A Ferris wheel with 60 spokes has a diameter of 100 m. It makes one rotation every 60 seconds. Find the speed of the passengers when the Ferris wheel is rotating at this rate.

Answers

Answer 1

Answer:

The speed of the passengers is 5.24 m/s

Explanation:

Uniform Circular Motion

It occurs when an object in a circular path travels equal angles in equal times.

The angular speed can be calculated in two different ways:

[tex]\displaystyle \omega=\frac{v}{r}[/tex]

Where:

v = tangential speed

r = radius of the circle described by the rotating object

Also:

[tex]\omega=2\pi f[/tex]

Where:

f = frequency

Since the frequency is calculated when the number of revolutions n and the time t are known:

[tex]\displaystyle f=\frac{n}{t}[/tex]

The Ferris wheel has a diameter of 100 m and makes n=1 rotation in t=60 seconds, thus the frequency is:

[tex]\displaystyle f=\frac{1}{60}\ Hz[/tex]

The angular speed is:

[tex]\displaystyle \omega=2\pi \frac{1}{60} =\frac{\pi}{30} \ rad/s[/tex]

Now we calculate the tangential speed, solving this formula for v:

[tex]\displaystyle \omega=\frac{v}{r}[/tex]

[tex]v=\omega . r[/tex]

The radius is half the diameter, r=100/2=50 m:

[tex]\displaystyle v=\frac{\pi}{30} . 50[/tex]

Calculating:

v = 5.24 m/s

The speed of the passengers is 5.24 m/s


Related Questions

Explain how polarization of a cell increases the cell's internal resistance.
(2
2.​

Answers

Answer:

Explanation: The chemical action that occurs in the cell while the current is flowing causes hydrogen bubbles to form on the surface of the anode. This action is called POLARIZATION. Some hydrogen bubbles rise to the surface of the electrolyte and escape into the air, some remain on the surface of the anode. If enough bubbles remain around the anode, the bubbles form a barrier that increases internal resistance. When the internal resistance of the cell increases, the output current is decreased and the voltage of the cell also decreases.

   A cell that is heavily polarized has no useful output. There are several methods to prevent polarization or to depolarize the cell.

   One method uses a vent on the cell to permit the hydrogen to escape into the air. A disadvantage of this method is that hydrogen is not available to reform into the electrolyte during recharging. This problem is solved by adding water to the electrolyte, such as in an automobile battery. A second method is to use material that is rich in oxygen, such as manganese dioxide, which supplies free oxygen to combine with the hydrogen and form water.

   A third method is to use a material that will absorb the hydrogen, such as calcium. The calcium releases hydrogen during the charging process. All three methods remove enough hydrogen so that the cell is practically free from polarization.

LOCAL ACTION

   When the external circuit is removed, the current ceases to flow, and, theoretically, all chemical action within the cell stops. However, commercial zinc contains many impurities, such as iron, carbon, lead, and arsenic. These impurities form many small electrical cells within the zinc electrode in which current flows between the zinc and its impurities. Thus, the chemical action continues even though the cell itself is not connected to a load.

   Local action may be prevented by using pure zinc (which is not practical), by coating the zinc with mercury, or by adding a small percentage of mercury to the zinc during the manufacturing process. The treatment of the zinc with mercury is called amalgamating (mixing) the zinc. Since mercury is many times heavier than an equal volume of water, small particles of impurities weighing less than mercury will float to the surface of the mercury. The removal of these impurities from the zinc prevents local action. The mercury is not readily acted upon by the acid. When the cell is delivering current to a load, the mercury continues to act on the impurities in the zinc. This causes the impurities to leave the surface of the zinc electrode and float to the surface of the mercury. This process greatly increases the storage life of the cell.

In specific heat capacity experiment, the ammeter in circuit is connected in

Answers

Answer:

In series

Explanation:

In such experiment, the ammeter is connected in series with the heater, in order to measure the circulating current.

By the way, ammeters are always connected in series in circuits to measure the running current in it.

Which wave has a longer wavelength?

Answers

Wave D has the longest wavelength

Which example provides a complete scientific description of an object in motion?

(A) The hiker followed the north trail a distance of two kilometers in thirty minutes

(B) The tiger had to run at 50 kilometers per hour across the field to catch the zebra

(C) The hockey player sent the puck flying toward the north goal to score the winning point

(D) The vibration of the jackhammer broke through the south-facing rock in under 10 seconds

Answers

Answer:

C

Explanation:

it explains how an object that was in motion continued motion after the force

The ancestors of horses possess feet with five digits . Over time with the development of grassland the digits fused and former hooves . What evolutionary advantage did this transformation serve

Answers

Answer:

It enabled them to run faster from predators.

Explanation:

The evolution of hooves from a five-digit feet enabled horses to run faster from predators as well as support their larger weights and longer legs. Hope this helped and have an awesome day! :)

It enabled them to run faster from predators. ]

Explanation: The evolution of hooves from a five-digit feet enabled horses to run faster from predators as well as support their larger weights and longer legs.

Which answer below most accurately describes both cells?

Answers

Could you provide a picture or provide an explanation of what cells they are

To get up on the roof, a person (mass 85 kg) places a 6.82 m aluminum ladder (mass 12.6 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. At the top ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.0 m from the bottom. The person is standing 3.0 m from the bottom of ladder. What are the magnitudes of the forces on the ladder at the top and at the bottom

Answers

Answer:

 Fₓ = 123.8 N and     F_{y} = 0

Explanation:

This is a static balance exercise, to see the forces, see the attachment. In this W is the weight of the ladder and W1 the weight of the man.

locate a reference system at the bottom of the ladder with the horizontal x axis, it will assume that the counterclockwise turns are positive

         Σ τ = 0

          x  + Fₓ y - W₁ d₁ -W d₂ + N 0 + fr 0 = 0

   use trigonometry to find the distances

       cos θ = x / L

       θ = cos⁻¹ (x / L)

       θ = cos⁻¹ (2 / 6.82)

       θ = 72.9º

        in 72.9 = y / L

        y = L sin 72.9

        y = 6.82 sin 72.9

        y = 6.519 m

       

Center of mass ladder

        cos 72.9 = d₂ / 2

        d₂ = 2 cos 72.9 = 0.588 m

x coordinate of man

       cos 72.9 = d₁ / 3

       d₁ = 3 cos 72.9 = 0.882 m

we substitute

      2 + Fₓ 6.519 - W₁ 0.882 -W 0.588 = 0

   

as they indicate that the plastic basket has no friction

       F_{y} = 0

       Fₓ 6.519 - W₁ 0.882 -W 0.588 = 0

       Fₓ 6.519 = M₁ g 0.882 + m g 0.588

we calculate

         Fₓ = 85 9.8 0.882 + 12.6 9.8 0.588) / 6.519

         Fₓ = 123.8 N

Power lines often carry high voltages. For example, a single power line may carry 100,000 volts. An outlet in a home only carries 120-240 volts. What accounts for this difference in voltage?
- Voltage is decreased due to traveling long distances.
- Voltage is decreased by local transformers.
- Voltage is decreased as it is lost to the environment.

Answers

Answer: The second one? C.

Answer:

B. - Voltage is decreased by local transformers.

Explanation:

edge 2021  beep boop


10) The coil of transformer is coated by enamel why​

Answers

Answer:

Enamel is used to coat the wires, it is the thinnest possible insulator. The coils are made up of large number of turns and enamel makes it possible to cram a lot of wires (coils) in much smaller space.

A circular wire loop lies inside a region of space containing a magnetic field. The direction of the magnetic field is out of the screen and parallel to the central axis of the loop. The magnitude of the magnetic field increases as a function of time. A circular loop oriented parallel to the plane of the screen lies inside a region containing magnetic field B. The field is directed out of the screen and is increasing. What is the direction of the induced current in the loop

Answers

Answer:

clockwise

Explanation:

According to the law given by Lenz, known as the Lenz law, it is said that a current induced in the circuit which is due to the change in the magnetic field and is so directed so as to oppose the change in the flux and to apply a force in the opposite direction if the force.

Here, as the magnetic field is directed out of the screen, the current flows in the direction which is clockwise in the loop and it opposes the increasing magnetic field.

The clockwise induced current will produce magnetic field in to the screen.

Which term best describes the motion of the rope particles in relation to the motion of the rope wave shown in the photograph

Answers

Answer:

A: Perpendicular

Explanation:

The question is incomplete as it lacks the image of the rope wave motion.

However, as found on "estudyassistant", the options are;

A) Perpendicular

B) Circular

C) Longitudinal

D) Parallel

From all that, we can say that;

The rope's are moving simultaneously in the same pattern without touching each other.

This is therefore a mechanical wave being created with the motion having oscillations that are perpendicular to the direction of energy transfer of the ropes.

This is a definition of transverse waves because the rope particle motion is perpendicular to the wave motion.

Answer:

A: Perpendicular

Explanation:

Read above explanation.

A herdsman yelling out to a fellow herdsman heard his voice reflected by a cliff 4s later.What is
the velocity of sound in air if the cliff is 680m away​

Answers

Answer:

v = 340 m/s

Explanation:

Given that,

A herdsman yelling out to a fellow herdsman heard his voice reflected by a cliff 4s later.

The cliff is 680 m away

We need to find the velocity of sound in air.

Velocity = distance/time

Distance = 2 × 680 = 1360 m

[tex]v=\dfrac{1360\ m}{4\ s}\\\\=340\ m/s[/tex]

So, the velocity of sound in air is 340 m/s.

if u want to play among us have fun the code is UQEZFF

Answers

Answer:

ight bet

Explanation:

Thanks so much ahah

A chair is thrown upward from a balcony that's 96 ft in the air, at an initial velocity of 16 ft/s.



How many seconds does the chair take to reach its highest height?

Answers

Answer:

t = 6 s

Explanation:

Given that,

A chair is thrown upward from a balcony that's 96 ft in the air, d = 96 ft

The initial velocity of chair, u = 16 ft/s

We need to find how many seconds does the chair take to reach its highest height. Let the time is t.

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{96\ ft}{16\ ft/s}\\\\=6\ s[/tex]

Hence, the chair take 6 seconds to reach its maximum height.

give 2 reasons why a person should move away from "isolating muscles"

Answers

Answer:

1) - They should move away because its cold

2) - You can get hypothermia......

Explanation:

The wave produced by a piano's middle C has a frequency of 440 Hz
and a wavespeed of 344 m/s. What is its wavelength?

Answers

Answer:

0.78 m

Explanation:

I just did a hw question for this its just 344  divided by 440

2/3


If the crate has a mass of 80 kg, how much would it weigh?

Answers

are you asking if what it would weigh in lbs?

A student heated 50mL of water from zero degree Celsius to 60 degree Celsius. How much energy did she use to heat the water? Remember cal = m x delta T

Answers

Answer:

Q = 12.5 kJ

Explanation:

Given that,

Mass of water, m = 50 mL = 0.05 kg

The temperature changes from 0 degree Celsius to 60 degree Celsius.

We need to find how much energy she use to heat the water. The energy required to heat the water is given by :

[tex]Q=mc\Delta T[/tex]

Where c is specific heat of water, c = 4186 J/kgºC

[tex]Q=0.05\times 4186 \times (60-0)\\\\=12558\ J[/tex]

or

Q = 12.5 kJ

So, the energy used to heat th water is 12.5 kJ.

A particle starts from rest and moves with a constant acceleration. It travels the first 16 m in 4 s.
The time (in second) at which the velocity of the particle becomes. 8. m/s is:
a) 3
b) 4
c) 5
d) 6
e) 7

Answers

Answer:

B

Explanation:

What is the magnitude of the Box's Acceleration?​

Answers

The Box's Acceleration : g sin θ

Further explanation  

Newton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object  

∑F = m. a  

F = force, N  

m = mass = kg  

a = acceleration due to gravity, m / s²  

We plot the forces acting on the block (picture attached) according to the y-axis and the x-axis.

Because the motion of the block is in the same direction as the x-axis, ignoring the friction force with the inclined plane, then

[tex]\tt \sum F_x=m.a\\\\W.sin\theta=m.a\\\\mgsin\theta=m.a\\\\a=gsin\thet\theta[/tex]

What is the resistance of a wire with "p" of .25, a length "L" of 11.2, and an area "A" of 1.26?

Answers

Answer:

Resistance = 2.2 Ohms.

Explanation:

Given the following data;

Resistivity, P = 0.25

Length, L = 11.2

Area, A = 1.26

To find the resistance.

Resistance is given by the formula below;

Resistance = PL/A

Substituting into the equation, we have;

Resistance = (0.25*11.2)1.26

Resistance = 2.8/1.26

Resistance = 2.2 Ohms.

Therefore, the resistance of the wire is 2.2 Ohms.

A small, 300 g cart is moving at 1.10 m/s on an air track when it collides with a larger, 4.00 kg cart at rest. After the collision, the small cart recoils at 0.890 m/s. What is the speed of the large cart after the collision (answer in m/s please)?

Answers

Answer:

0.0158m/s

Explanation:

Using the law of conservation of energy which states that the sum of momentum before collision is equal to the sum after collision. It is expressed mathematically as;

m1u1 + m2u2 =  m1v1 + m2v1

m1 and m2 are the masses of the object

u1 and u2 are the initial velocities

v1 and v2 are the final velocities

Given

m1 = 300g  = 0.3kg

u1 = 1.10m/s

m2 = 4.00kg

u2 = 0m/s (at rest)

v1 = 0.890

v2 = ?

Substitute the given values into the formula;

0.3(1.10) + 0 = 0.3(0.89) + 4v2

0.33 = 0.267 + 4v2

0.33-0.267 = 4v2

0.063 = 4v2

v2 = 0.063/4

v2 = 0.0158m/s

Hence the speed of the large cart after the collision is 0.0158m/s

The speed of the large cart will be "0.0158 m/s".

According to the question:

Mass,

[tex]m_1 = 300 \ g = 0.3 \ kg[/tex][tex]m_2 = 4.00 \ kg[/tex]

Final velocity,

[tex]u_1 = 1.10 \ m/s[/tex][tex]u_2 = 0 \ m/s[/tex]

Initial velocity,

[tex]v_1 = 0.890 \ m/s[/tex][tex]v_2 = \ ?[/tex]

By using the law of conservation, we get

→ [tex]m_1 u_1 +m_2 u_2 =m_1 v_1 +m_2 v_1[/tex]

By substituting the values, we get

→ [tex]0.3(1.10)+0 = 0.3(0.89)+4v_2[/tex]

→              [tex]0.33=0.267+4 v_2[/tex]

   [tex]0.33-0.267 = 4 v_2[/tex]

              [tex]0.063 =4v_2[/tex]

                   [tex]v_2 = \frac{0.063}{4}[/tex]

                       [tex]= 0.0158 \ m/s[/tex]

Thus the response above is appropriate.

Learn more about speed here:

https://brainly.com/question/14478313

In a step-down transformer the secondary coil is made of thick copper coil.
Explain
(2 marks)​

Answers

Answer:

In a step-up transformer, the secondary coil is made of same wire as the primary coil but it is rolled with the presence of the insulated which never conduct the opposite current to the coil.

Hence it function property without meeting any fire and other problem.

Even if you want to get clear ideas, then you have to go with official website.

When a transformer is in operation, there are ac currents in primary and secondary coils. ... This is the most important for the high current winding (the secondary coil of a step-down transformer). Thick copper wire is used for this winding, because thick wire of low resistivity has a low resistance.

what type of friction present when you wrench on a car?

Answers

Answer:Rolling friction is friction that acts on objects when they are rolling over a surface. Rolling friction is much weaker than sliding friction or static friction. This explains why most forms of ground transportation use wheels, including bicycles, cars, 4-wheelers, roller skates, scooters, and skateboards.

Explanation:

A car starting at rest accelerates to a speed of 6miles/hr in 5 sec what is the average acceleration

Answers

Answer:

1.2 mi/hr/sec

Explanation:

a = Vf - Vi / t (formula)

-----------------------------------

     6mi/hr - 0 mi/hr        6 mi/hr

a = ____________ =    _______ = 1.2 mi/hr/sec

              5 sec                 5 sec

That look very confusing

Wavelength is a measurement of ___________ , while period is a measurement of ___________ . *
Speed; time
Time; speed
Distance; time
Time; distance

Distance; speed
Speed; distance

Answers

distance ; time

Explanation:

wavelength is in metres [m]

period is in seconds [s]

If two ___ forces are applied to an object in opposite directions, the object does not move, or moves at a ___ , this means the forces are ___. If to ___ forces are applied to an object in opposite directions, the object does move, this means the forces are ___.

Answers

Answer:

Equal and opposite

Constant speed

Balanced

Unequal and non-opposite

Unbalanced

Explanation:

Balanced forces can be defined as forces which are equal in size but opposite in direction.

Now, these forces do not cause a change in motion because when they act on an object at rest, such an object will not move. For example, when attempt to push against a wall, the wall will push back with an equal but opposite force and neither you nor the wall will move.

While unbalanced forces are those that cause a change in the motion of an object.

Thus, these forces are said not to be equal and opposite.

What is the mechanical advantage of the inclined plane below?
a) 2.6
b) 0.8
c) 2.4
d) 0.6​

Answers

Answer;

2.6

Explanation;

Formular for mechanical advantage is length of the slope divided by the height of the inclined plane.[tex]1.85 \div 0.72 = 2.56[/tex]Approximately 2.6

Is solar power and solar energy the same thing ?

Answers

Answer:

yes I think

Explanation:

Solar energy systems refer to any technology that converts the sun's energy into another form of energy, such as heat or electricity. ... Solar power is a a subset of solar energy, a more narrow term that typically refers to the conversion of the sun's rays to electricity.

Joe applies a force of 50 N to a box which has a mass of 15 kg. What is the acceleration of the box?
a.

Answers

Answer:

3.333 m/s^2

Explanation:

50/15 = 3.33 m/s^2

Other Questions
Item 8Read the passage.The Sandia MountainsSurrounding New Mexicos largest city are some of the most majestic and awe-inspiring mountains in the Southwest. The Sandia Mountain range stretches only 17 miles. Its highest point, Sandia Crest, is just over 10,000 feet high. This point is two miles above sea level but only one mile above the city of Albuquerque.The word sandia means watermelon in Spanish. The range received its name because of the deep reds, maroons, and pinks that make up its granite and limestone faces. These colors are especially striking at sunset. The westward face of the range is characterized by its rugged, sheer cliffs and large, rocky outgrowths. The eastward face slopes gradually and is covered in the green of pine and juniper trees.The Sandia Mountains have many different attractions that draw tourists each year. One of these is the Sandia Man cave, first discovered and excavated in the 1930s. During its excavation, human tools and clothing were found, as well as the remains of a prehistoric mastodon. Evidence at the cave site dates human usage between nine and eleven thousand years ago, making this one of the oldest human habitats in North America.Another attraction is the Sandia Peak Tramway. This tram system has two tram cars that run every 15 to 30 minutes. One car ascends the mountain, taking passengers to the top where they disembark. The other descends the mountain, bringing them back down. First opened in 1966, the cars hold a maximum of 55 passengers. During construction of the tram, thousands of helicopter flights lifted cables, workers, and materials to build the two towers to the mountaintop.The total length of the tram system extends nearly three miles. The span that extends from the second tower to the peak is the third longest clear span in the world. A clear span is a "length of cable between supporting towers." The cars travel at a speed of 12 miles per hour and provide passengers with an unimpeded view of the city of Albuquerque, the Rio Grande, and even three extinct volcanoes.Tram passengers are also able to see a wide variety of birds and animals native to the mountains ecosystem. As a passenger on the Sandia Peak Tramway, you might see golden eagles, Stellers jays, ravens, and canyon wrens. You may also glimpse a few land animals like mule deer, black bears, and bobcats.What is the authors purpose in writing the second paragraph of The Sandia Mountains?to convince the reader that the Sandia Mountains are specialto give the reader basic statistics about the Sandia Mountainsto describe for the reader what the Sandia Mountains look liketo persuade the reader to visit the Sandia Mountains ejt-vokv-opj join to teach Please help me I have no idea what I am doing. A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a25% solution. How much of each should she use to prepare the desired solution? Shade row 3 and column C. WORTH 40 POINTS HELP ASAP PLZZ In one or two paragraphs, describe one problem that helped lead to the fall of the Roman Empire. Are there any lessons that modern nations could learn to avoid this problem? Water freezes at 32 Fahrenheit, which is 0 Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius Which subject in school is the best and why? Write an equation of the line in slope intercept form (0,5)(3,4) what is coloian rule solve the following question I need to fill in the blank 80 Points someone please help emergency!! The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of six urban centers in Canada in May 2011. Urban area Price/literSt. John, NL 137.1Halifax 133.6Montreal 136.2Regina 132.3Saskatoon 132.2Yellowknife 138.9Required:a. Find the sample mean (in cents). b. Find the sample standard deviation (in cents). c. Find a 90% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval. d. Find a 95% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval. I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each! WILL GIVE BRAINLYEST!!! PROTAGONIST EXAMPLES How did Portugal and Italian city-states affect travel and trade during the early modern period? please help. I really need it. sebuah bulatan mempunyai lilitan 88cm . cari diameternya, dalam cm Effects on Mexican Americans