Emily rides on a horizontal rotating platform of radius r at an amusement park
and moves at a linear velocity, vt = 1 m/s, one third the way from the center to the
outer edge, and a rotational velocity of 2 RPM. How much would her linear and
rotational velocities be if she moves to the outer edge?

Answers

Answer 1

Answer:

Her linear velocity on the outer edge is 3 m/s

Her rotational velocity, is constant at 2 RPM

Explanation:

The given parameters are;

The radius of the rotating platform = r

The linear velocity  v(t) = 1 m/s

The position Emily is riding = 1/3 the distance from the center

The rotational velocity = 2 RPM = 2 Revolutions per minute

The formula for angular velocity, ω is given as follows;

ω = θ/t

Where;

θ = The angle rotated

t = The time taken for the rotation

Given that the rotational velocity = 2 RPM

1 revolution = 2·π radians

The angular velocity, ω = 2×π×(2 RPM) = 4·π rad/min = 4·π/60 rad/seconds

ω = 4·π/60 rad/seconds

The linear velocity, v = r₁×θ/t = r₁×ω

Where;

r₁ = 1/3 × r

v = 1 m/s = 1/3 × r  × 4·π/60 rad/seconds

∴ r = 1/(1/3 × 4·π/60) = 45/π meters

r = 45/π meters

Therefore her linear velocity, v₂ and her rotational velocity if she moves to the outer edge will be given as follows;

v₂ = r × ω = 45/π × 4·π/60 = 3 m/s

Her linear velocity on the outer edge, v₂ = 3 m/s

Her rotational velocity, remains at 2 RPM.


Related Questions

Similarities and differences between natural and synthetic for sugar

Answers

Answer:

THE REAL STUFF

For starters, sugar is sugar, no matter how it’s marketed, priced or packaged.  All sugar offers the same number of calories, although some may be less processed. It seems like every third day a “new” natural sugar emerges as the next best thing. Take for example, the increasingly popular coconut sugar or maple sugar, which are actually just fancy names with a heftier price tag for one ingredient: sugar. Your body can’t tell the difference between raw coconut sugar or processed table sugar, all sugar is metabolized and digested the same. While some more natural forms of sugar may contain a bit more minerals and haven’t undergone as much refinement, they really aren’t any healthier.

THE ARTIFICIAL STUFF

The most popular artificial sweeteners include sucralose (Splenda), aspartame (Equal) and saccharin (Sweet’N Low), neotame, and acesulfame-K are found in diet sodas, light yogurts or ice creams, sugar-free chewing gums and candies among other products. They’re oftentimes marketed as diet, sugar-free, calorie-free, low-calorie, skinny or light.

Artificial sweeteners are man-made, unnatural chemical compounds that our body doesn’t understand or know how to metabolize.  Some scientific evidence suggests artificial sweeteners may cause brain cancer or slow down metabolism – although most of these studies have been tested on animals, never humans.

Or what about the theory that eating alternative sweeteners makes you more inclined to eat a) a whole bag of sugar-free candies at one time, and b) overindulge in junk food later. Plus, certain types of sugar alcohols or sugar substitutes contain hard-to-digest ingredients that can manifest in symptoms of gastrointestinal discomfort, like bloating, gas, cramping, diarrhea, or even constipation.

There is no difference, not in any useful sense. Anything you might call sugar is one of a handful of molecules; sucrose, glucose = dextrose, fructose, maltose, and several others. Sucrose is the molecule most commonly meant by “sugar”.Your body doesn’t know or care where these molecules have come from. The sugar could be largely avoided while still getting the other benefits of plant-based foods.

A player kicks a football into the air. It slows to a stop at its highest point in the air before falling to the ground. Which statement accurately describes the motion of the football?

Answers

Answer:

The answer is "The ball slows down in the air due to an unbalanced force "

Explanation:

If plays kick the ball, its object is mainly controlled by various forces its player's power as well as the other gravitational force, which acts in such a direction often focused from around Earth.  

Its force of its player will decrease because as strength of gravity is consistent, enabling both forces to interfere, therefore slowing the speed of football.

What is the height of a 50 kg person that has a potential energy of 4900J?

245,000m

98 m

10 m

Answers

Answer:

10 m

Explanation:

PE = mgh

m = 50kg

g= 9.8 m/s^2

h=?

so,

4900= 50×9.8× h

50h = 4900/9.8

50h = 500

h = 10 m

What two things must you know to describe the motion of an object? __________________________________________________________________________

Distance is _________________________________________________________________

What is the displacement of a cyclist, who travels 1 mile north, then 1 mile east, and finally 1 mile south? ___________________________

Define speed ________________________________________________________________

How do speed and velocity differ? ______________________________________________
__________________________________________________________________________

How do velocities combine? In opposite directions? ________________________________ In the same direction? ________________________________________________________

A river flows at a velocity of 3 km/h relative to the riverbank. A boat moves upstream at a velocity of 15 km/h relative to the river. What is the velocity of the boat relative to the riverbank? ___________________________________

The rate at which velocity changes is called ________________________

True or false? Acceleration is the result of increases or decreases in speed.

A horse on a carousel that is moving at a constant speed is accelerating because _________________________________________________________________________

True or false? When the final velocity is less than the initial velocity of an object, the acceleration is negative.

The total distance traveled divided by the total time is _______________________

What are some common units for speed (give at least two) _____________ ___________

Define velocity ____________________________________________________________

Define acceleration _________________________________________________________

A quantity that has both magnitude and direction is called a _________________.

WILL MARK BRAINLIEST PLEASE HELP DUE IN 2 MINS
On a distance-time graph speed is a ____________ line and thus a ____________ graph.

On a distance-time graph acceleration is a ___________ line and thus a _______________ graph.

Answers

Answer:

velocity is vector Quantity

40 points and brainliest plz helppp luv yah thxx
A car moving at 10 m/s slows to a stop. It moves 25 meters forward while braking.
1. What is its braking acceleration?
Explain how you found your answer.

2. How much time does it take to slow to a stop?
Explain how you found your answer.

Answers

Answer:

hey want you to separate the energy’s and put them in the categories they go in like why are They different what is chemically different about them? Etc.why do they act differently.. do they act the same in some ways? Think about that

Explanation:

A generator converts mechanical energy to electrical energy by using a conducting metal loop turning in a...
A. magnetic field
B. Gravitational field
C. Steel sphere
D. Cooper sphere

Answers

Answer:

B- Gravitational Field

Explanation:

Have a nice day, hope you get a good grade!

The  generator converts mechanical energy to electrical energy by using a conducting metal loop turning in a gravitational field.

What is the gravitational field?

In terms of physics, a gravitational field represent the model that should be used for explaining the impact where the massive body should be extended into the space around it. Also, generating the force on the another massive body.

Therefore, based on the above explanation, the correct option is b.

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How do atoms of different non metals stabilize themselves?
Pls help

Answers

Answer:

by taking other atoms that have one shell and putting it i the spot that they need t in

Explanation:

A skydiver jumps from a plane and falls for 5 seconds before reaching his terminal velocity. During this 5 seconds interval, describe his acceleration before reaching terminal velocity?

Answers

Answer:

His acceleration during the first five seconds before reaching terminal velocity = (W - D)/m

Explanation:

The terminal velocity is the maximum steady velocity attained by a body falling freely with increasing velocity from rest in a fluid, such as air or water

The net force, F acting on the body falling through the fluid is given as follows;

F = Weight force, W, from gravity - Drag force, D, from the fluid

F = W - D

Given that F = Mass, m × Acceleration, a, we have;

F = m × a

The acceleration, a = F/m = (W - D)/m

His acceleration during the first five seconds before reaching terminal velocity = (W - D)/m.

what do acid increase the concentration of in a solution

Answers

Answer:

Hydronium ([tex]H_{3}[/tex]O)

Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the
material.

Answers

I would say 5.6 to the 4 and I’ll I did was add it to both side

We have that for the Question "Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the material." it can be said that

From the question we are told

Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the  material.

Generally the equation for the  index of refraction  is mathematically given as

[tex]n=\frac{C}{v}\\\\Therefore\\\\n=\frac{3*10^8}{2.5 * 10 }\\\\n=12000000\\\\[/tex]

Therefore

The  index of refraction  of the material is

n=12000000

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Which of the following best defines speed?
A. It is an objects speed at a specific point in time
B. It is the distance traveled by an object in a specific direction
C. It is a measure of how far an object moves over a certain amount of time
D. It is the total time over the distance

Answers

D. It is the total time over the distance

In which situation is the net force on the object equal to zero?


A.) a bicycle moving at a constant speed on a straight, level road

B.) an automobile braking to a stop

C.) a satellite moving at a constant speed around Earth in a circular orbit

D.) a pitched baseball being hit by a bat

Answers

Answer:

A.) a bicycle moving at a constant speed on a straight, level road.

Explanation:

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[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.

In Physics, when the net force acting on a body or an object is equal to zero (0); the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.

In this scenario, the situation in which the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.

The net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.

The given problem is based on the Newton's second law to define net force. The net force on any object is an external effort by which the object change its speed with respect to time or tends to change the state of its motion. The mathematical expression for the net force is,

F = ma

Here, F is the net force, m is the mass of object and a is the acceleration of object.

When the net force acting on a body or an object is equal to zero , then the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.

In the given problem the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.

Thus, we conclude that the net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.

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What are greenhouse gases? Can you name any?

Answers

greenhouse gasses in the upper atmosphere trap heat from the Earth and reflect it back down rather than allow it to escape. This makes Earth progressively warmer.

HELP PLS HURRY !!!!!!!!!

Answers

The answer is Electrical Energy

please help me quickly

Answers

Answer:

not moving

Explanation:

I need help on this, please tell me what it is.

Answers

Answer:

maria is right.

Explanation:

A bullet is fired straight up from ground level for a distance of 1688.3m at a speed of 182 m/s. How long does it take for the bullet to stop?

Answers

S= 1/2 x 182 x t = 1688.3
t = 1688.3 / 91
time = 18.55 seconds

Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?

Answers

Answer:

80 km is distance and 30km north is displacement

Explanation:

distance= 50+30=80km

displacement= 50-20=30

his displacement is 30km north

When Tyler drives 50 km north and then drives back 30 km south, we have:

1. The distance that he covers is 80 km.

2. Tylor's displacement is 20 km.  

1. The distance is a scalar that is given by the sum of the kilometers traveled by Tyler as follows:

[tex] d = d_{1} + d_{2} = 50 km + 30 km = 80 km [/tex]

Hence, the distance traveled by Tyler was 80 km.

2. The displacement is a vector that depends on the direction of travel. Takin the north direction as positive we have:

[tex] x = x_{1} + x_{2} = 50 km + (-30 km) = 20 km [/tex]

Therefore, Tyler's displacement is 20 km.

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Could you pick up a nail using the curved part of the horseshoe magnet farthest from the poles?

Answers

Answer & Explanation:

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles. A horse shoe magnet has magnetic fields all around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

What is magnet?

A substance which is negative charged at one end and positive charged at another end creating the magnetic field around it.

A nail is a magnet which can attract the particle which are charged.

A horse shoe magnet also has magnetic fields around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

Thus. one could pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

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Stefan has to drive 8 miles south and 3 miles east to get to work. Find his distance and displacement.

Answers

Stefan's distance and displacement are 11 miles and 8.54 miles southeast

The distance can be calculated directly by adding up the individual distance.

d = 8+3d = 11 miles

To calculate the displacement of Stefan, we make use of the Pythagoras theorem.

From Pythagoras theorem,

Formula:

a² = b²+c²................ Equation 1

Where:

a = Stefan's resultant displacementb = Stefan's displacement to the southc = Stefan's displacement to the east.

From the question,

Given:

b = 8 milesc = 3 miles.

Substitute these values into equation 1

a² = 8²+3²a² = 64+9a² = 73a = √(73)a = 8.54 mile southeast.

While the displacement is 8.54 miles southeast.

Hence, Stefan's distance and displacement are 11 miles and 8.54 miles southeast.

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A fire is burning in a fireplace. Where is the radiation?

A. You touch warm bricks next to the fireplace
B. You can feel the heat from across the room
C. Heat is rising up from the chimney

Answers

I think it’s A.
........

A stone is thrown straight up in the air. If g represents the acceleration due to
gravity, which one of the following statments about the stone is false?
When the stone reaches the top of its flight, its acceleration is still g.
As the stone rises, its potential energy decreases.
When the stone reaches the top of its flight, its energy is zero.
As the stone rises, it is accelerated downward.
As the stone rises, its kinetic energy decreases.

Answers

Answer:

The correct false statement is;

As the stone rises, its potential energy decreases

Explanation:

When the stone is thrown straight up into the air, the initial velocity, u, progressively decreases according to the following equation;

v = u - g·t

Where;

v = The final velocity

g = The acceleration due to gravity = 9.81 m/s²

t = The time taken

Therefore whereby, the kinetic energy. K.E. is given by the equation , K.E. = 1/2 × m × u², as u reduces, the kinetic energy reduces

However, the potential energy, P.E. is given as P.E. = m × g × h

Where;

h = Height

m = The mass of the stone

Therefore, as the stone rises, the potential energy increases.

Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base with a speed of 5.91 m/s, accelerating at -5.11 m/s 2 . Determine the distance Rickey slides across the ground before touching the base. How much time is he sliding for before touching the base?

Answers

Answer:

The distance is 1.04 m and time is 0.16 seconds.

Explanation:

Initial speed, u = 6.75 m/s

Final speed, v = 5.91 m/s

Acceleration, a = -5.11 m/s²

We need to find the distance Rickey slides across the ground before touching the base and the time he sliding for before touching the base.

Let d is the distance. It can be calculated using third equation of motion as follows :

[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(5.91)^2-(6.75)^2}{2\times (-5.11)}\\\\d=1.04\ m[/tex]

Let t is the time he slides for before touching the base. Using first equation of motion as follows :

[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{5.91-6.75}{-5.11}\\\\t=0.16\ s[/tex]

So, the distance is 1.04 m and time is 0.16 seconds.

When the energy of a wave increases, what happens to the amplitude?

Answers

Answer:

The energy transported by a wave is directly proportional to the square of the amplitude. So whatever change occurs in the amplitude, the square of that effect impacts the energy. This means that a doubling of the amplitude results in a quadrupling of the energy.

Explanation:

When the energy of a wave increases, the amplitude also increases. This is because the amplitude of the wave is directly proportional to the energy of a wave.

What is the amplitude of a wave?

The amplitude of a wave may be defined as the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

It is the principle of physics that when the amplitude of the wave is higher, the energy also gets higher. To summarise, waves carry energy. The amount of energy they carry is related to their frequency and their amplitude. The higher the frequency, the more energy, and the higher the amplitude, the more energy.

Therefore, when the energy of a wave increases, the amplitude also increases. This is because the amplitude of the wave is directly proportional to the energy of a wave.

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why would a rocket fall vertically downwards if it was launched vertically upwards​

Answers

Answer:

It would because the shape of the rocket is designed to be able to slice through the air as smooth as possible and now you may be thinking that air is already smooth but when you try to push something as large and heavy like a rocket then the shape of the rocket will be very important. The bottom of the rocket is flatter then the top so it is not designed to fly smoothly through the air. So the rocket would fall vertically downward(If it was still in one piece)because of it's shape. It is easier for the top of the rocket to go smoothly through the air then the bottom.

Explanation:

I am 90% sure this is correct but if I'm not please tell me

To solve this we must be knowing each and every concept related to rocket. Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

What is rocket?

A rocket is indeed a vehicle that accelerates by employing jet propulsion rather than the surrounding air. A rocket engine generates thrust by reacting to high-speed exhaust.

The reason would be that the shape of a rocket is meant to slice through air as smoothly as possible. You may assume that air already is smooth, but when we try to push anything as massive and heavy as a rocket, the shape of a rocket becomes quite crucial.

Because the bottom of a rocket is flatter than the top, it isn't designed to glide through the air gracefully. Because of its form, the rocket will fall vertically downward . The tip of the rocket travels more smoothly in the air than the bottom.

Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

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A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .

Answers

Answer:

maximum height reach by rockect =970.2metre

Explanation:

A stunt man launches a car from the edge of a cliff horizontally. If he is launching off a
30-meter high cliff and must hit a mark 268-meters down range, with what speed
must he leave the cliff?

Answers

Answer:

All i got to say is that he is dead dead

Explanation:

Questions

1. From your data, what factor(s) affect the speed of a wave? Explain your reasoning.

2. The pitch made by a musical instrument is dependent on the frequency of the wave. Frequency is the inverse of period. What impact do you think the frequency of a wave has on the wave speed?

3. What happens to wave speed as it moves from a medium of low density to one of high density? Explain your response with respect to this lab.

4. When a stringed instrument is out of tune, the player with tighten or loosen the string. If the instrument is initially flat, should they tighten or loosen the string? In the context of this experiment, explain your reasoning.

Present Your Findings or Questions

Using data and observations, answer the questions and provide your data tables in the essay box below.​

Answers

Answer:

Initial velocity describes how fast an object travels when gravity first applies force on the object. On the other hand, the final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.

Explanation:

Answer:

1. The speed of the wave is affected by wavelength frequency because waves travel through a medium and sound, ocean waves and seismic waves, etc. are the physical properties of the medium that determines the speed of the mechanical waves.

2. I think the frequency of the wave doesn't have any effect on the wave speed. Only the characteristics of the medium the wave is traveling through determines its speed.

3. As a wave moves from a medium of low density to a higher density the wave speed increases and when a wave moves from a higher density to a medium density the wave speed decreases because the wave length shortens causing the wave speed to lower.

4.If the instrument is initially flat they should tighten it because once it is tightened there is going to be force applied to the gears, and after you've reached the correct pitch the gears won't be able to move. So ultimately, you will be able to meet the intended pitch you were going for.

A dumptruck filled with sand moves 1.8 km/h when it begins to accelerate uniformly at a constant rate. After traveling 4.0  102 m, the truck's speed is 24.0 km/h. What is the magnitude of the truck's acceleration?

Answers

The acceleration of the truck is obtained from the calculation done as  0.055 m/s^2.

What is the magnitude of the truck's acceleration?

We know that the acceleration is defined as the rate of the change of the velocity of the object with time and we can be able to obtain the acceleration by the use of the equations of kinematics as usual.

Initial velocity =  1.8 km/h  or 0.5 m/s

Final velocity = 24.0 km/h or 6.67 m/s

Distance covered = 4.0 * 10^2 m

Then;

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance covered

a = v^2 - u^2/2s

a = (6.67)^2 - (0.5)^2/2 *  4.0 * 10^2

a = 44.4 - 0.25/800

a = 0.055 m/s^2

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If you are in a car at a stop sign and then the driver
presses on the gas pedal really hard, which way is the car
accelerating?

Answers

Answer:

it wont be because the hand brake would be on

The car is accelerating forward.
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