Periodic Motion Problem, how to tackle this beast?

Answers

Answer 1
You can see the periodic motion as the projection over the diameter of a point moving with a circular motion.

The Amplitude will be the radius of the circumference and ω is the angular frequency (or speed) for both motions.

In the periodic motion, you will have maximum velocity at the center and it will be zero at the extremities, where the projection changes direction, while the acceleration will be maximum at the extremities and zero at the center.

The displacement will then be:
x(t) = A · cos(ωt)
And from this (using a little bit of calculus):
v(t) = A · ω · sin(ωt)
a(t) = A · ω² · cos(ωt)

Related Questions

April stands on a flat surface. If she has a mass of 72 kg, what is the normal force acting on her?

Answers

IF she is on or near the surface of Earth at the time, then ...

... Her WEIGHT is  (mass) (gravity) = (72 kg) (9.8 m/s²) = 705.6 Newtons

... The surface under her feet exerts a normal force, upward,
against her feet.

... If the upward normal force is NOT 705.6 Newtons, then the
NET force on the bottom of her feet is not zero, and her feet are
accelerating, either up or down.

... But she is just standing there, not accelerating either up or down.

... Therefore, the NET force on the bottom of her feet must be zero.

... The normal force acting upward against her feet must be exactly
equal to her weight ... 705.6 Newtons.

Answer: 706

Explanation:

Which component of earth's motion causes the stars to rise earlier on successive nights?

Answers

There is just one component that makes the stars rise earlier on seccessive nights, this component is its's orbit around the sun. Hope it was helpful.
Peace✌️

Consider a situation where you are playing air hockey with a friend. The table shoots small streams of air upward to keep the puck afloat and to reduce friction. The puck moves horizontally due to

Answers

Final answer:

The puck moves horizontally in air hockey due to Newton's first law of motion, which states that an object in motion stays in motion unless acted upon by an external force. The streams of air shooting upward on the table minimize friction and keep the puck afloat.

Explanation:

The puck moves horizontally in the game of air hockey due to Newton's first law of motion, also known as the law of inertia. According to this law, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction, unless acted upon by an external force.

When the air is on in the air hockey table, it reduces the friction between the puck and the table, allowing the puck to glide smoothly across the surface. The small streams of air shooting upward help keep the puck afloat and minimize contact with the table.

The downward weight or gravitational force acting on the puck does not affect its horizontal motion because it is balanced by the normal force exerted by the table.

Learn more about Newton's First Law of Motion here:

https://brainly.com/question/974124

#SPJ12

When a battery is connected to a lightbulb properly, current flows through the lightbulb and makes it glow.

How much current flows through the battery compared with the lightbulb?

More.
Less.
The same amount.
No current flows through the battery.

Answers

Answer: The same amount.  
In a single loop, the current is the same at each point in the loop.

which country is bordered by both ecuador and venezuela

A. colombia

B. guyana

C. french giana

D. suriname

Answers

The answer is A.

Columbia is country situated in the northwest of South America. Colombia shares a border to the northwest with Panama, to the east with Venezuela and Brazil and to the south with Ecuador and Peru. Colombian territory also encompasses Pacific coastlines in the west.

the corect answer is a

Objects in space __________. question 12 options: require energy to move because they have mass do not require energy to move because there is no gravity stop on their own move on their own

Answers

I think it's:
they do not require energy to move because there is no gravity.
hope it helps.

Which of the following would double the amount of current flowing through a piece of metal wire?

Answers

Considering the answers.
1. Halve the voltage across it
2. Quarter the voltage across it
3. Double the voltage across it
4. Quadruple the voltage across

The appropriate answer would be 3. Double the voltage. According to ohms law the current through a conductor between two points is directly proportional to the voltage across the two points at a constant resistance. Therefore a increase in voltage causes a corresponding increase in the current.

an airplane starts at rest and accelerates down the run way for 20 s. at the end of the run way, its velocity 80 m/s north whats it acceleration??

Answers

acceleration = final velocity / time

acceleration = 80m/s / 20s

acceleration = 4 m/s^2

A box of mass 50 kg is pushed hard enough to set it in motion across a flat surface. Then a 99-N pushing force is needed to keep the box moving at a constant velocity. What is the coefficient of kinetic friction between the box and the floor? 0.23 0.18 0.20

Answers

The box is kept in motion at constant velocity by a force of F=99 N. Constant velocity means there is no acceleration, so the resultant of the forces acting on the box is zero. Apart from the force F pushing the box, there is only another force acting on it in the horizontal direction: the frictional force [tex]F_f[/tex] which acts in the opposite direction of the motion, so in the opposite direction of F.
Therefore, since the resultant of the two forces must be zero,
[tex]F-F_f=0[/tex]
so
[tex]F=F_f[/tex]

The frictional force can be rewritten as
[tex]F_f = \mu m g[/tex]
where [tex]m=50 kg[/tex], [tex]g=9.81 m/s^2[/tex]. Re-arranging, we can solve this equation to find [tex]\mu[/tex], the coefficient of dynamic friction:
[tex]\mu = \frac{F}{mg}= \frac{99 N}{(50 kg)(9.81 m/s^2)} =0.20[/tex]

All waves on the electromagnetic spectrum travel at the same speed in a vacuum. The speed of these waves in a vacuum is 3x10 8 m/s. As the wavelength of a wave doubles, how does the speed and frequency of the wave change?

Answers

Final answer:

When the wavelength of a wave doubles, its speed remains the same, while its frequency halves.

Explanation:

According to the information provided, all waves on the electromagnetic spectrum travel at the same speed in a vacuum, which is the speed of light, approximately 3 × 108 m/s. When the wavelength of a wave doubles, its frequency halves while its speed remains the same. This is because the product of the wavelength and frequency of a wave is equal to the speed of the wave, which is a constant in a given medium.

For example, if we have an electromagnetic wave with a wavelength of 2 meters and a frequency of 150 MHz (1 MHz = 106 Hz), its speed would be (2 m)(150 × 106 Hz) = 3 × 108 m/s. If the wavelength doubles to 4 meters, the frequency would halve to 75 MHz, but the speed would remain 3 × 108 m/s.

In summary, as the wavelength of a wave doubles, its speed remains the same, while its frequency halves.

The usual motion of the planets against the background of stars is_________ to _____ motion.

Answers

This is the answer➡️ Is faster to orbital motion. Hope it's helpful. Peace✌️

The Sun has a major impact on climate. This can be seen by comparing _____. the East and West coasts tropical and polar climate zones atmospheric and oceanic circulation the North and South poles

Answers

Tropical and Polar climate zones.

Answer: Option (2)

Explanation: Sun plays a vital role in controlling the earth's climatic condition. Our earth is slightly tilted and the incoming solar radiations are directly incident on the equatorial and the tropical region, due to which it experiences a relatively high temperature.

             But as we move towards the higher latitude, we observe that the temperature frequently drops down. It is because the radiations from the sun needs to travel a longer path through the atmosphere, which gets scattered or absorbed, thereby making it difficult to reach the poles. So the polar regions are cold enough due to less sunlight.

                 Therefore, the earth shows maximum temperature at the equatorial region and minimum temperature at the poles.

A blu-ray disc rotates counterclockwise and speeds up at a constant rate. how does the tangential acceleration of point p compare to the tangential acceleration of point q?

Answers

The figure of the problem is missing.

However, we can solve it this way. First of all, every point of the disk has the same angular acceleration, which is the rate of variation of the angular velocity in time. In fact, the disk rotates coherently, therefore all the points cover the same angle during the same time interval.

Then, the tangential acceleration of a generic point on the disk is related to the angular acceleration [tex]\alpha[/tex] by the following relation:
[tex]a_{tan} = \alpha r[/tex]
where r is the distance of the point from the center of the disk.

Therefore, if we call [tex]r_P[/tex] the distance of point P from the center and [tex]r_Q[/tex] the distance of point Q from the center, we can find the ratio of the tangential accelerations between the two points:
[tex] \frac{a_{tanP}}{a{tanQ}} = \frac{r_P \alpha}{r_Q \alpha} = \frac{r_P}{r_Q} [/tex]

So, the larger is the distance of the point from the center, the larger is the tangential acceleration.

Which lists imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst?

A. CT scan, MRI, X-ray imaging

B. X-ray imaging, CT scan, MRI

C.CT scan, X-ray imaging, MRI

D. MRI, X-ray imaging, CT scan

Answers

Answer:

CT scan, X-ray imaging, MRI

Imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst is X-ray imaging, CT scan, MRI. Hence option B is correct.

What is Resolution ?

Image resolution. Image resolution refers to the density of pixels in an image, expressed as Pixels per inch. This shouldn't be confused with image dimension, which is expressed as a measurement of the number of rows and columns of pixels an image contains, such as 640x480.

Screen resolution. Display resolution or screen resolution expresses how many pixels are present in a display or entire screen. A given display will have a maximum resolution that depends on its physical ability to focus light. For example, a 15-inch 640x480 monitor will display approximately 50 dots per inch. A smaller display would have more PPI.

The highest resolution of X-ray is 11–13 nm. In the longitudinal dimension resolution of CT scan is up to 200 μm is achievable. The highest resolution of MRI is 1 millimeter. Hence option with X-ray, CT scan and MRI in order is correct from best to worst resolution.

Hence option B is correct.

To know more about resolution :

https://brainly.com/question/30753488

#SPJ3.

Jed drops a 18 kg box off of the Eiffel tower. After 6.1 seconds, how fast is the box moving (neglect air resistance.)

A. 1100 m/s
B. 78 m/s
C. 180 m/s
D. 3.3 m/s
E. 60 m/s

Answers

The box fall with acceleration 10m/s2 due to gravity

velocity/ 6.1 = 180
velocity = 1098 m/s

the answer is A.

Answer:

Speed, v = 60 m/s

Explanation:

Given that,

Mass of the box, m = 18 kg

Time, t = 6.1 seconds

Initially the box is at rest, u = 0

Let v is the final speed of the box i.e. after 6.1 seconds. We can calculate it using first equation of motion as :

[tex]v=u+at[/tex]

Here, a = g

[tex]v=gt[/tex]

[tex]v=9.8\times 6.1[/tex]

v = 59.78 m/s

or

v = 60 m/s

So, after 6.1 seconds, the box is moving with a speed of 60 m/s. Hence, this is the required solution.

A/an______is a pure substance made of atoms that are all of the same type

1 proton
2 compound
3isotope
4element

Answers

An element is a pure substance made of atoms that are all of the same type.

If 9.5 waves break on a beach in 1.0 minute what is the frequency answer

Answers

Given data:

Number of waves = 9.5
Time = 1.0 minute

First, as frequency is (1/s), we need to convert time into seconds:
Time = 1.0 minute =  60 seconds.

Frequency of 9.5 waves = 9.5 / 60 = 0.158 Hz ≈ 0.16 Hz

So the answer is: 0.16 Hz!

-i

when preparing an emergency supply kit for a family, which is the minimun number of days the supplies shoulds last

2

3

7

30

Answers

i think seven is correct.

Answer

3 is correct!! THREE days

Explanation:

Trust me!!

Calculate 8 ∙ 10-4 divided by 2 ∙ 102.

Answers

8 * 10 - 4 
= 80 - 4
= 76

2 * 102 = 204

76/204 = 19/51

Hope this helps!

Explanation :

Here, [tex]8\times 10^{-4}[/tex] is numerator and [tex]2\times 10^{2}[/tex] is the denominator.

Two numbers are given i.e.

[tex]n_1=8\times 10^{-4}[/tex]

[tex]n_2=2\times 10^{2}[/tex]

We have to divide these two numbers.

[tex]\dfrac{n_1}{n_2}=\dfrac{8\times 10^{-4}}{2\times 10^{2}}[/tex]

[tex]4\times 10^{-6}[/tex]

Hence, this is the required solution.                  

Mass affects/does not affect the conservation of energy?

Answers

It itself to increased or decrease to total momentum at any moment it will be same.

A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.

What is the distance of the image from the lens? Round your answer to three significant figures. ____ cm
What is the height of the image? Round your answer to three significant figures? ____ cm

Answers

Answer:

Image distance, v = 22.5 cm

Height of the image, h' = 6.5 cm

Explanation:

It is given that,

Height of the object, h = 5 cm

Object distance, u = -18 cm

Focal length of the lens, f = +10 cm

Using mirror's formula :

[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{(-18)}[/tex]

v = 22.5 cm

Magnification of the lens :

[tex]m=\dfrac{v}{u}=\dfrac{h'}{h}[/tex]

[tex]h'=\dfrac{v}{u}h[/tex]

[tex]h'=\dfrac{22.5\ cm}{-18\ cm}\times 5[/tex]

h' = -6.5 cm

Hence, this is the required solution.

Answer:

22.5  and 6.25

Explanation:

A 63 kg gymnast climbs 15 m up a vertically hanging rope. He completed the distance in 70 seconds. How much power did his body output to achieve the climb?

Answers

The work required is equal to the potential energy when he's at the top. This is given by 

[tex]E=mgh=63kg \times 9.8 \frac{m}{s^2} \times 15m=9261J[/tex]

The power is this energy divided by the time it took to do the work

[tex]P= \frac{E}{t}= \frac{9261J}{70s} =132.3W[/tex]

Answer:b

Explanation:

hope it helps

A positively charged ion will bond with
A) a negatively charged ion.
Eliminate
B) a neutral atom.
C) another positively charged ion.
D) nothing else.

Answers

Answer: A

 A positively charged ion will bond with negatively charged ion. This interaction is called ionic bonds, where ions can form a compound. However, not all compounds are ionic, but each elements on the periodic table is capable of forming an ion. Atoms form ions when they either take up or release electrons in order to fill their outer shell. Positive ions are called cations that are typically metals like copper or sodium. Meanwhile, negatively charged ions are anions, made from nonmetallic elements like oxygen and sulfur.

The answer is A

Hope that helps. =)

Why does the sample on a microscope slide need to be very thin?

A. so it can fit on the stage of the microscope

B. so light can shine through it from below

C. so it can be seen with a diverging lens

D. so the eyepiece lens can be focused properly

Answers

B. so light can shine through it from below.

The sample on a microscope slide need to be very thin because light can shine through it from below.

What are the term thin of microscope?

Histology has to do with the study of tissues. Sectioning has to do with cutting very thin slices of objects.

Thus, histological sectioning is an act of cutting very thin slices of tissues for the purpose of mounting such on microscope slides. To enhance views and differentiate different parts of cells, sections of tissues are often stained.

For anything to be seen it must either emit light or reflect light. When you look at the functioning of a microscope you will notice that when you put specimen under the microscope, you need an external light source to illuminate the specimen. For this purpose a light source is placed right under the specimen holder.

For the specimen to be visible clearly the slide is made transparent so that it is backlight by the light and easily visible in the microscope.

Hence, Option B is the correct answer.

Learn more about the microscope,

https://brainly.com/question/11499048

#SPJ2

In a shuffleboard game, the puck slides a total of 12 m before coming to rest. if the coefficient of kinetic friction between the puck and the horizontal board is 0.34, what was the initial speed of the puck?

Answers

The frictional force is given by
[tex]F_f = mg \mu_D[/tex]
where m is the mass of the puck, [tex]g=9.81 m/s^2[/tex] and [tex]\mu_D=0.34 [/tex] is the dynamic coefficient of friction.

The work done by this force to stop the puck is
[tex]W=F_f d [/tex]
where [tex]d=12 m[/tex] is the total displacement of the puck.

The initial kinetic energy of the puck is
[tex]K= \frac{1}{2} mv^2 [/tex]
with v being the puck initial velocity. The puck comes to rest after 12 m, this means it loses all its kinetic energy, and for the principle of conservation of energy this loss of energy is equal to the work done by the frictional force. So we can write
[tex]K=W[/tex]
[tex] \frac{1}{2} mv^2 = mg\mu_D d [/tex]
and from this we can find the inizial velocity of the puck:
[tex]v= \sqrt{2 g \mu_D d}= \sqrt{2(9.81 m/s^2)(0.34)(12 m)}=8.95 m/s [/tex]

Everyday lifestyle choices affect your physical fitness. Please select the best answer from the choices provided. T F

Answers

Answer:
True

Explanation:
Physical fitness is defined as the health state of the body and its ability to carry on with the daily occupation as well as sports.
The everyday lifestyle affects this physical fitness, in case you are not used used to "moving" in your daily life, your body will be sort of lazy and lack the power and ability to carry on with the daily occupation as well as sports.
In case your daily lifestyle involved motion, your body will be used to doing activities which will help improve your physical fitness.

Hope this helps :)

Answer:

Itzz True me childern

Explanation:

Which statements best describe science? Check all that apply. A)Science uses beliefs and opinions to construct explanations. B)Science is resistant to new information. Science is supported by facts and processes. C)Science involves observation and experimentation. D)Science continually changes and is constantly updated.

Answers

Answer:

Science is supported by facts and processes.

Science involves observation and experimentation.

Science continually changes and is constantly updated.

Options A, C, and D are statements best describe science. Another approach to defining science is that it is the information gained through experience.

What is science?

Science is knowledge about the physical world and the things that occur within it. It is an objective observation that explains nature's fundamental rules.

The statements best describe science will be;

A)Science is supported by facts and processes.

C) Science involves observation and experimentation.

D) Science continually changes and is constantly updated.

Hence options A, C, and D are statements best describe science.

To learn more about the science refer to the link;

https://brainly.in/question/12290430

#SPJ3

_____ means to put off exercise.

procrastinate

vigorous activity

physical fitness

skill-related fitness

Answers

The answer is procrastinate.

The clue to the answer is in the question, which is "put-off." The word "put-off," in the context of the sentence means to delay or postpone. Now to delay or to postpone an action is the definition of procrastinate.

Answer: Option (a) is the correct answer.

Explanation:

Meaning of procrastinate is to delay or avoid anything in order to not complete a task.

For example, a student procrastinate's him homework by playing with his friends and cousins.  

Whereas vigorous activity means to do an activity enthusiastically. Physical fitness means to a person who is physically fit.

On the other hand, skill related fitness means to be able to complete a work with perfection. For example, a woman skilled in embroidery makes beautiful designs on cloths using embroidery threads and needle.

Thus, we can conclude that procrastinate means to put off exercise.


You drop a 30 g pebble down a well. You hear a splash 2.7 s later. Ignoring air resistance, how deep is the well? Assume g = 9.8 m/s2.
a- 0.79 m

b- 36 m

c- 71 m

d- 790 m

Answers

I will assume here that the well is sufficiently short so that the time the sound takes to come from the bottom of the well to our ear is negligible.

Since the pebble moves by uniformly accelerated motion, the distance it covers is given by
[tex]S= \frac{1}{2}gt^2 [/tex]
where 
[tex]g=9.81 m/s^2[/tex] is the gravitational acceleration
[tex]t=2.7 s[/tex] is the time the pebble takes to reach the bottom of the well

Therefore, the depth of the well is
[tex]S= \frac{1}{2}(9.81 m/s^2)(2.7 s)^2 = 35.7 m \sim 36 m [/tex]
and the correct answer is B.

Imagine that you have a 6.50 l gas tank and a 4.50 l gas tank. you need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. if you fill the larger tank with oxygen to a pressure of 155 atm , to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? assume ideal behavior for all gases. express your answer with the appropriate units.

Answers

Final answer:

Given the scenario and assuming ideal gas behavior, to ensure both gases run out at the same time, you should fill the acetylene tank to a pressure of approximately 224 atm.

Explanation:

For gases behaving ideally, the pressure, volume, and temperature are related by the Ideal Gas Law (PV = nRT). However, in this problem, we assume temperature and gas constant are the same for both gases. Hence, the amount of gas (in moles) is directly proportional to the product of pressure and volume (PV).

Now you want to calculate the pressure in the acetylene tank that ensures both gases run out at the same time. Since both gas tanks will be opened for the same timeframe, the amounts of each gas in moles used will be the same. Hence, the products of pressure and volume will also be equal for both tanks (PV of oxygen tank = PV of acetylene tank).

In other words, (Pressure of oxygen) x (Volume of oxygen) = (Pressure of acetylene) x (Volume of acetylene). By inserting given values for oxygen (Pressure = 155 atm, Volume = 6.50 L) and the volume of acetylene (4.50 L), you can solve for the pressure in the acetylene tank.

From this equation, Pressure of acetylene = (Pressure of oxygen) x (Volume of oxygen) / (Volume of acetylene) = 155 atm x 6.50 L / 4.50 L = 223.88 atm.

Therefore, to ensure you run out of both gases at the same time, you should fill the acetylene tank to a pressure of approximately 224 atm.

Learn more about Ideal Gas Law here:

https://brainly.com/question/30458409

#SPJ3

Other Questions
Two U.S. Senators are guests on a TV news interview program. One is introduced as Senator Susan Hartford, Conservative Leader, and the other is introduced as Senator Howard Williams, focus of an ongoing corruption investigation. These introductions indicate bias in favor of Senator Williams symbolism in favor of Senator WIlliams bias in favor of Senator Hartford symbolism in favor of Senator Hartman The graph of the function g(x) is shown on the coordinate plane below. For what value of x does g(x)=0 Two liquids, 1 and 2, are in equilibrium in a u-tube that is open at both ends. the liquids do not mix, and liquid 1 rests on top of liquid 2. what is the ratio 1/2 of the densities? An even function must always have what characteristic?A)rotation symmetry about the originB)be a polynomial with even exponents on xC)a line of symmetry on the x-axisD)a line of symmetry on the y-axis Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A When doing a ________ for the purposes of career planning, you should take your skills and interests into account? Why are infants and preschool-age children at higher risk for contracting a foodborne illness? ____ ritmo favorito es le cha-cha-cha.(de nosotros) adjective form in parenthles how long is the growing season for Nigeria The term industrial revolution refers to far reaching changes in the methods used in manufacturing. a. True b. False what is the answer t 3a equals 9 They made her a grave, too cold and dampFor a soul so warm and true;And shes gone to the Lake of the Dismal Swamp,Where, all night long, by a fire-fly lamp,She paddles her white canoe.And her fire-fly lamp I soon shall see,And her paddle I soon shall hear;Long and loving our life shall be,And Ill hide the maid in a cypress tree,When the footstep of death is near. Identify the rhyme scheme and metrical pattern of this poem.The rhyme pattern is ABBAB and the meter is trochaic.The rhyme pattern is ABAAB, and the meter is iambic.The rhyme pattern is ABAAB and there is no meter.The poem is written in free verse without rhyme or meter. This command was used to create a table: create table vehicletype (carid integer primary key, typeofvehicle text, manufacturer text,year integer); at least 25 rows have been inserted with different types of vehicles (truck, sedan, suv, sport) and manufacturer (chevrolet, ford, toyota, etc.), and year the vehicle was manufactured. what would be the result of this command: select * from vehicletype where typeofvehicle An increase in which aspect of American life during the years after world war I led ro the revival of the ku klux klan? Luis wants to buy a home priced at $315,000. He plans to finance this amount less the down payment required. His mortgage payment would then be $2100. Luis has an annual income of $91,500 and $65,000 in savings. Luis has a car payment of $370, a student loan payment of $165 and a credit card payment of $45. Use a 20% down payment and the 28/36 ratio to determine if Luis is eligible for a loan. What would you advise him to do if he is not eligible? the main thing that keeps a protagonist reaching for his or her goal is:a.) rising actionb.) complicationsc.) climaxd.) conflict What were two long-term effects of the Black Death on European society? The nobles in the countryside lost some of their power. Trade activities in Europe suffered as many people died. Merchants, peasants, and craftsmen grew more prosperous. There were no strong kings, and nations collapsed in wars. There was a surplus of labor but no available jobs. Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy will each friend get?Write your answer as a mixed number in the form a b/c. Dylan works 30 hours a week. His hours are decreased by 20%. How many hours does he now work each week? Describe the energy transformations that occur from the time a skydiver jumps out of a plane until landing on the ground.