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

The technology in the picture produces which energy conversion?
A. Chemical energy to kinetic energy
B. Thermal energy to kinetic energy
C. Light energy to electrical energy
D. Kinetic energy to electrical energy

Answers

Answer:

D

Explanation:

because the whole town needs to be powered through some sort of energy and kinetic energy means the movement of something

The technology in the picture represents the conversion of kinetic energy to electrical energy. So, the correct option is D.

What is meant by kinetic energy ?

Kinetic energy of a body is defined as the energy acquired by the body due to the virtue of its motion.

Here,

The given picture represents the dam system at a town.

We know, according to conservation of energy, energy can neither be created nor be destroyed, but can be transferred from one form to another.

In the dam system, the application of conservation of energy is implemented.

Dam consists of a water stream and turbines. The water stream is arranged in such a way that, when the water is running from a height, the water acquires an energy in the form of kinetic energy.

This kinetic energy of the water is converted to electrical energy with the help of the turbines, which are rotating continuously and thus electricity is produced.

Hence,

The technology in the picture represents the conversion of kinetic energy to electrical energy.

To learn more about kinetic energy, click:

https://brainly.com/question/999862

#SPJ7

in which part of the circulatory system can the exchange of gases and nutrients take place?

Answers

Exchange of gases, nutrients, and waste between blood and tissue occurs in the capillaries

If a sinusoidal electromagnetic wave with intensity 18 W/m2 has an electric field of amplitude E, then a 36 W/m2 wave of the same wavelength will have an electric field of amplitude?
a. 4E
b. 2 underroot 2E
c. 2E
d. underroot E

Answers

Answer:

The  correct option is D

Explanation:

From the question we are told that

  The intensity of the first  electromagnetic wave is  [tex]I = 18 \ W/m^2[/tex]

  The amplitude of the electric field is  [tex]E_{max}_1 =A[/tex]

   The intensity of the second electromagnetic wave is  [tex]I = 36 \ W/m^2[/tex]

Generally the an electromagnetic wave intensity is mathematically represented as

       [tex]I = \frac{1}{2} * \epsilon_o * c * E_{max}^2[/tex]

Looking at this equation we see that

     [tex]I \ \ \alpha \ \ E^2_{max}[/tex]

=>  [tex]\frac{I_1}{I_2} = [ \frac{ E_{max}_1}{ E_{max}_2} ] ^2[/tex]

=>   [tex]E_{max}_2 = \sqrt{\frac{x}{y} } * E_{max}_1[/tex]

=>  [tex]E_{max}_2 = \sqrt{\frac{36}{18} } * E[/tex]        

=>  [tex]E_{max}_2 = \sqrt{2 } E[/tex]        

Mark all the units for speed

Answers

Answer:

Speed. I am speed.

Explanation:

The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

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.

An object whose specific gravity is 0.850 is placed in water. What fraction of the object is below the surface of the water?

Answers

Answer:

The fraction of the object that is below the surface of the water is ¹⁷/₂₀

Explanation:

Given;

specific gravity of the object, γ = 0.850

Specific gravity is given as;

[tex]specific \ gravity = \frac{density \ of the \ object}{density \ of \ water}\\\\0.85= \frac{density \ of the \ object}{1000 \ kg/m^3} \\\\density \ of the \ object = 850 \ kg/m^3[/tex]

Fraction of the object's weight below the surface of water is calculated as;

[tex]= \frac{850}{1000} \ \times\ 100\%\\\\= 85 \% \\\\= \frac{17}{20}[/tex]

Therefore, the fraction of the object that is below the surface of the water is ¹⁷/₂₀

HELP ASAP!! i’ll mark you the brainliest!!

Answers

Answer:

yes

Explanation:

Look at this model of an atom. Where are the electrons located and how many are there?

Answers

Answer:

The electrons are on the outer shell, there are 10 of them.

Explanation:

There are two in the inner shell and eight in the outer shell, giving us a total of 10 electrons

A solid ball is rolling along a horizontal surface at 3.7 m/s when it encounters an upward
incline. If it rolls without slipping up the incline, what maximum height will it reach?

Answers

Answer:

h = 0.697 [m]  

Explanation:

To solve this problem we must use the energy conservation theorem, where it tells us that kinetic energy is converted to potential energy or vice versa.

[tex]E_{kinet}=E_{pot}[/tex]

where:

Ekinet = kinetic energy [J]

Epot = potential energy [J]

[tex]\frac{1}{2}*m*v^{2}=m*g*h\\0.5*(3.7)^{2} =9.81*h\\h =(6.845)/9.81\\h = 0.697 [m][/tex]

A person pushing a bin with 45 N of force slides the 3 kg plastic bin on a rough surface with friction. The plastic bin is moving with a constant velocity. What is the net force acting on the box?

Answers

Answer:

F = 0

Explanation:

Given that,

Force acting to push a bin = 45 N

Mass of the plastic bin, m = 3 kg

The plastic bin is moving with a constant velocity.

We need to find the net force acting on the box. Constant velocity means the change in velocity is equal to 0. It means acceleration will be 0.

As a result, the force acting on the box is equal to 0.

an unladen swallow flies 5 m/s how far has the bird traveled after 1 minute?

Answers

Answer: 300m

1 minute = 60s

the unladen swallow can fly: 60.5 = 300 (m)

Explanation:

Flying 5 m/s is the same as 300 m/minute. Therefore, it is 300 meters.

two asteroids crashed the crash caused both asteroids to change speeds scientist want to use the change

Answers

Answer:

The force each one experienced

Explanation:

Hope this helps :)

Number 1a and b and number 2(everything)

Answers

Answer:

Explanation:

The density of a substance is the ratio of its mass to its volume. Its unit of measurement is kg[tex]m^{-3}[/tex].

i.e density, ρ = [tex]\frac{mass}{volume}[/tex]

1a. To determine the density of the acetic acid, Rachael needs to know the mass and volume of the acid.

i. Measure the mass of the given beaker using the mass balance.

ii. Transfer the acetic acid into the beaker, and measure the new mass using the mass balance.

iii. Subtract the mass of the beaker from the new mass to determine the mass of the acetic acid.

iv. Measure the volume of the acid on the scale of the beaker.

v. Divide the value of the mass by its volume to determine its density of the acetic acid.

b. Given that the density is 1.05 g/[tex]cm^{3}[/tex], and volume is 200 [tex]cm^{3}[/tex].

Then,

density = [tex]\frac{mass}{volume}[/tex]

1.05 = [tex]\frac{mass}{200}[/tex]

mass = 1.05 x 200

         = 210 g

mass = 210 g

2. Length of titanium = 0.40 m

   Area of titanium = 0.05 [tex]m^{2}[/tex]

mass = 90.0 kg

density = [tex]\frac{mass}{volume}[/tex]

But,

volume = area x length

            = 0.05 x 0.4

           = 0.02 [tex]m^{3}[/tex]

density of titanium = [tex]\frac{90}{0.02}[/tex]

                = 4500 kg[tex]m^{-3}[/tex]

What is food called when it enters the pharynx?

A.Bile
B.bolus
C. Food
D. Feces

Answers

Answer:

its food this was easy

Which of the following is true for valence electrons?
Valence electrons are always located in the outer most energy level.
Valence electrons are found only in radioactive isotopes.
Valence electrons are always located in the innermost energy level
Valence electrons are found only in negatively charged ions.

Answers

Answer:

Valence electrons are always located in the outer most energy level.

Explanation:

Valence electrons are the ones that are involved in chemical bonds. In order to take part in a chemical bonding, the outermost/valence electron needs to be involved. Thus, the answer is Valence electrons are always located in the outer most energy level.

Suppose three forces are acting on a model rocket launching into the air. The force of gravity is 1.2 N acting downward. The rocket engine has a force of 12.3 N acting at an angle of 65⁰ above the horizontal to the right. The wind pushes the rocket with a force of 2.5 N to the left. Find the magnitude and direction of the resultant force on the rocket.

Please answer!!! Offering 50 points for answer and explanation

Answers

Answer:

can you include a picture

Decompose the forces acting on the rocket in horizontal and vertical components.

• net horizontal force:

F = (12.3 N) cos(65°) - 2.5 N ≈ 2.7 N

(notice we're taking "to the right" to be the positive direction)

• net vertical force:

F = (12.3 N) sin(65°) - 1.2 N ≈ 9.9 N

The resultant force then has magnitude

√((2.7 N)² + (9.9 N)²) ≈ 10.3 N

Since the horizontal and vertical components of the resultant are both positive, it points at an angle between 0° and 90° from the positive horizontal, so that

tan(θ) ≈ (9.9 N) / (2.7 N) ≈ 3.69

===>   θ ≈ arctan(3.69) ≈ 75°

how many minutes in 1 hour

Answers

Answer:

60

Explanation:

Every 60 minutes is an hour

Answer:

60; minute in 1 HR is the answer

Which statement accurately describes thermal energy?


Answers

Answer:

here are the options.

Answer:

the energy that is associated with temperature or D

Explanation:

Hope this helps

a steel girder weighting 700 lb is hoisted from gund level to the roof of a 70-ft building using a chain that weighs 4lb/running foot. Find the work done

Answers

Answer:

66.475kJ

Explanation:

Work done is the product of the force and perpendicular distance in direction of the force.

Work done = Force × distance

Given

Weight = 700lb

Distance = 70ft

1lb force = 4.448N

700lb force = 700(4.448) = 3113.6N

Distance = 70(0.305) = 21.35m

Work done = 3113.6×21.35

Work done ≈ 66,475Joules

Work done = 66.475kJ

g During the contraction of the heart, 65 cm3 blood is ejected from the left ventricle into the aorta with a velocity of approximately 98 cm/s. The blood volume traverses the aortic arch, exiting with the same speed but opposite direction. Assume the mass density of the blood is 1060 kg/m3 blood, the aortic arch remains stationary, and that the heart rate is 61 bpm. What is the average force exerted by the blood on the wall of the aorta.

Answers

Answer:

The force is [tex]F = 0.1441 \ N[/tex]

Explanation:

From the question we are told that

   The volume of blood ejected is  [tex]V_b = 65cm^3 = 65*10^{-6} \ m^3[/tex]

    The velocity of the ejected blood is  [tex]v = 98 cm/ s = 0.98 \ m/s[/tex]

    The mass density of blood is  [tex]\rho = 1060 \ kg/m^3[/tex]

    The heart rate is  [tex]R = 61 bpm(beats \ per \ miunite) = \frac{61}{60} = 1.0667\ bps[/tex]

Generally the average force exerted is mathematically represented as

     [tex]F = 2 * \rho * V_b * R * v[/tex]

=>   [tex]F = 2 * 1060 * (65*10^{-6}) *1.0667 * 0.98[/tex]

=>   [tex]F = 0.1441 \ N[/tex]    

In the formulas for latent heat of fusion and latent heat of vaporization, what does Q represent?

Answers

Answer:

Q is the amount of energy released or absorbed during the change of phase of the substance (in kJ or in BTU), m is the mass of the substance (in kg or in lb), and. L is the specific latent heat for a particular substance (kJ kg−1 or in BTU lb−1), either Lf for fusion, or Lv for vaporization.

I hope this helps∪ω∪

Answer:

A

Explanation:

giving brainiest to correct answer.
Imagine a 0.2 kg ball moving at 5 m/s colliding with a 0.3 kg ball moving at 2 m/s in the same direction. After the collision the 0.2 kg green ball stops moving and the 0.3 kg purple ball continues moving in the same direction.
giving brainiest to correct answer.

Answers

Answer:

[tex]5.33\ m/s[/tex]

Explanation:

[tex]We\ know\ that,\\Momentum=Mass*Velocity\\p=mv\\Hence,\\Lets\ first\ consider\ the\ case\ of\ the\ two\ balls\ 'Before\ Collision':\\\\Mass\ of\ the\ green\ ball=0.2\ kg\\Initial\ Velocity\ of\ the\ green\ ball=5\ m/s\\Initial\ Momentum\ of\ the\ green\ ball=5*0.2=1\ kg\ m/s\\\\Mass\ of\ the\ pink\ ball=0.3\ kg\\Initial\ Velocity\ of\ the\ pink\ ball=2\ m/s\\Initial\ Momentum\ of\ the\ pink\ ball=0.3*2=0.6\ kg\ m/s\\\\Total\ momentum\ of\ both\ the\ balls\ 'Before\ Collision'=1+0.6=1.6\ kg\ m/s[/tex]

[tex]Hence,\\Lets\ now\ consider\ the\ case\ of\ the\ two\ balls\ 'After\ Collision':\\\\Mass\ of\ the\ green\ ball=0.2\ kg\\Final\ Velocity\ of\ the\ green\ ball=0\ m/s\\Final\ Momentum\ of\ the\ green\ ball=0\ kg\ m/s\\\\Mass\ of\ the\ pink\ ball=0.3\ kg\\Final\ Velocity\ of\ the\ pink\ ball=v\ m/s\\Final\ Momentum\ of\ the\ pink\ ball=0.3*v=0.3v\ kg\ m/s\\\\Total\ momentum\ of\ both\ the\ balls\ 'After\ Collision'=0+0.3v=0.3v\ kg\ m/s[/tex]

[tex]As\ we\ know\ that,\\Through\ the\ law\ of\ conservation\ of\ momentum,\\In\ an\ isolated\ system:\\Total\ Momentum\ Before\ Collision=Total\ Momentum\ After\ Collision\\Hence,\\1.6=0.3v\\v=\frac{1.6}{0.3}=5.33\ m/s[/tex]

Helppppp meeee plssss ASAP
Suppose the atoms of two different nonmetal elements bonded. What type of
substance would most likely form?
A. A metalloid
B. An ionic compound
C. A covalent compound
D. A third element

Answers

Answer:

C

Explanation:

covalent. Hope that helps!

A block that slides on a rough surface slows down and eventually stops. The reverse process never occurs. That is, a block at rest never begins to move and accelerate on a rough surface without the action of an external agent. The second situation is forbidden because it would violate:_________.
a) conservation of total energy
b) conservation of momentum
c) the first law of thermodynamics
d) the second law of thermodynamics
e) both the first and second law of thermodynamics
Gracias.

Answers

Answer:

d) the second law of thermodynamics

Explanation:

Here we take an example

The entropy represents a measurement of the energy dispersal in the system. Also, the campfire would an entropy example. The burning of the solid wood and then it became the ash, smoke and gases this all would be spread the energy to the outward as compared to the solid fuel

Therefore as per the given statement, the correct option is d.

CUP 6. A wire has a diameter of 0.032 inches. The AWG rating of this wire is most likely to be O A. 20 O B. 14. O C. 12. O D. 18.​

Answers

Answer:

A. 20

Explanation:

The AWG rating of the wire can be determined by applying the formula;

[tex]d_{i}[/tex] = 0.005 x [tex]92^{\frac{(36 - s)}{39}} }[/tex]

where [tex]d_{i}[/tex] is the diameter of wire in inches, and s is the diameter of wire in AWG.

Given that [tex]d_{i}[/tex] = 0.032 inches, then;

0.032 = 0.005 x [tex]92^{\frac{(36 - s)}{39}} }[/tex]

[tex]\frac{0.032}{0.005}[/tex] =  [tex]92^{\frac{(36 - s)}{39}} }[/tex]

6.4 = [tex]92^{\frac{(36 - s)}{39}} }[/tex]

Find the log of both sides to have,

log 6.4 = log [tex]92^{\frac{(36 - s)}{39}} }[/tex]

log 6.4 = [tex](\frac{36 -s}{39})[/tex] log 92

[tex]\frac{log 6.4}{log92}[/tex] = [tex](\frac{36 -s}{39})[/tex]

0.410523 = [tex](\frac{36 -s}{39})[/tex]

36 - s = 0.410523 x 39

         = 16.0104

⇒ s = 36 - 16.0104

      = 19.9896

s = 20

Therefore, the AWG of the wire is 20.

Assume that, when we walk, in addition to a fluctuating vertical force, we exert a periodic lateral force of amplitude 25 NN at a frequency of about 1 HzHz. Given that the mass of the bridge is about 2000 kgkg per linear meter, how many people were walking along the 144-mm-long central span of the bridge at one time, when an oscillation amplitude of 75 mmmm was observed in that section of the bridge

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Explanation:

From the question we are told

   The amplitude of the lateral  force is  [tex]F = 25 \ N[/tex]

   The frequency is   [tex]f = 1 \ Hz[/tex]

   The mass of the bridge per unit length is  [tex]\mu = 2000 \ kg /m[/tex]

    The length of the central span is  [tex]d = 144 m[/tex]

     The oscillation amplitude of the section  considered at the time considered is  [tex]A = 75 \ mm = 0.075 \ m[/tex]

      The time taken for the undriven oscillation to decay to [tex]\frac{1}{e}[/tex]  of its original value is  t = 6T

Generally the mass of the section considered is mathematically represented as

            [tex]m = \mu * d[/tex]

=>        [tex]m = 2000 * 144[/tex]

=>        [tex]m = 288000 \ kg[/tex]

Generally the oscillation amplitude of the section after a  time period  t is mathematically represented as

                 [tex]A(t) = A_o e^{-\frac{bt}{2m} }[/tex]

Here b is the damping constant and the [tex]A_o[/tex] is the amplitude of the section when it was undriven

So from the question  

               [tex]\frac{A_o}{e} = A_o e^{-\frac{b6T}{2m} }[/tex]

=>            [tex]\frac{1}{e} =e^{-\frac{b6T}{2m} }[/tex]

=>          [tex]e^{-1} =e^{-\frac{b6T}{2m} }[/tex]

=>           [tex]-\frac{3T b}{m} = -1[/tex]

=>         [tex]b = \frac{m}{3T}[/tex]

Generally the amplitude of the section considered is mathematically represented as

           [tex]A = \frac{n * F }{ b * 2 \pi }[/tex]

=>       [tex]A = \frac{n * F }{ \frac{m}{3T} * 2 \pi }[/tex]

=>       [tex]n = A * \frac{m}{3} * \frac{2\pi}{25}[/tex]

=>       [tex]n = 0.075 * \frac{288000}{3} * \frac{2* 3.142 }{25}[/tex]

=>       [tex]n = 1810 \ people[/tex]

Just do the attachment

Answers

Answer: your answer is B I know that's what you picked but I believe it is correct! look below...

Explanation: A solution is made when one substance called the solute "dissolves" into another substance called the solvent. Dissolving is when the solute breaks up from a larger crystal of molecules into much smaller groups or individual molecules.

In order to form a solution, the solute must be surrounded, or solvated, by the solvent. Solutes successfully dissolve into solvents when solute-solvent bonds are stronger than either solute-solute bonds or solvent-solvent bonds.

BRAINLIEST?

The answer to that question is B.

What effect does atmospheric pressure have on density?

Answers

Answer:sometimes it commits to how it will happen

Explanation:

Answer:

Atmospheric pressure increases density

Explanation:

Atmospheric pressure decreases the volume of space, since volume is inversely proportional to density, density will increase.

The two images show side views of ocean waves. How are the two sets of waves different?

Answers

Where are the waves?

A satellite orbits the Earth (mass = 5.98 x 1024 kg) once every = 43200 s. At what radius does the satellite orbit?

Answers

Answer:

26621 km

Explanation:

We are given;

Mass: m = 5.98 x 10^(24) kg

Period; T = 43200 s

Formula for The velocity(v) of the satellite is:

v = 2πR/T

Where R is the radius

Formula for centripetal acceleration is;

a_c = v²/R

Thus; a_c = (2πR/T)²/R = 4π²R/T²

Formula for gravitational acceleration is:

a_g = Gm/R²

Where G is gravitational constant = 6.674 × 10^(-11) m³/kg.s²

Now the centripetal acceleration of the satellite is caused by its gravitational acceleration. Thus;

Centripetal acceleration = gravitational acceleration.

Thus;

4π²R/T² = Gm/R²

Making R the subject gives;

R = ∛(GmT²/4π²)

Plugging in the relevant values;

R = ∛((6.674 × 10^(-11) × 5.98 x 10^(24) × 43200²)/(4 × π²))

R = 26.621 × 10^(6) m

Converting to km, we have;

R = 26621 km

Answer:

2.66 *10^7

Explanation:

Sorry I don't know the process if you were interested in that :/

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