The New York Wheel is the world's largest Ferris wheel. It's 183 meters in diameter and rotates once every 37.3 min.
Find the magnitude of the average acceleration at the wheel's rim, over a 8.60-min interval.

Answers

Answer 1
The radius of the Ferris wheel is r = 83/2 = 91.5 m.

The angular velocity is
ω = (2π rad)/(37.3*60 s) = 2.8075 rad/s
The tangential velocity is
v = rω = 0.2569 m/s

The arc length traveled in 8.6 min (= 8.6*60 s = 516 s) is
s = (91.5 m)*(2.8075 rad/s)*(516 s) = 132.553 m
The central angle swept is
θ = 132.553/91.5 = 1.4487 rad

From the vector diagram, the change in velocity is (from the Law of Cosines)
Δv² = v²(1 - 2 cosФ)
where Ф = Π - 1.4487 = 1.6929 rad
Δv² = 0.2569²[1 - 2*(-0.1218)] = 0.0821
Δv = 0.2865 m/s

The acceleration is
a₁ = (0.2865 m/s)/(516 s) = 5.6 x 10⁻⁴ m/s²

The actual centripetal acceleration is directed toward the center of the wheel, and its value is
a = v²/r = 0.2569²/91.5 = 7.2 x 10⁻⁴ m/s²

Answer: 
a = 7.2 x 10⁻⁴ m/s², the centripetal acceleration acting toward the center of the wheel.
The magnitude of a₁ is 5.6 x 10⁻⁴ m/s², but it is not directed toward the center of the wheel.
The New York Wheel Is The World's Largest Ferris Wheel. It's 183 Meters In Diameter And Rotates Once

Related Questions

a brick dropped from 78m high scaffold. what is the velocity as the brick hits the pavement? show work.

Answers

39.09987212 m/s There are a couple of ways to solve this problem. We can use the equation for the distance an object moves under a constant acceleration of 9.8 m/s^2, or we can calculate the kinetic energy an object will have after falling 78 meters and from there calculate the velocity. Let's first use the constant acceleration formula: d = 0.5 AT^2 78 m = 0.5 * 9.8 m/s^2 * T^2 78 m = 4.9 m/s^2 * T^2 15.91836735 s^2 = T^2 3.98978287 = T So we now know it takes 3.98978287 second for the brick to hit the ground. And at an acceleration of 9.8 m/s^2 we get: 3.98978287 s * 9.8 m/s^2 = 39.09987212 m/s Now let's try using the energy method. I will assume that the mass of the brick is 1 kg, but any non-zero value will do. So 78 m * 9.8 m/s^2 * 1 kg = 764.4 kg*m^2/s^2 And kinetic energy is expressed as KE = 0.5 mv^2 So 764.4 kg*m^2/s^2 = 0.5 1 kg * v^2 764.4 kg*m^2/s^2 = 0.5 kg * v^2 1528.8 m^2/s^2 = v^2 39.09987212 m/s = v So the determine how long it takes and multiply by the acceleration method gives 39.09987212 m/s. And the use the energy to determine the velocity gives 39.09987212 m/s. So it doesn't matter which of the two methods you use. But, personally, I think the energy method is simpler, although the time method is more direct.

Answer:

39.09987212m/s

This is the ans.

Why do oceanographers study Meddies?

Answers

They studied that because they responsible for the sea level and mammals undersea

which of the following types of waves has the greatest amount of energy?

Answers

gamma rays is the answer
hope it helped!

How did the mechanical legs using to building robots reassemble the walking motions how are they different

Answers

If your in middle school how do you not know proper grammar?

Explain how a microwave oven heats a cup of water.

Answers

A microwave oven heats water by emitting microwaves that cause water molecules to rotate and create thermal energy, efficiently heating the liquid due to the molecular freedom in the water.

A microwave oven heats a cup of water by utilizing microwaves at a frequency of 2.45 GHz, which excite the water molecules in the cup. These microwaves create an oscillating electric field that exerts a torque on the dipolar water molecules, causing them to rotate aggressively. This doesn't substantially heat the container as materials like plastic and glass lack these dipolar water molecules. This molecular motion translates into thermal energy due to friction and collisions between molecules, thus heating the water. It's observed that heating liquids like water is much more efficient than solids due to the greater freedom of movement that allows the molecules in liquids to more readily absorb and disperse the energy from the microwaves.

Marisa's car accelerates at an average rate of 2.6m/s2. How long will it take her car to accelerate from 24.6m/s to 26.8m/s?

Answers

It would take her 2.2 m which is in about 1.7 seconds

IN THIS FORMULA FOR WATER WHAT DOES THE SUBSCRIPT 2 INDICATE

Answers

The chemical formular for water is H2O.
The H aspect of the formula stands for hydrogen gas and the subscript 2 which is attached to the H symbol signifies that two atoms of hydrogen are joined together, that is two atom of hydrogen are present.
The chemical formula of water indicates that, two atom of hydrogen react with one atom of oxygen to form one molecule of water.
In chemical formulae, subscripts are normally used to indicate the number of atoms that are present in a molecule.

Use the following terms in the same sentence:proton, neutron ,and isotope

Answers

Atoms of the same element having equal numbers of protons, but different numbers of neutrons is called isotope.

The difference between a hypothesis and an inference

Answers

Hypothesis is a educated guesd

improvements in which area would help reduce the possibility of change to the environment when using uranium as a fuel ?

Answers

The correct option is MORE EFFICIENT EXTRACTION TECHNIQUES.
Uranium extraction and processing have the potential to impact negative effects on the quality and quantity of surface water and ground water, soil, air quality and biota. Thus, improvement in the area of more efficient extraction will reduce the possibility of change to the environment.

Decrease in amount of time that you spent exercising is a form of overloading training true or false

Answers

The answer to: Decrease in amount of time that you spent exercising is a form of overloading training is FALSE

What is the only truly liquid layer of the earth?

A) inner core
B) outer core
C) lower mantle
D) Upper Mantle

Answers

The answer is outer core liquid iron and nickel.
The outer core layer of the earth lies between the mantle and the solid inner core. It is the only liquid layer, a sea of mostly iron and nickel about 1,400 miles (2,300 km) thick.

What helped provide support for the Plate Tectonic theory in the 1960s?

A) Detailed research of the ocean floor
B) Shape of the continental coastlines matching up together
C) Mountain ranges that seem to match up on different continents
D) Mineral and fossil matches from tests done on different continents

Answers

D. Mineral and fossil matches from tests done on different continents.

WILL GIVE BRAINLIEST!!!

The Mid-Atlantic Ridge in the Atlantic Ocean is the site of the largest mountain range in the world. It runs all the way from the Arctic Ocean to the southern tip of Africa. Because of movements at the Mid-Atlantic Ridge, the Atlantic Ocean widens by about 2.5 centimeters each year. Which type of plate boundary causes this motion?

A) Transform boundary

B) Strike-slip boundary

C) Divergent boundary

D) Convergent boundary

Answers

Answer:

Explanation:

Divergent Boundary

Answer:

The Mid Atlantic Ridge, like other ocean ridge systems, has developed as a consequence of the divergent motion between the Eurasian and North American, and African and South American Plates

Explanation:

What has to be true about mass if a small object (like a metal ball) has a high density? A: The mass has to be high compared to the volume. B: The mass has to be low compared to the volume. C: The mass is not related to the density. D: The mass would be determined by throwing the ball in water.

Answers

Since density is equal to mass divided by volume, we can determine the relationship between mass, density, and volume. Therefore, we can automatically know that the answer must either be A or B, since this information is determinable. The prompt lists the object as small. Therefore, we know that density is high, but volume is low. Let's examine the equation (D = M/V), where d = density, m = mass, and v = volume. In order for any number to be divided by a smaller number and have the end result be a higher number, the numerator (i.e. mass) must be bigger than the denominator (i.e. volume). We can also see that this is true by substituting in somewhat random numbers for d, m, and v. D = M / V 5 = 10 / 2 10 > 2 M > V In conclusion, your answer is D.

Answer:

the mass must be high compared to the volume

Explanation:

i just took a test and got 100%

Which describes the greatest displacement?

A) walking 3m east, then walking 3m north, then 3m west
B) walking 3m east, then 3m south, then 3m north
C) walking 3m north, then 3m south, then walking 3m north
D) walking 3m north, then 3m west, then 3m south

Thank you!

Answers

These choices produce displacements in different directions, but the magnitude of the displacement is 3m for each choice. None of the choices produces a displacement that's longer or shorter than any other choice.
Final answer:

The greatest displacement is either option A or C, as both result in the person being displaced by 3 meters north of their starting point.

Explanation:

The question asks which of the given options describes the greatest displacement. Displacement is a vector quantity that describes the change in position of an object. It is important to understand that displacement takes into account the initial and final positions, not the total distance traveled.

A) walking 3m east, then walking 3m north, then 3m westB) walking 3m east, then 3m south, then 3m northC) walking 3m north, then 3m south, then walking 3m northD) walking 3m north, then 3m west, then 3m south

For option A, the displacement would result in the person being 3m north from their starting point, since the east and west movements cancel out. Option B results in the person being 3m east of the starting point, as the south and north movements cancel each other out. Option C essentially brings the person back to their starting point after the first two movements, and then displaces them 3m north, similar to option A. Finally, option D involves the person moving 3m in each of the cardinal directions, which would bring them right back to their starting point, resulting in a displacement of 0 meters.

The correct answer is either option A or C, as both result in the greatest displacement, which is 3 meters north.

true or False: Friction makes energy vanish. Explain your answer!

Answers

False because friction will generate heat energy and/or sound energy etc. Think of a car stopping or a broom sweeping the ground.

Which of the following is an example of changing the impulse of a collision?
Question 2 options:


A boxer turning his head while being punched.


A truck smashing into two-layered retaining wall.


Removing mass from a ship before it collides with an iceberg.


A sugar-glider slowing down mid-air before hitting the ground.

Answers

By definition, Momentum = Mass x Velocity.

Let us examine the given statements, and decide whether the impulse of the momentum is either LOWERED, INCREASED, or UNCHANGED.
 
Case 1: A boxer turns his head while being punched.
By turning his head away from the incoming punch, the boxer lowers the
velocity with which the punch is delivered.
Answer: LOWERED

Case 2: A truck smashes into a two-layered retaining wall.
Neither the mass nor the velocity of the truck changes before impact.
Answer: UNCHANGED

Case 3: Mass is removed from a ship before it collides with an iceberg.
By removing mass from the ship, the momentum is lowered.
Answer: LOWERED

Case 4: A sugar-glider slows down in mid-air before hitting the ground.
By lowering the velocity, momentum is lowered.
Answer: LOWERED

Which question about the discovery of the earth revolving around the sun could be best answered using scientific inquiry

Answers

Final answer:

In order to scientifically demonstrate that Earth is spherical, one can measure the Earth's curvature, conduct gravity experiments, utilize satellite imagery, and observe the change in constellations at different latitudes.

Explanation:

The question that could be best answered using scientific inquiry about the discovery of the Earth revolving around the sun would be: Give four ways to demonstrate that Earth is spherical.

Measure the Earth's curvature using a long-distance view, such as observing a ship disappearing over the horizon.Conduct experiments with gravity, such as observing the shape of water in a container or using a plumb line to measure verticality.Utilize satellite imagery or photos taken from space to show the Earth's spherical shape.Observe the change in constellations as you move away from the equator, which can only be explained by Earth's sphericity.

How much force is needed to accelerate a 66 kg skier at 2 m/sec2? A) 132 kg B) 33 N C) 0.03 kg D) 132 N

Answers

Hello there!

Let's take a look at the formula for Force.

F = MA
Force is equivalent to the product of Mass and Acceleration. Mass is always measured in kg (kilograms), and Acceleration is always measured in meters per second squared (m/s^2). Force is always measured in Newtons (N).

We have our Mass, 66, and our Acceleration, 2 m/s^2. To find our Force, we need to multiply both of our given numbers.

66 x 2 = 132

132N is our Force.

D.) 132N is your answer.

I hope this helps!
132N is the anwser
Thanks

Read the given list of organisms.

deer, sheep, wolf, cattle, insects

What best describes the role of these five organisms in a food web?

Carnivores, as they all eat meat
Herbivores, as they all feed on plants
Consumers, as they all make their own food
Consumers, as they all obtain food from plants or animals

Answers

Consumers, as they all obtain food from plants or animals

Answer:

the answer would be B

Explanation:

all the animals are plant eaters or herbivores

What occurs when an object vibrates in response to sound waves of a certain frequency?

Answers

i believe its vibration or my teacher taught me wrong

answer: resonance

Explanation: APHEX

You have discovered a meteorite that seems to be metallic. Its mass is 370 g, and you calculate the volume to be 50 cm3. Based on the three values provided, which metal would most likely match the composition of the meteorite?aluminumironleadnone of these (density is less than 1.0)

Answers

Hello!

I'm quite sure the answer is: Iron,

I really hope this helped you! :)
just like the one above me said, the answer is iron. hope this has helped u verify your answer

Denise is conducting a physics experiment to measure the acceleration of a falling object when it slows down and comes to a stop. She drops a wooden block with a mass od 0.5 kilograms on a sensor on the floor. The sensor measures the force of the impact as 4.9 newtons. Whats the acceleration of the wooden block wgen it hits the sensor

Answers

we need a and we have m and F . Now a = f÷m so therefore a = 4,9 ÷ 0,5 which is 0,98 metres per cubic second

Answer:

[tex]a = 9.8 m/s^2[/tex]

Explanation:

As we know that here given parameters are

[tex]mass = 0.5 kg[/tex]

also we know that force of impact on the floor is given as

[tex]F = 4.9 N[/tex]

now we know by the Newton's 2nd law says that the net force on an object is product of mass and its acceleration

it is given by

[tex]F = ma[/tex]

now we have

[tex]a = \frac{F}{m}[/tex]

[tex]a = \frac{4.9}{0.5}[/tex]

[tex]a = 9.8 m/s^2[/tex]

as the moon changes appearance during the month, it follows a pattern. describe the pattern.

Answers

can go from quarter to half to 75 to a full moon there is also gibbous and crescent moon phases, but generally it starts in the west 

Moon can go through phases from quarter to half to three-forth to a full moon.

What is Full moon?

When the moon is in its full brightness and its whole disc is illuminated.

The Moon reflects its light from the Sun. Only the part of the Moon that faces the Sun is visible. As the Moon revolves around the Earth, its shadow covers part of its surface. The full moon occurs when the entire moon is visible. A quarter way through the cycle, half of the moon is visible, known as the first quarter. When the Moon seems to disappear, which is known as a new moon or no moon.

Thus, Moon can go through phases from quarter to half to three-forth to a full moon.

Learn more about Full moon.

https://brainly.com/question/16347236

#SPJ2

Select the best answer for the question.
19. In a stringed musical instrument, the sound frequency of a particular string can be increased by

Answers

In a stringed musical instrument, the sound frequency of a particular string can be increased by TIGHTENING THE STRING.
Tightening the string of a musical instrument will reduce its size and will make the sound waves to travel faster through the string when the string is plucked and it will produce an higher pitch.

Instrument that I used to open locks

Answers

Depends on what your choices are, could be a key but my first thought was a lockpick.

By definition, we have to:

A key is an element commonly used to open locks where there are some objects that are intended to protect

Theodore of Samos in the seventh century BC invented the keys.

The largest number of keys used are metal (steel or aluminum), its use is to open the lock by entering it and turning.

Answer:

Instrument that I used to open locks is:

The keys.

A paper clip is pushed horizontally off a table with speed 1.5m/s. If the table has a height of 1.1m how far from the table does the paper clip land?
A. 1.4m
B.1.1m
C. 0.47m
D.0.71m

Answers

 the answer is D. 0.71 m

Your soccer team needs to add a new player midseason. Which of these people would most likely demonstrate good sportsmanship based on the information provided? Lexi, because she played on the championship team last year George, because he is the most fit person in the school Jasper, because he developed friendships playing with everyone last year Lauren, because she is competitive and has a drive to win

Answers

Answer:Jasper

Explanation:

Soccer team need to add new player so we should add jasper, because he developed friendships playing with everyone last year .Great sportsmanship can be expected from jasper as he know the team inside out .He may also know strength of weakness of the team mates thus he most suitable for team.

A location in Florida is facing acute water shortage. Which of these is the best method to conserve water in homes of the location?

Answers

The best ways to conserve water are simple. Not washing your car or watering your lawn are great ways to conserve a large amount of water. Limiting time in the shower, turning the water off when brushing your teeth, and not running the water when washing dishes also conserves water.
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