A merry-go-round of radius 2 m is rotating at one revolution every 5 s. A
child is located at 1 m from the axis. A teenager is located at 2 m from the
axis.
What is the angular speed of the child?
What is the angular speed of the teenager?
What is tangential speed of the child?
What is the tangential speed of the teenager?

Answers

Answer 1

Answer:

a) The angular speed of the child is approximately 1.257 rad/s

b) The angular speed of the teenager is approximately 1.257 rad/s

c) The tangential speed of the child is approximately 1.257 m/s

d) For the child, r = 2 m

The tangential speed of the teenager is approximately 2.513 m/s

Explanation:

The revolutions per minute, r.p.m. of the merry-go-round = 1 revolution/(5 s)

The radius of the merry-go-round = 2 m

The location of the child = 1 m from the axis

The location of the teenager = 2 m from the axis

1 revolution = 2·π radians

Therefore, we have;

The angular speed, ω = (Angle turned)/(Time elapsed) = (2·π radians)/(5 s)

∴ The angular speed of the merry-go-round, ω = 2·π/5 radians/second

a) The angular speed of the child = The angular speed of the merry-go-round = 2·π/5 radians/second ≈ 1.257 rad/s

b) The angular speed of the teenager = The angular speed of the merry-go-round = 2·π/5 radians/second ≈ 1.257 rad/s

c) The tangential speed, v = r × The angular speed, ω

Where;

r = The radius of rotation of the object

For the child, r = 1 m

The tangential speed of the child = 1 m × 2·π/5 radians/second = 2·π/5 m/s ≈ 1.257 m/s

d) For the child, r = 2 m

The tangential speed of the teenager = 2 m × 2·π/5 radians/second = 4·π/5 m/s ≈ 2.513 m/s


Related Questions

1. How does speed affect the amount of kinetic energy in a moving object? Explain how you
know by stating your claim, the evidence for your claim, and your reason why this evidence
supports your claim.

I’ll mark as brainliest

Answers

Explanation:

The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity. This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.

The histogram shows final exam scores, and the table shows letter grades for each range of scores. A passing grade is 60% or higher.
A 90–100%
B 80–90%
C 70–80%
D 60–70%
Which statement is supported by the data in the histogram?
A. Twenty students received As and Bs.
B. Forty students received scores between 40% and 60%.
C. Most students received As and Bs.
D. Most students passed the final exam.

Answers

Answer:

D

Explanation:

Edg2020

A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free-body diagram is shown. What is the net force in the x-direction?

Answers

the net force is 34 N

What property of light waves makes it possible to use waves to transmit information between a space shuttle and NASA mission control centers on the ground?

Answers

Answer:

Explanation: Because it was able to exhibit an electromagnetic property hence, it is transverse meaning that

each wave is perpendicular to the direction of propagation.

And recall that an Electromagnetic waves can travel through a vacuum.

Ms. Lachance has to pick up her daughter from the airport and is running late. As she pulls her car out of the driveway and starts to drive down the road, she takes off as fast as her car will go. When she does this her coffee cup, which she left on the hood by accident flies into the windshield making it hard for her to see. Using Newton’s first law, explain why the coffee spilt all over the windshield.

Answers

Answer:

the gravity was pulling the cup to the front of the window even though the wind was pushing it the other way.

Explanation: the gravity must be strong

By using the Newton's first law of Motion, it can be explained why the coffee spilt all over the windshield. This is because there is gravitational force which acts upon it and it pushes the substances in the downward direction towards the Earth.

What is Newton's first law of motion?

Newton's first law of Motion states that a body remains in the same state of rest or uniform motion in a straight line unless and until an external force is applied on it. This means that a body will not start moving by itself until and unless an external force acts on it.

In this case, lachance's daughter is trying to pick her coffee cup, the coffee cup at the windshield is spilt which makes it difficult for her to see. This is because, there is the gravitational force or gravity which is pulling the coffee cup to the front of the window even though the wind was pushing it in the other way.

Learn More about Newton's law here:

https://brainly.com/question/15280051

#SPJ5

How do latitude and proximity to bodies of water relate to the temperature?

Answers

Answer:

The answer is below.

Explanation:

According to geographical coordinates and related information, when the latitude is lower, that is closer to the equator the temperature becomes warmer. While the far away from the equator the latitude is the temperature decreases.

Similarly, the water bodies have a relative effect that is considered little or less severe on the temperature throughout any of the seasonal period or day and night.

When will the human population stop growing?

Answers

i think it’s when the sun explodes because since we need to the sun I think the human population will fall out. also a huge war, a meteoroid huge as the one that killed the dinosaurs comes down, there is so much ways on how the human population can stop growing. hope this help at least!
There’s many probabilities maybe like yk corona and stuff maybe with the vaccines it’ll turn to natural selection and people would be scared of having kids. Like the other person said when there’s no more sun because we could die off because it’s too cold. Maybe once there is no more plants because they are very vital to our daily lives.

Which of the following are true of the temperature absolute zero? (Select all that apply)
Group of answer choices
All atoms and molecules stop moving
It is equal to 0 Kelvin
All matter becomes gas
It is equal to -273 Celsius

Answers

Answer:

1 and 2

Explanation:

Answer:

Explanation:

Answer:

I have

Step-by-step explanation:

No idea i just need points sorry wyatt

The greenhouse effect is when the sun's heat is trapped in the atmosphere warming the earth. True or false

Answers

Answer:

True

Explanation:

I believe the answer is true.

The Answer is True :)


(b) Pressure P
Pressure
= Force
Area
(c) Work Done, W
work done forex
displacement
ICS​

Answers

Answer:

ed

Explanation:

In which type of mixture can different parts be seen?

A.) heterogeneous

B.) molecular

C.) compound

D.) homogeneous

Answers

it’s A...............

Which of the following equations describes how voltage (V), current (I), and
resistance (R) are related?
A. V= IR
B. R= I/ V
C. R= VI
D. V= I/ R

Answers

Answer:The answer is B: RI/V

Explanation: Because V is divided by I and multiplied by R

Suppose a woman raises a 65 N object in 2m in 4 seconds.
Calculate the work is done and her power.


Science

Answers

Answer:

[tex]\huge\boxed{\sf P.E = 130\ Joules}[/tex]

[tex]\huge\boxed{\sf P = 32.5\ Watts}[/tex]

Explanation:

Given Data:

Weight = W = 65 N

Height = h = 2 m

Time = t = 4 secs

Required:

Power = P = ?

Work Done in the form of Potential Energy = P.E. = ?

Formula:

P.E. = Wh

P = P.E. / t

Solution:

P.E. = (65)(2)

P.E = 130 Joules

P = P.E. / t

P = 130 / 4

P = 32.5 Watts

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Nuclear energy is currently used in which three kinds of vehicles?

A. cars, submarines, spacecraft
B. submarines, ships, spacecraft
C. spacecraft, airplanes, cars
D. airplanes, submarines, ships

Answers

Its d. Airplanes, submarines, ships

Answer:

d

Explanation:

5.
A badminton shuttlecock leaves the racquet traveling 30 m/s. It goes over the net 0.5
seconds later with a speed of 10 m/s. Calculate its average acceleration.

Answers

Answer:

[tex]a=40\ m/s^2[/tex]

Explanation:

Given that,

Initial speed of a shuttlecock, u = 30 m/s

Final speed of the shuttlecock, v = 10 m/s

Time, t = 0.5 s

We need to find its average acceleration. The acceleration of an object is equal to the change in speed divided by time taken. It is given by :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{10-30}{0.5}\\\\a=-40\ m/s^2[/tex]

So, the average acceleration of badminton shuttlecock is [tex]40\ m/s^2[/tex].

can someone Please help

Answers

Answer:

22. 2 sec

23. 3 sec

24. 50 sec

Explanation:

J = (P)*(t)

t = J/P

22.

t = (80 J)/(40 W)

t = 2 s

23.

t = (2,700,000 J)/(900,000 W)

t = 3 s

24.

t = (10,000 J)/(200 W)

t = 50 s

**100 POINTS**

Suppose you have a balenced stick with 3 weights on one side and only 1 weight on the other side.What needs to happen on the side with less weight for the objects to be balanced?

A.Nothing.The objects cannot be balanced

B.Move the 1 weight closer to the center

C.Set the 1 weight 3 times the distance from the center as the weights on the other side

D.Set the 1 weight 6 times the distance from the center as the weights on the other side

Answers

Answer:

B

Explanation:

In 2019, the IUCN Red List reported approximately _____ species of in danger of disappearing from the wild.

Answers

Answer:

In 2019, the IUCN Red List reported approximately 28,000 species of in danger of disappearing from the wild.

Explanation:

The IUCN Red List is a glossary of animal and plant species that are in danger of extinction, dividing the severity of the danger into different colors where red is synonymous with those species in critical danger of disappearing.

The 2019 Red List showed that more than 28,000 species of animals, plants and other living beings are in a situation of critical danger, notable examples being the Iberian Lynx and the Bornean Orangutan, among many others.

A cricket can travel approximately 8 m/s. How many meters could a cricket travel in 75
s?

Answers

Answer:

Your answer will be 600meters

while flying a plane parallel to the ground a pilot releases a fuel tank in order to reduce the planes mass. what is the tanks final velocity after falling 10 m

Answers

La velocidad vertical del tanque después de caer 10 m es 14 m/seg .

La velocidad vertical del tanque se calcula mediante la aplicación de la fórmula de velocidad , la componente vertical Vfy, del movimiento horizontal como se muestra a continuación :

Vfy=?

  h = 10 m

                              Fórmula de Velocidad vertical Vfy:

                           Vfy²  = 2*g*h

                            Vfy= √(2*9.8m/seg2* 10m )

                            Vfy= 14 m/seg

pls help!!
Thanks =] ​

Answers

Answer:

i think 2 N right because the wheels have a bigger force so we will subtract both sides which is 2 and right is longer so its 2 N Right?

When you see an object that is not a light source, you are seeing light waves ___ by the object

A. reflected
B. absorbed
C. refracted

Answers

probably a or b not sure

When was the Federation Internationale de Football Association ( F.I.F.A) founded ?

a - May 21, 1404

b - May 21, 1094

c - May 21, 1904

Answers

Answer:

c - May 21, 1904

Federation lnternational de Football Association was established on May 21, 1904

Explanation:

I hope it helps ❤❤

Why can we say that the ratio of net force to mass is constant forany dropped object on Earth?

Answers

Answer:

All objects free fall at the same rate regardless of their mass. Because the 9.8 N/kg gravitational field at Earth's surface causes a 9.8 m/s/s acceleration of any object placed there, we often call this ratio the acceleration of gravity.

Explanation:

Newton's Second Law, if I remember right.

GIVING BRAINLIEST LOOK AT THE DIAGRAM AND AWNSER THE QUESTION
Which statement is best supported by the diagram?


Kinetic energy becomes potential energy between points R and S.

Maximum potential energy is at point P.

Maximum potential energy is at point R.

Potential energy becomes kinetic energy between points P and Q.

Answers

Answer:

Option D)Potential energy becomes kinetic energy between points P and Q.

Explanation:

Thanks for the help :)​

Answers

Add the two forces togather

I need it now aaaasssssaaaappp!!!!

Answers

A) Pitch depends on the frequency of a sound wave. The higher the pitch, the higher the frequency and the lower the pitch, the lower the frequency. Sound waves have different pitches due to varying frequency levels.

B) Sound is created as the pen vibrates. This vibrations also interacts with the air atoms and molecules, causing them to vibrate too, therefore, creating sound waves. The reason the brain grows annoyed at this continual sound is because the brain will focus on this sound only, causing the brain to go into overdrive, creating annoyance.

C) Sound waves are travelling vibrations of particles. Space does not have any atoms or particles for the sound vibrations to interact with, therefore creating zero sound waves to travel.

Hope this helps!! :))

Mass of 2 x 1021 number of atoms of a
element is 0.49. What is the mass of 0.5 mole of a b
element?

Answers

Answer: The mass of 0.5 mole of element ab is 81.67 g.

Explanation:

According to the mole concept, 1 mole of a substance contains [tex]6.022 \times 10^{22}[/tex]. As, the mass of [tex]2 \times 10^{21}[/tex] atoms is 0.49 g.

So, [tex]\frac{2 \times 10^{21}}{6.022 \times 10^{23}} mol = 0.49 g[/tex]

[tex]0.003 mol = 0.49 g[/tex]

Therefore, mass of 1 mole = [tex]\frac{0.49}{0.003}[/tex]

                                            = 163.33 g/mol

Hence, mass of 0.5 mole of ab element is calculated as follows.

[tex]0.5 mol \times 163.33 g/mol[/tex]

= 81.67 g

Therefore, the mass of 0.5 mole of element ab is 81.67 g.

help pls i need this right now

Answers

Answer:

The x-component of [tex]F_{3}[/tex] is 56.148 newtons.

Explanation:

From 1st and 2nd Newton's Law we know that a system is at rest when net acceleration is zero. Then, the vectorial sum of the three forces must be equal to zero. That is:

[tex]\vec F_{1} + \vec F_{2} + \vec F_{3} = \vec O[/tex] (1)

Where:

[tex]\vec F_{1}[/tex], [tex]\vec F_{2}[/tex], [tex]\vec F_{3}[/tex] - External forces exerted on the ring, measured in newtons.

[tex]\vec O[/tex] - Vector zero, measured in newtons.

If we know that [tex]\vec F_{1} = (70.711,70.711)\,[N][/tex], [tex]\vec F_{2} = (-126.859, 46.173)\,[N][/tex], [tex]F_{3} = (F_{3,x},F_{3,y})[/tex] and [tex]\vec O = (0,0)\,[N][/tex], then we construct the following system of linear equations:

[tex]\Sigma F_{x} = 70.711\,N - 126.859\,N +F_{3,x} = 0\,N[/tex] (2)

[tex]\Sigma F_{y} = 70.711\,N + 46.173\,N+F_{3,y} = 0\,N[/tex] (3)

The solution of this system is:

[tex]F_{3,x} = 56.148\,N[/tex], [tex]F_{3,y} = -116.884\,N[/tex]

The x-component of [tex]F_{3}[/tex] is 56.148 newtons.

3. What is a manometer used to determine?​

Answers

Answer:

It's used to indicate pressure

used to indicate pressure!
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