A grinding wheel, initially at rest, is ro-tated with constant angular acceleration of2.52 rad/s2for 7.03 s. The wheel is thenbrought to rest with uniform deceleration in11.9 rev.Find the angular acceleration required tobring the wheel to rest. Note that an in-crease in angular velocity is consistent with apositive angular acceleration.Answer in units of rad/s2.

Answers

Answer 1

Starting from rest, the wheel accelerates to an angular velocity of

ω = (2.52 rad/s²) (7.03 s) ≈ 17.7 rad/s

then undergoes a new acceleration α until it comes to a rest. It does so in 11.9 revolutions, or with an angular displacement of (11.9 rev) • (2π rad/rev) = 23.8π rad. So α satisfies

0² - ω² = 2 α (23.8π rad)

α = - ω² / (47.6π rad)

α ≈ -2.10 rad/s²


Related Questions

how can 23.78 x 10 to the power of negative 6 metre cube per mole changed to meter cube?​

Answers

Answer:

We multiply [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex] by the amount of mole to change units to cubic meters.

Explanation:

Let [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex], we change the unit to cubic meters by multiplying this number by the amount of moles of the sample. For instance, let [tex]n = 1\,mol[/tex], then the obtain the following result:

[tex]m = x\cdot n[/tex] (1)

[tex]m = \left(23.78\times 10^{-6}\,\frac{m^{3}}{mol} \right)\cdot (1\,mol)[/tex]

[tex]m = 23.78\times 10^{-6}\,m^{3}[/tex]

1.
A car is moving in a circle or radius r = 25 meters, in a parking lot at 10 m/s. What is the car's
centripetal acceleration?

Answers

A :-) a = v^2 by r
Given - radius = 25 m
velocity = 10 m/s
Solution -
a = v^2 by r
a = ( 10 )^2 by 25
a = 100 by 25
( cut 25 and 100 because 25 x 4 = 100 )
a = 4 m/s^2

.:. The centripetal acceleration of the car
= 4 m/s^2.

What is string theory? Need answer in own word​

Answers

Answer:

When point particals are replaced by string like particals

Explanation:

Two go-carts, A and B, race each other around a 1.0 track. Go-cart A travels at a constant speed of 20.0 /. Go-cart B accelerates uniformly from rest at a rate of 0.333 / ଶ . Which go-cart wins the race and by how much time?

Answers

Complete Question

Q. Two go-carts, A and B, race each other around a 1.0km track. Go-cart A travels at a constant speed of 20m/s. Go-cart B accelerates uniformly from rest at a rate of 0.333m/s^2. Which go-cart wins the race and by how much time?

Answer:

Go-cart A is faster

Explanation:

From the question we are told that

       The length of the track is [tex]l = 1.0 \ km = 1000 \ m[/tex]

       The speed of  A is  [tex]v__{A}} = 20 \ m/s[/tex]

       The uniform acceleration of  B is  [tex]a__{B}} = 0.333 \ m/s^2[/tex]

  Generally the time taken by go-cart  A is mathematically represented as

              [tex]t__{A}} = \frac{l}{v__{A}}}[/tex]

=>          [tex]t__{A}} = \frac{1000}{20}[/tex]

=>           [tex]t__{A}} = 50 \ s[/tex]

  Generally from kinematic equation we can evaluate the time taken by go-cart B as

             [tex]l = ut__{B}} + \frac{1}{2} a__{B}} * t__{B}}^2[/tex]

given that go-cart B starts from rest  u =  0 m/s

So

            [tex]1000 = 0 *t__{B}} + \frac{1}{2} * 0.333 * t__{B}}^2[/tex]

=>         [tex]1000 = 0 *t__{B}} + \frac{1}{2} 0.333 * t__{B}}^2[/tex]            

=>         [tex]t__{B}} = 77.5 \ seconds[/tex]  

 

Comparing  [tex]t__{A}} \ and \ t__{B}}[/tex]  we see that [tex]t__{A}}[/tex] is smaller so go-cart A is  faster

   

       

A 2.0 kg block is released from rest at the top of a curved incline in the shape of a quarter of a circle of radius R = 3.0 m. The block then slides onto a horizontal plane where it finally comes to rest a distance D from the beginning of the plane. The curved incline is frictionless, but there is a coefficient of friction, μ = 0.5, on the horizontal plane. Determine the velocity of the box at maximum kinetic energy

Answers

The block has maximum kinetic energy at the bottom of the curved incline. Since its radius is 3.0 m, this is also the block's starting height. Find the block's potential energy PE :

PE = m g h

PE = (2.0 kg) (9.8 m/s²) (3.0 m)

PE = 58.8 J

Energy is conserved throughout the block's descent, so that PE at the top of the curve is equal to kinetic energy KE at the bottom. Solve for the velocity v :

PE = KE

58.8 J = 1/2 m v ²

117.6 J = (2.0 kg) v ²

v = √((117.6 J) / (2.0 kg))

v ≈ 7.668 m/s ≈ 7.7 m/s

The velocity of the block at maximum kinetic energy is 7.668 m/s.

From  potential energy formula,

PE = m g h

Where,

m = mass = 2 kg

g -gravitational acceleration = 9.8 m/s²

h - height = 3 m

Put the values in the formula,

PE = (2.0 kg) (9.8 m/s²) (3.0 m)  

PE = 58.8 J

Since,  

PE = KE

Thus,

58.8 J = 1/2 m v ²  

117.6 J = (2.0 kg) v ²  

v = √((117.6 J) / (2.0 kg))  

v = 7.668 m/s

Therefore, the velocity of the block at maximum kinetic energy is 7.668 m/s.

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You have a cup full of water and a bathtub full of water. Both samples of water have a temperature of 30°C. Which sample has greater amount of heat?

Answers

Answer:

 temperature is -10

Explanation:

How does music affect our brain ?

Answers

Answer:

it makes us less stressful and more calm so we can do things easier

Explanation:

Bernoulli's principle is responsible for most of the lift produced by an airplane wing.
True
False

Answers

Answer:

huiiiiuuu beautiful...

The sun shines equally on both hemispheres during the summer and winter solstices.

True
False

Answers

False it says that he shines equally during the equinox

I am traveling at 100 m/s, I hit the brakes and my speed goes down to 50 m/s. It took 30 seconds to slow down. What was my acceleration?

A.5 m/s2
B.-5 m/s2
C.1.7 m/s2
D.-1.7 m/s2

Answers

Answer:

D. -1.7m/s2

Explanation:

the car starts at 100m/s so this is the initial velocity. It ends at 50m/s so this is the final velocity. it took 30 seconds so the time is 30.

[tex]v_{f}=v_{i}+at[/tex]

[tex]a=\frac{\left(v_{f}-v_{i}\right)}{t}[/tex]

[tex]a=\ \frac{\left(50-100\right)}{30}[/tex]

[tex]a=-1.66666666667[/tex][tex]m/s^{2}[/tex]

Therefore, the answer is D

The negatively charged particle in an atom is a(n):

Answers

Answer: Electron

Explanation:A negatively charged particle found circling or orbiting an atomic nucleus. An electron, like a proton is a charged particle, although opposite in sign, but unlike a proton, an electron has negligible atomic mass. Electrons contribute no atomic mass units to the total atomic weight of an atom.

Hope this helps!!Brainlist?

Radioisotopes often emit one or more types of radiation, including alpha particles, beta particles, and gamma rays. The distance the radiation travels through matter before being absorbed increases in order from alpha to gamma. Which statement describes the best radioisotope that can be used for radioisotope imaging and for radionuclide therapy?

It emits only gamma rays.
It emits only alpha particles.
It emits alpha and beta particles.
It emits beta particles and gamma rays.

Answers

Answer:

The most correct option is the last option

Explanation:

During radioisotope/nuclear imaging in diagnosis, the radioisotope must emit gamma rays from within the body. However, in the case of radionuclide therapy, most radionuclides emit beta particles while some others also emit gamma rays.

Answer:

D

Explanation:

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

Outline the cell cycle

Answers

Answer:

The cell cycle has four stages: during the first three, the cell is in interphase, and in the last one, the cell is dividing itself. Also, there is a resting stage when the cell is not preparing itself for the division.

G0: the cell is not in the cell cycle. It is resting and not preparing itself for the division.

G1: the cell grows and synthesizes proteins and other elements that the cell will need for the next stage.

S: In this phase, which is called Synthesis, the cell synthesizes the DNA.

G2: the cell continues to grow. It synthesizes more proteins, RNA, and other elements that it will need for mitosis.

Mitosis: the division of the cell takes place, and as a result, there are two daughter cells. This phase has four stages, prophase, metaphase, anaphase, and telophase.

Explanation:

The cell cycle has four stages. Each of them has a role in the division of the cell. The first one is Gap 1 or G1, then the Synthesis or S phase follows, after S, Gap 2 takes place, and finally, Mitosis.

We can divide the cell cycle into two big groups: interphase, which includes G1, S, and G2, and the changes that the cell suffer can not be appreciated. The other group is the One where the cell division happens, and it includes Mitosis.

G0 is not part of the cell cycle. It is a state where the cell doe not prepares itself for the division. It is resting.

help!!!! please!!! i’m not sure what the answer is for both questions please

Answers

Answer:

a.) 600N

b.) 2 m/s^2

Explanation:

a.)

In order to solve for the needed force, you must use Newton's 2nd law which states that a force is equal to mass multiplied by acceleration.

Basically: Force = mass * acceleration ; F = ma

Since both mass and acceleration are already given, just plug them into the formula and solve for force:

Mass = 200kg

Acceleration = 3m/s^2

F = m * a = 200 * 3 = 600kg * m/s^2 = 600N

b.)

In order to find the acceleration, like the hint already says, you need to find the net force first and then use Newton's 2nd law.

To calculate net force:

Since both forces are parallel (affect the same axis) and in opposite directions, you can subtract the two in order to find resultant magnitude. The resultant direction is the direction of the force with the large magnitude.

Net Force: 8N - 4N = 4N

Net Force Direction: since 8N > 4N, the direction is in the same direciton as the 8N force = Left

Finally, you find acceleration using newton's 2nd law, F = ma.

Since you already know mass and net force, plug in to solve for acceleration:

4N = 2kg * a

a = 4 N / 2kg = 2m/s^2

Anyone.... help with this two questions...​

Answers

Do you still need help

HELP ASAP!!!! WILL TRY TO GIVE BRAINLIEST!

Identify the structure that separates the nuclear contents from the cytoplasm.

Answers

Answer:nuclear membrane

Explanation:

Answer:

Nuclear envelope. Hope this helps.

This is a two part question:
What is the magnitude net force acting on an object that is pushed by a 430N and experiences 120N force?
430N
120N
310N
550N

If a net force of 375N is acting on a crate and there is 65N of friction
created, what is the magnitude net force the crate experiences?
375N
65N
310N
440N

Answers

Answer:

1. 310 N

2. 310 N

Explanation:

1. Determination of the net force.

Force applied (Fₐ) = 430 N

Force experience (Fₑ) = 120 N

Net force (Fₙ) =?

Fₙ = Fₐ – Fₑ

Fₙ = 430 – 120

Fₙ = 310 N

Hence, the net force acting on the crate is 310 N

2. Determination of the net force.

Force applied (Fₐ) = 375 N

Force of friction (Fբ) = 65 N

Net force (Fₙ) =?

Fₙ = Fₐ – Fբ

Fₙ = 375 – 65

Fₙ = 310 N

Hence, the net force acting on the crate is 310 N.

what is the correct answer?

Answers

Answer:

The value of k is -4. Third choice

Explanation:

The Polynomial Remainder Theorem

It states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p(x)= x^3+kx^2+x+6[/tex]

And we also know x+1 is a factor of p(x). If x+1 is a factor of p(x), then the remainder of the division of p(x) by x+1 is zero.

Applying the remainder theorem for a = -1:

[tex]p(-1)= (-1)^3+k(-1)^2+(-1)+6=0[/tex][tex]-1 + k - 1 + 6 = 0[/tex]

Solving for k:

[tex]k = 1 + 1 - 6[/tex]

[tex]\boxed{k = -4}[/tex]

The value of k is -4. Third choice

Mr. Davis is riding his bike at a speed of 5 meters per second for 3600 seconds how far did he ride?

Answers

Answer:18,000 meters

Explanation:3600x5=18,000.

What is the acceleration of a car initially traveling at -5m/s and
reaching -22m/s in 3s.

Answers

Answer:

[tex]a=-5.67\ m/s^2[/tex]

Explanation:

Given that,

Initial velocity, u = -5 m/s

Final velocity, v = -22 m/s

Time, t = 3s

We need to find the acceleration of the car. The formula of it is given by :

Acceleration,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{(-22)-(-5)}{3}\\\\a=-5.67\ m/s^2[/tex]

So, the acceleration of the car is [tex]-5.67\ m/s^2[/tex].

An icicle falls off of a skyscraper from rest and falls for 34 seconds. How fast will that icicle be moving after that time? Show all work and units. (a = g = 9.81 m/s^2) *

Answers

Answer:

The icicle will be moving at 333.54 m/s

Explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.81 m/s^2[/tex].

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The icicle falls from rest for 34 seconds. We need to find the speed after that time:

vf = 9.81*34

vf = 333.54 m/s

The icicle will be moving at 333.54 m/s

Assume that 10 waves pass a fixed point in 5 seconds. What is the frequency of the waves in hertz?

Answers

Answer:

2 hz

Explanation:

Hertz is cps or cycles per second.  10/5= 2 cps

The frequency of the waves when  10 waves pass a fixed point in 5 seconds is 2Hz.

What is wave ?

Wave is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase.

Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a transverse wave.

Frequency is nothing but numbers of revolution or number of cycles or number of waves in one second. its is expressed in Hertz (Hz) in SI unit.

Given,

Number waves = 10 waves

time = 5 seconds

Frequency = ?

Frequency = No of waves ÷ time

Frequency  = 10 ÷ 5

Frequency = 2 Hz

Hence frequency of the wave is 2 Hz.

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1 point
Which will hit the ground first, if both objects are dropped from the same
height at the same time IN AIR?*
O an icicle
O a snow flake
O both hit the ground at the same time

Answers

Answer:

an icicle

Explanation:

and icicle has less air resistance compared to that of a snow flake

A meter stick of uniform density is pivoted at the 75 cm mark and a 250 g mass is placed at the 90.0 cm mark. If it balances the meter stick, what is the mass of the meter stick

Answers

Answer:

The mass of the meter stick is 50 g.

Explanation:

make a sketch of the problem statement;

0-------------------------------------------------75cm------90cm-----100cm

↓                                                          Δ              ↓

W                                                                       250 g

where;

W is the mass of the meter stick

Apply the principle of moment; take moment about the pivot.

sum of the anticlockwise moment = sum of the clockwise moment

W(75 - 0) = 250(90 - 75)

W(75) = 250(15)

W(75) = 3750

W = 3750 / 75

W = 50 g

Therefore, the mass of the meter rule is 50 g.

PLS HELP ME
I NEED HELP ASAP

Answers

Answer:

In order to find average velocity we use the equation: [tex]avg = \frac{change \: in \: x}{change \: in \: time} [/tex]She went from 4.0m to 16.0 m making her delta x = 12.0 m She did that in 4sHence 12/4 = 3 m/s

4) Bunny pushes on Monkey to the right with a 95N force while Deer pushes on Monkey Tom Lee
with a 75N force. Monkey weighs
50N.

Answers

Answer:

-30N to the left

Explanation:

Step one:

Given data

the mass of the monkey is 50N

Step two:

Required is the net force acting on the monkey

Now to the right Bunny is applying 95N,

Deer pushes on Monkey Tom Lee

with a 75N the net force acting on the monkey to move it is

= 95-50-75= -30N to the left

the other user said:

-30N to the left

Why would the solstice be important to
an ecosystem?

Answers

Answer:

marks an important milestone. It's the shortest day of the year and the longest night of the year, and signals a powerful transition point between seasons that is impossible to ignore. ... In Pagan times the winter solstice was referred to as Yule and was a celebration of the Goddess (Moon) energy

Explanation:

WILL GIVE BRAINLIEST
Lila is a track and field athlete. She has to complete four laps around the track, which is 400 meters. The race took her 6 minutes to complete. What is her average speed to the first decimal point in m/s?

Answers

Answer:

4.44m/s

 

Explanation:

Given parameters:

Number of laps  = 4

Length of track  = 400m

Time taken  = 6min

Unknown:

Average speed  = ?

Solution:

The average speed is the total distance covered divided by the time taken.

It is mathematically expressed as;

  Average speed  = [tex]\frac{total distance}{time taken}[/tex]  

Total distance  = number of laps x length of track  = 4 x 400  = 1600m

Now convert the time to seconds;

         60s  = 1 min

             6 minutes will be 6 x 60 = 360s

So;

  Average speed  = [tex]\frac{1600}{360}[/tex]  = 4.44m/s

 

  URGENT )If you drive your 1,000 kg car from sea level up to the mountain, which is 366 m above sea level, how much will you have increased your car's potential energy?(consider : g=10m/s2)

1 point

a) 366,000 J

b) 3,660,000 J

c) 2.73 J

d) 20.73 J​

Answers

Answer:

(B) the increase in the car's potential energy is 3,660,000 J

Explanation:

Given;

mass of the car, m = 1,000 kg

height through the car was drove, h = 366 m

acceleration due to gravity, g = 10 m/s²

The increase in the car's potential energy is calculated as;

P.E = mgh

P.E = 1000 x 10 x 366

P.E = 3,660,000 J

Therefore, the increase in the car's potential energy is 3,660,000 J

how does a plane mirror work

Answers

Answer:

Plane mirrors work because the light rays create a virtual image behind the mirror. Light rays from the object strike the mirror and reflect according to the law of reflection. ... Therefore, our eye and brain track the light rays backward to a position from which they appear to have come.

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Help me please what should I do 6th grade math ok thanks 2x-20 solve for x in an equilateral triangle 1) back at basketball practice, Haley's coach is impressed with the improvement in her scoring ability over the past month. She went from scoring 12 points per game last month to scoring 18 points per game this month. He exclaims, "Haley, you have made a 100% improvement in your average points per game!" a. If Haley increased her average points per game by 100%, how many points per game would she be scoring this month? b. If she had increased her average points per game by 25%, how many points would she be scoring this month? d. What portion of her points per game for last month does that increase represent? By what percent did Haley improve her average points per game?P.S I did c ""The places, social context of characters and atmosphere can be used to cover the term "plot Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size he has. Diego then took all the bottles of the most common size and poured the water into a container. How much water is in the container? A gaseous mixture of 1.0 mol of 12 and 1.0 mol of H2 was placed in an empty vessel that has avolume of 2.0 L. The system was allowed to reach dynamic equilibrium at 300C.a) State briefly what happened to the initial concentration of 12 and H2 as the reaction reachesequilibriumb) Does the reaction stoop at equilibrium? Why? The dot plot shows the number of raffle tickets bought by each person.Number of Raffle Tickets BoughtA dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.Where is the peak of the dot plot?1356 Why did Stalin reorganise farming in the USSR? Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1) Given f(x) = 5(2 - x), what is the value of f(-3) ? Find m1. Then classify the triangle by its angles. Which was a trading partner of the Indian Ocean Complex? HELP NEED ANSWER ASAP DUE 8:30 When Pope Gregory IX rose to power, what domestic animal did he order to exterminate across Europe in the belief that they were used in devils worship and witch craft? Number of Tickets, X 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25 What do aerobic and anaerobic mean and which one is cellular respiration? One of the Federalist concerns before Jefferson was elected President was that he would bring about a reign of terror to the United States. Did Jefferson bring a reign of terror? Why or Why not? c. 3 bananas cost $0.99. At this rate, how much do 5 bananas cost? Explain how you know. why it is necessary to maintain personal hygiene for a kitchen personnel. Does anyone have the classification lab worksheet. I need help with it