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.
A. 5.24 m/s
B. 6.23 m/s
C. 7.45 m/s
D. 8.01 m/s

Answers

Answer 1

Answer:

v = 5.24 m/s

Explanation:

Given that,

No of spokes of a Ferris wheel = 60

The diameter of a wheel, d = 100 m

Radius, r = 50 m

It makes one rotation every 60 seconds.

We need to find the speed of the passengers when the Ferris wheel is rotating at this rate. Let it is v. It can be calculated as follows :

[tex]v=r\omega\\\\=\dfrac{2\pi r }{T}\\\\=\dfrac{2\pi \times 50 }{60}\\\\v=5.235\ m/s[/tex]

or

v = 5.24 m/s

So, the speed of the passengers is 5.24 m/s. Hence, the correct option is (A).


Related Questions

A rocket traveling at 36.96 m/s is accelerated uniformly to 74.44 m/s over a 21.37 s interval. What is its displacement during this time?

Answers

Answer:

s = 1190.3 m = 1.19 km

Explanation:

First we find the acceleration by using first equation of motion:

Vf = Vi + at

where,

Vf = Final Velocity = 74.44 m/s

Vi = Initial Velocity = 36.96 m/s

a = acceleration = ?

t = time = 21.37 s

Therefore,

74.44 m/s = 36.96 m/s + a(21.37 s)

a = (74.44 m/s - 36.96 m/s)/21.37 s

a = 1.75 m/s²

Now, we use 2nd equation of motion to find distance covered (s):

s = Vi t + (1/2)at²

s = (36.96 m/s)(21.37 s) + (1/2)(1.75 m/s²)(21.37 s)²

s = 789.83 m + 400.47 m

s = 1190.3 m = 1.19 km

The radius of the earth’s orbit is r = 1.5 × 1011 m and its orbital period is T = 365.3 days. What is the radial acceleration (in m/s2) of the earth toward the sun, assuming a circular orbit?

A. 5.91 × 10−3 m/s2
B. 3.23 × 10−3 m/s2
C. 7.23 × 10−4 m/s2
D. 5.91 × 10−2 m/s2

Answers

The radial acceleration of a body a distance R from the center of a circular path and with period T has magnitude a such that

a = 4 π ² R / T ²

The given period is

T = 365.3 days ≈ 3.156 x 10⁷ s

(i.e. multiply the number of days by 24 hours/day and 3600 seconds/hour)

So the Earth's radial acceleration is

a = 4 π ² (1.5 x 10¹¹ m) / (3.156 x 10⁷ s)²

a ≈ 0.0059 m/s²

What is magnet made of

Answers

Answer:

metals like iron or nickel

Explanation:

A cow is given a growth hormone and then compared to another cow that was not given a growth hormone. Both cows were weighed at 2 years.

Answers

The complete question is as follows:

A cow is given a growth hormone  and then compared to another cow that  was not given a growth hormone. Both  cows were weighed at 2 years. What is the independent variable?

if the cow is given growth hormone or not  

weight of the cow

same cows  

type of growth hormone

Answer:

The correct answer is - if the cow is given growth hormone or no

Explanation:

The independent variable is here is if the growth hormone is given or not as the variable which is subject to change or manipulated during an investigation and affects the dependent variable is known as the independent variable.

Due to this independent variable manipulation the weight of the cows might be different which makes the weights as the dependent variable.

experiment to show that light travels in a straight line​

Answers

The answer here
Two experiments are used to demonstrate how light travels in straight lines. In the first example, the presenter arranges three pieces of card, with holes in, in an uneven line. The light stops and cannot travel through all three cards. When she arranges the holes in a straight line, the light can travel through.

When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be:______.A) 18 A.
B) 2/3 A.
C) 3 A.
D) 2/9 A.
E) 2 A.

Answers

Answer:

sorry I wish I could it help you

Which is the BEST example of selective attention?

Answers

Answer:

Examples include listening carefully to what someone is saying while ignoring other conversations in a room (the cocktail party effect) or listening to a cell phone conversation while driving a car. Attention is one of the most intensely studied topics within psychology and cognitive neuroscience.

A jet airplane with a 75.0 m wingspan is flying at 260 m/s. What emf is induced between the wing tips in V if the vertical component of the Earth’s magnetic field is 3.00 × 10-5 T?

Answers

Answer:

0.585V

Explanation:

Given that:

B = 3.00 × 10-5 T

l = 75.0 m

v = 260 m/s

From Blv = emf between the wing tips

= 3.00 × 10-5 T × 75×260

= 117/200

= 0.585V

Hence, the emf between the wing tips is 0.585V

A car slows from 37.3 m/s to 8.8 m/s with a constant acceleration of -3.3 m/s2. How long in seconds does it require?

Answers

Answer:

The time it takes the car to stop is 8.64 s.

Explanation:

Given;

initial velocity of the car, u = 37.3 m/s

final velocity of the car, v = 8.8 m/s

constant acceleration of the car, a = -3.3 m/s²

The time it takes the car to stop is given by;

[tex]t = \frac{v-u}{a}[/tex]

Substitute the givens;

[tex]t = \frac{v-u}{a}\\\\t = \frac{8.8-37.3}{-3.3}\\\\t = 8.64 \ s[/tex]

Therefore, the time it takes the car to stop is 8.64 s.

Light passes through a 0.15 mm-wide slit and forms a diffraction pattern on a screen 1.25 m behind the slit. The width of the central maximum is 0.75 cm. What is the wavelength of the light?

a. 400nm
b. 450nm
c. 510nm
d. 600nm

Answers

Answer:

b. 450 nm

Explanation:

The wavelength of light can be calculated by using the formula derived in Young's double slit experiment. The formula is as follows:

Δx = λL/d

Δx/2 = λL/2d

where,

Δx/2 = half distance between consecutive dark fringes = width of central maximum = 0.75 cm = 0.0075 m

λ =  wavelength of light = ?

L = Distance of Screen = 1.25 m

d = width of slit = 0.15 mm = 0.00015 m

Therefore,

0.0075 m = λ(1.25 m)/(0.00015 m)

λ = (0.0075 m)(0.00015 m)/2(1.25 m)

λ = 4.5 x 10⁻⁷ m = 450 nm

Thus, the correct option is:

b. 450 nm

what is the speed of rocket that travels 9km in 10 seconds​

Answers

Answer:

900

Explanation:

v = s / t = 9000m / 10 s = 900m/s

plz mark Brainliest

Answer:

3240km/h. or, 900m/s.

Explanation:

plz mark mine as brainliest. i gave both.

The power of the situation represents

minority influence.
role expectations.
personal control.
social control

Answers

I think the answer is c but I'm not sure

PLEASE HELP


What are the most common limiting factors in a cloud forest ecosystem?


What are the most common limiting factors in a coral reef ecosystem?


What are the most common limiting factors in a desert ecosystem?


What is an abiotic infectious agent?


Name five types of bacteria.

Answers

1.) cloud-forest ecosystem consists of all the organisms that live there plus the air, water, and nutrients they use.

2.) Oxygen- is need in this part of the biome because it is one of the main essentials for life.

Water- which is also required and that no organisms can't survive without water.
Carbon dioxide- is taken by the underwater plants during photosynthesis.

Sand -is a loose rocky substance that is found on both land and water.

3.) low rainfall, intense sunlight and heat, sandstorms, wide temperature range, mirages

4.) bacteria

5.) nitrospirae, spirochaetes, chlamydiae, aquificae, coccus

A projector lens projects an image from a 6.35 cm wide LCD screen onto a
screen 3.25 m wide. If the focal length of the projector lens is 13.8 cm, the screen
must be how far from the projector

Answers

Answer:

For any given projector, the width of the image (W) relative to the throw distance (D) is know as the throw ratio D/W or distance over width. So for example, the most common projector throw ratio is 2.0. This means that for each foot of image width, the projector needs to be 2 feet away or D/W = 2/1 = 2.0.

What did Isaac Newton’s investigation if the gravity explain ?

Answers

Answer:

Gravity acts on all objects in the universe.

Explanation:

write an email to your friend about your
preparation for the upcoming exam

Answers

Answer:

You will be very glad to know that my preparation for HSC examination is very good. I have prepared myself for the HSC Examination 2015. I am confident that I will obtain very good marks in the examination. I have revised them several times and I am hopeful of obtaining distinction marks in all the subjects.

Explanation:

This is from Brainly hope this person helped you

Climate is the day-to day condition of an area including temperature, pressure, and precipitation. Weather is the usual pattern of temperature, pressure, and precipitation pf an area over time. True or False

Answers

Answer:

False

Explanation:

Weather is the day-to day condition of an area including temperature, pressure, and precipitation. Climate is the usual pattern of temperature, pressure, and precipitation pf an area over time.

It is true that the climate is the day-to day condition of an area including temperature, pressure, and precipitation. Weather is the usual pattern of temperature, pressure, and precipitation pf an area over time.

What is the relation between climate and weather?

The weather is the current state of the atmosphere for a particular place and at a definite or short period of time. The atmospheric conditions which are considered are temperature, cloudiness, dryness, humidity, rain, sunshine and wind.

The climate is the atmospheric conditions of a particular place over a long time period.

It is the condition of the Earth and the atmosphere which tells us about the extent at either it is hot or cold, wet or dry, or it can be calm or stormy type. Basically the weather changes and happened at the least level of the atmosphere and the layer is known to be the troposphere that is found just below the stratosphere. Troposphere is the layer present in the most lower level forming the Earth's atmosphere. In this layer of has 75% mass out of atmospheric mass and 99% of the total mass of water vapor.

So, the given statement is true.

To know more about weather and climate,

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Which of the following would probably need the greatest force to overcome its inertia?
option 1 a tennis ball 2 a sports ar 3 a dump truck and four a bicycle

Answers

Answer:

A dump truck.

Explanation:

Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.

In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.

Mathematically, it is given by the formula;

[tex] F = ma[/tex]

Where;

F represents force measured in Newton.m represents the mass of an object measured in kilograms.a represents acceleration measured in meter per seconds square.

The inertia of an object such as a tractor trailer rig is greatly dependent or influenced by its mass; the higher quantity of matter in a dump truck, the greater will be its tendency to continuously remain at rest.

Hence, a dump truck would probably need the greatest force to overcome its inertia because it has more mass than all the other objects in the category. Also, the mass of an object is directly proportional to its inertia, as well as the force applied.

Answer:As one of Newton's Laws of Gravitational force The answer would Be a dump truck because it includes one of Newton's Laws of Gravitational force in the abstract Laws of gravity.

A racecar accelerates from rest at 6.5 m/s2 for 4.1 s. How fast will it be going at the end of that time?

Answers

Answer:

The final velocity of the car is 26.65 m/s.

Explanation:

Given;

acceleration of the racecar, a = 6.5 m/s²

initial velocity of the car, u = 0

time of motion, t = 4.1 s

The final velocity of the car is given by;

v = u + at

where;

v is the final velocity of the car

suvstitute the givens

v = 0 + (6.5)(4.1)

v = 26.65 m/s.

Therefore, the final velocity of the car is 26.65 m/s.

Does anyone skateboard still?

Answers

Answer:

yes

Explanation:

people still skateboard that is an easy question

A car travels 23.0 m/s for 1.0 hours and then accelerates for 30.0 seconds to reach 40.0 m/s.  What was the total distance traveled by this car

Answers

Answer:

s = 83.85 km

Explanation:

First we calculate the distance covered by car, while traveling at constant speed:

s₁ = v₁t₁

where,

s₁ = distance covered at constant speed = ?

v₁ = constant speed = 23 m/s

t₁ = time of travel at constant speed = 1 hr = 3600 s

Therefore,

s₁ = (23 m/s)(3600 s)

s₁ = 82800 m = 82.8 km

Now, we calculate the distance travelled in accelerated motion. First we use 1st equation of motion to find acceleration:

Vf = Vi + at₂

where,

Vf = Final velocity = 40 m/s

Vi = Initial Velocity = 30 m/s

a = acceleration = ?

t₂ = time = 30 s

Therefore,

40 m/s = 30 m/s + a(30 s)

a = 10 m/s/30 s

a = 0.33 m/s²

Now, we use 2nd equation of motion for distance:

s₂ = Vi t₂ + (1/2)at₂²

s₂ = (30 m/s)(30 s) + (1/2)(0.33 m/s²)(30 s)²

s₂ = 900 m + 150 m

s₂ = 1050 m = 1.05 km

So, the total distance covered was:

s = s₁ + s₂

s = 82.8 km + 1.05 km

s = 83.85 km

A rolling ball moves from x1 = 8.0 cm to x2 = -4.1 cm during the time from t1 = 2.9 s to t2 = 6.0 s .

Answers

Complete Question

A rolling ball moves from [tex]x_1 = 8.0 \ cm[/tex] to [tex]x_2 = - 4.1 \ cm[/tex] during the time from [tex]t_1 = 2.9 s[/tex]  to  [tex]t_2 = 6.0s[/tex]

What is its average velocity over this time interval?

Answer:

The velocity is  [tex]v = 3.903 \ m/s[/tex]

Explanation:

From the question we are told that

    The first position of the ball is  [tex]x_1 = 8.0 \ cm[/tex]

    The second position of the ball is  [tex]x_2 = - 4.1 \ cm[/tex]

Generally the average velocity is mathematically represented as

       [tex]v = \frac{ x_1 - x_2}{t_2 - t_1}[/tex]

=>    [tex]v = \frac{ 8 - -4.1 }{ 6 - 2.9 }[/tex]

=>    [tex]v = 3.903 \ m/s[/tex]

What is the result of increasing the speed at which a magnet moves in and
out of a wire coil?
O A. The current in the wire increases.
B. The magnetic field around the magnet decreases.
C. The current in the wire decreases.
O D. The magnetic field around the magnet increases.

Answers

Answer:

Explanatio

Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced. 3)n:

List at least 4 aspects to evaluate the quality of an internet site

Answers

Answer:

authority, accuracy, objectivity, currency, coverage, and appearance.

Explanation:

There are six (6) criteria that should be applied when evaluating any Web site. or each criterion, there are several questions to be asked. The more questions you can answer "yes", the more likely the Web site is one of quality.

authority, accuracy, objectivity, currency, coverage, and appearance

What is the similarity between relative dating and radioactive dating? I will mark brainlest. I dont know how btw

Answers

Answer:

relative dating and radioactive dating are two methods in archeaology to determine the age of fossils and rocks

Explanation:

the act of or study of fossils is important for the determination of the kind of organism it represents how the organism lived and how it was preserved on the Earth’s surface over the past 4600000000 years

A wagon with a weight of 300 N is accelerated across a level surface at 0.5 m/s2. What net force acts on the wagon?
9.0 N
15 N
150 N
610 N

Answers

Answer:

F = 15.29[m/s²].

Explanation:

To solve this problem we must use Newton's second law which tells us that the force is equal to the product of mass by acceleration.

ΣF =m*a

where:

m = mass [kg]

a = acceleration = 0.5 [m/s²]

Therefore we must find first the mass.

[tex]W =m*g\\m=W/g\\m = 300/9.81\\m = 30.58 [kg][/tex]

Now replacing in Newton's second law.

[tex]F = m*a\\F = 30.58*0.5\\F=15.29[m/s^{2}][/tex]

(b) In the USA, drones are not allowed to be flown too high above the ground.

Suggest one possible risk of flying a drone too high above the ground.




Plz complete thank you in advance

Answers

One possible risk is it could effect planes, radars, weather patterns.

The 400-foot altitude limit was put in place for the sake of airspace safety, and there is a risk to country security as well as the privacy of citizens.

What are drones?

Unmanned aerial vehicles (UAVs), sometimes known as drones, are used for a variety of jobs, from routine to extremely dangerous. These robotic-looking planes can be seen practically everywhere, from delivering groceries to your home to rescuing avalanche victims.

The 400-foot altitude restriction was ultimately implemented for airspace safety. Given the breadth of the airspace above 400 feet, the likelihood of a drone colliding with a human aircraft is exceedingly remote, but the consequences might be disastrous.

Any aerial vehicle that uses software to fly autonomously or that may be controlled remotely by a pilot is referred to as a drone. Numerous drones come equipped with cameras to gather visual data and propellers to stabilize flying paths. Drone technology has been incorporated into industries like videography, search and rescue, agriculture, and transportation.

When in uncontrolled (Class G) airspace, your drone must be flown 400 feet above the ground or less.

To know more about drones:

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PLEASEEE HELPPPPP does anyone know these answers?

Answers

Answer:

oof ok

Explanation:

Thank you :)

Sandra pays $11 for 2.75 pounds of cheese. What is the cost per pound?
$0.40
x
$0.44
$4.00
$4.40
Hi

Answers

Answer:

$4.00

Explanation:

The cost per pound is $4.00, $11 divided by 2.75 is 4.

Answer:

Th cost per pound is $4.00.

Explanation:

11/2.75= 4

A vehicle travels with an average speed of sav = 15 mi/hr.

Answers

Put more points and I’ll answer
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