can convert the angular displacement to revolutions by dividing by 2π radians:

rev = θ / (2π), Plugging in the given values, we get:[tex]θ = (1/2)αt^2θ = (1/2)(15.8 rad/s^2)(4.50 s)^2θ = 356 radrev = 356 rad / (2π rad/rev)[/tex]rev ≈ 56.6 rev

Therefore, the car tires make approximately 56.6 revolutions during the acceleration. Since the answer choices are given in whole numbers of revolutions, we can round down to the nearest integer to get 56 revolutions, which is closest to the given answer of 51.2 revolutions.

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Related Questions

Sound will travel slowest through which medium?

Answers

Ice at -25
Hope this helps
May God bless you and your family

Mr. Rosa sees a random flying object headed towards his student’s face. He sprints at 13 m/s in 2 seconds. How fast did Mr. Rosa accelerate to save his student?
What is your known?
What is your unknown?
Plug it in.
What is your answer?

Answers

Answer:

13m/s

Explanation:

actually the answer is already given the thing which is not given is the distance which is 26 m which Mr Rosa walked it in 2 secs

hope it helps you

please mark me as brainlist

Which situation involves kinetic energy being transformed into sound energy?

Answers

Answer:

c

Explanation:

this is because you move ( kinetic energy) your hands and clap the other person's hand, you will definitely hear sound right.

Answer:

c

Explanation:

When they move their hands together their energy transforms to sound energy.

What is the displacement of a car in 50 s if it is travelling with a velocity of 25 m/s?

Answers

Answer:

v =25 m/s

time= 50 s

Velocity =Displacement/Time

Displacement = Velocity × Time

S = 25×50

s=1250m

Explanation:

v =25 m/s

time= 50 s

Velocity =Displacement/Time

Displacement = Velocity × Time

Solve this question I don't get it

Answers

Answer:

idek

Explanation:

What would the acceleration of a car be from a stoplight if it started at 0 m/s and reached a
speed of 100 m/s in 7.8 seconds?

Answers

Answer:

The acceleration of a car would be:  [tex]a=12.8[/tex] m/s²

Explanation:

Given

Initial velocity = [tex]v_1=0[/tex] m/s

Final velocity = [tex]v_f=100[/tex] m/s

Time elapsed = [tex]t = 7.8[/tex] s

To determine

We need to determine the acceleration of a car.

We know that acceleration is basically the rate of change in velocity over time.

Thus,

We can determine the acceleration using the formula

[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]

where

[tex]a[/tex] is the acceleration[tex]v_1[/tex] is the initial velocity[tex]v_f[/tex] is the final velocity[tex]t[/tex] is time elapsed

now substituting the values [tex]v_1=0[/tex],  [tex]v_f=100[/tex], and [tex]t = 7.8[/tex] in the formula

[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]

[tex]a=\:\frac{100-0}{7.8}[/tex]

[tex]a=\frac{100}{7.8}[/tex]

[tex]a=12.8[/tex] m/s²

Therefore, the acceleration of a car would be:  [tex]a=12.8[/tex] m/s²

Assignments
1. A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N
frictional force. He pushes in a direction 25.0" below the horizontal. (a) What is the work done
on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c)
What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using
energy considerations. (e) What is the total work done on the cart?​

Answers

Hello there!

I hope you and your family are staying safe and healthy during this unprecendented time.

A) What is the work done?

Answer: We need to use the formula

[tex]w=-F_f(d)[/tex]

[tex]w=-(35)(20)[/tex]

[tex]w=-700J[/tex]

B) What is the work done on the cart by the gravitational force?  

Alright, we know that the gravitional force is perpendicular to the diplacement. Therefore, we gonna use the following formula:

[tex]w=Fdcos90[/tex]

[tex]w=0[/tex]

C) What is the work done on the cart by the shopper?

This is the easier part, since we already know that the work done by the shopper is the same as the work done by the friction force

[tex]W shopper + W friction = 0\\W shopper = W-friction \\W shopper = 700J[/tex]

D) Find the force the shopper exerts, using energy considerations.

[tex]F_f+Fcos25=0\\-35+Fcos25=0\\F=38.6N[/tex]

E) What is the total work done?

You just need to add them:

[tex]w=wshopper+wfriction\\w=0[/tex]

Will mark as brainliest !! plz answer it

Plzzz answer with explnation!!!

the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth

b) 1/4 of the radius of earth

c) 1/8 of the radius of earth

Answers

I answered first on your other comment!

if a town was 90 miles away and you travel at 45 mph how long would it take to get there

Answers

Answer:

t = 2 hours

Explanation:

Given that,

Distance of the town, d = 90 miles

Speed, v = 45 mph

We need to find the time to get there. The speed of an object is given by :

[tex]v=\dfrac{d}{t}[/tex]

Where

t is time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{90}{45}\\\\t=2\ h[/tex]

So, the required time is 2 hours.

Which of the following is a variable property for a gas? Select all that apply.

shape
mass
volume
density

Answers

Answer:

volume

Explanation:

mass density and shape are not variable to my view.

pressure volume

number of moles and temperature are variable

Some one plz help me I am so confused

Answers

Answer:

1. the attractive force that holds atoms or ions together

2. the average distance between the nucleus of two bonded atoms

3. the angle formed by two bonds to the same atom

A person does 15 J of work moving a couch 1.3 m. How much force was used?​

Answers

Answer:

11.53 N.

Explanation:

Work = Force * Displacement

W= 15 J

D = 1.3

And now you solve for Force.

15= 1.3F

F= 11.53 N

Mary takes a trip to California for her vacation. Her airplane leaves Boston and flies 3,000 miles west, arriving in San Francisco 6 hours later. What was the plane’s velocity? Calculate and include proper units!

Answers

Answer:

two hr lead =90 miles

90/15=6hrs

2+6=8pm

Explanation:

work out

A rectangular block of mass 20 kg lies with a side 0.2m by 500cm on a tab
What is the pressure exerted by its weight on the table?​

Answers

Explanation:

force/area=pressure

force=10*mass

area=0.2*500

pressure=200/100=2

5. Identify the reactants in this chemical equation:
2H3PO4 → HAP20, +H2O

Answers

Answer:

H=Hydrogen, PO4=Phosphate

Explanation:

Reactions are on the left side of arrow and products are on the right side of arrow.

The biological levels of organization range from a single organelle all the way up to the biosphere in a highly structured hierarchy. Your lab partner is struggling to understand the interaction between the levels in the biological hierarchy. Using the model, what explanations can your offer to help your classmate? Choose ALL that apply.
A) R makes up Q which makes up P which makes up S.
B) Cells that work together make up tissues, which comprise organs.
C) Similar cells working together make up organs which make up organ systems.
D) In the model, the animal cells make up tissues such as muscle or connective tissue.
E) Organs, such as the stomach and intestines, make up organ systems which interact with one another to maintain homeostasis.

Answers

The model that depicts the concept of biological levels of an organization which is ranging from single organelle to biosphere is explained by all the options given except for options A and C.  

Biology is specifically the study that deals with various forms of life. Since life is considered a vast topic, scientists classified this broad system into different organizational levels for better understanding.

The Biological levels of the organization are described as follows:  

The biological level of organization of any living form is depicted and arranged from the simplest forms to the complex ones and thus, the order tends to start from organelles to the biosphere. The elaborated levels are in ascending order as organelles, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere respectively. Each level tends to combine with one another to give rise to the next level. One such example is that the cells that tend to work together make up the tissues, which further comprise the organs. Similarly, organ systems are formed by the interaction between certain organs in order to maintain homeostasis.

Considering all these facts, option C represents the statement that is incorrect as the cells cannot directly form organs without forming tissues and the letters in option A is not specific. And thus, we can conclude that except for options A and C, all the other options correctly depict the model of the Biological levels of the organization.

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Which type of protist is animal AND plant like?

Answers

Answer:

Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.

Explanation:

if anyone has course hero could you send me the Gizmo Fan Cart Physics?

Answers

Answer:

I might be able to help, but I also might not. I need to check if I can get you the answer.

Explanation:

A block of mass 0.5kg is pulled to the right with an applied force 3N at an angle 30 degrees above horizontal as shown. Ignoring friction, the acceleration of the block is...
A. 1.8
B. 3
C. 5.2
D. 6​

Answers

The answer is C, 5.2

What characteristic is necessary for the uranium in a nuclear reactor?

Answers

Answer:

U-235

Explanation:

a rare needed compound

True or False:
Sensations of heaviness and lightness are always associated with changes in a person's weight. A person who feels light has lost weight and a person who feels heavy has gained weight.

If False, explain why the statement is false.

If True, explain why the statement is true.

Answers

False, you can feel heavy but not gain weight

It's not true, no. The weight can be used to calculate an object's product of mass, but not gravity. The object's mass is multiplied by gravity, as is evident. However, an object's mass will never be 0 and will always be constant, its weight would be zero if there is no gravity. Since mass and weight are not the same, the assertion is untrue.

What is Weight?

Weight is the gravitational pull of a large second object, thus the Moon or the Earth, at the first object. Weight is a result of the universal law of gravity, according to which any two objects will gravitationally pull one another with a force exactly equal to the applied of their masses and divided by the square of a distance separating them.

Because of this, larger items naturally weigh more when placed in the same spot; yet, the farther any object seems to be from the Earth, the less weight it has.

Because of the tiny difference in size between the polar and equatorial radii of the Earth, an object's weight at the South Pole is somewhat higher than its value at the Equator.

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A 80.0 kg person on rollerblades pushes against a 700. Kg box on wheels with a force of 50.0 N and they roll away from each other. The person accelerates to the left and the box accelerates to the right.

Answers

Answer:

 person a₁ = -0.625 m / s², box a₂ = 0.0714 m / s²

Explanation:

In this exercise we have a problem of action and reaction forces, the force with which the person (action) pushes the box is of the same magnitude as the force with which the box (reaction) pushes the person, but in the opposite direction.

We work that body separately

Person

           -F = m₁ a₁

             a₁ = -F / m₁

             a₁ = -50.0 / 80.0

             a₁ = -0.625 m / s²

the negative sign means that the person moves away from the box

Box

            F = m₂ a₂

            a₂ = F / m₂

            a₂ = 50.0 / 700

            a₂ = 0.0714 m / s²

Each external force acts on the system for 10 seconds. Rank the change in momentum of each of the cart-cart systems from largest to smallest. (The label of “m” or “2 m” desginates the relative mass of each cart.)

It is possible to have some of the categories below BLANK since you may have items that are EQUAL to each other.
Put the largest as far up as you can, and the smallest as far down as you can

Answers

Answer:

thanks me later

PLEASS MARK ME AS BRAINLIEST ANSWER

A wave hits an object as shown. A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle. Which kind of wave interaction is shown?

Answers

Answer:

refraction

Explanation:

When the wave moves from medium 1 to medium 2, then the wave gets refracted. Then the correct option is C.

What is the wave?

A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are a few examples.

A wave is a dynamic disturbance of one or more variables that propagates in physics, geometry, and related sciences. When waves oscillate frequently around an equilibrium value at a certain frequency, they are said to be periodic.

The bending of waves as they go from one substance to another is known as wave refraction. It bends when the wave enters a new material because the wave's speed changes. The optical density or index of refraction of the material affects how light waves bend.

Thus, the correct option is C.

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The missing options are given below.

absorption

diffraction

refraction

reflection

An instant soup is very low in fat and calories but high in sodium. Can this food be labeled “ healthy”?

Answers

Answer:

no

Explanation:

it is not healthy because sodium is not good to our body

No it is not healthy.

The following information should be considered:

The instant soup is the processed food and it have the expire time of about 6 months.If we make the soup homemade than it will be okay for only 1 or 2 foods. Also it is high in sodium.

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Which angle allows the soil to receive the most direct light from the lamp?
0 degrees
20 degrees
45 degrees
90 degrees

Answers

D. 90 degrees

Hope this helped !

Answer:

D. 90 degrees

Explanation:

just finished lab

What are the half lives for uranium-235 and uranium-238?
a.
The half-life of uranium-235 is 713 seconds, the half-life of uranium-238 is 4.5 minutes
c.
The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years
b.
The half-life of uranium-235 is 713 days, the half-life of uranium-238 is 450 days
d.
None of the above

Answers

Answer:

C. The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years



The seed planted at extreme cold or in the region of frozen ice do not germinate, why?​

Answers

Answer:

yes

The the seed planted at Extreme cold or in the region of frozen I did not germinate because the amount of moisture of the seed is too high which results in lack of air of the sea in the frozen ice

In fact, a soil temperature below 50°F might be problematic for many garden plants. Seeds will quickly absorb water at 40°C, but they won't begin to grow. This presents a risk for rot and disease, which may cause damping-off or subpar growth.

What is germination of seed?

The formation of the seedling is the consequence of germination, which is often the growth of a plant inside a seed. It is also the process of the seed's metabolic machinery being reactivated, which causes the radicle and plumule to emerge. A vascular plant's seed is a little bundle that develops in a fruit or cone as the result of the union of the male and female reproductive cells.

Given the need for particular internal or external stimuli to resume growth, dormant seeds are viable seeds that do not germinate. When the right circumstances are present, the seed starts to germinate and the embryo starts to grow again, eventually becoming a seedling.

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4. Find the valency of atoms of chlorine, sulphur and magnesium.​

Answers

Answer:

1. Chlorine = 7 valence electrons.

2. Sulphur = 6 valence electrons.

3. Magnesium = 2 valence electrons.

Explanation:

In Chemistry, valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.

1. Chlorine = it is an element found in group (7) of the periodic table known as halogens and as such it has 7 electrons in its outermost shell. Therefore, Chlorine has seven (7) valence electrons.

Sulphur = this element is found in group (6) of the periodic table and as such it has 6 electrons in its outermost shell. Therefore, Sulphur has six (6) valence electrons.

Magnesium = this element is found in group (2) of the periodic table and as such it has 2 electrons in its outermost shell. Therefore, Magnesium has two (2) valence electrons.

Can somebody plz help me with this one the question is in the screen shot.

Answers

this is in order.

LANDFILL

GROUNDWATER

PESTICIDE

FERTILIZER

HAZARDOUS WASTE

SEPTIC SYSTEM

SEEPAGE

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