A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.

Answers

Answer 1

The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Angular speed of the automobile

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

Maximum velocity

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

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Related Questions

What does the area of an acceleration time graph represent?

Answers

The area under the acceleration time graph represents change in velocity


The graph is plotted with acceleration on the vertical axis and time on the horizontal axis. The area under such graph represents change in velocity

The area of an acceleration- time graph represents the change in velocity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The formula for acceleration is;

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

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of a ball

Hence the area of an acceleration- time graph represents the change in velocity.

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When going 70 mph, it takes how many feet to stop, including reaction time

Answers

Answer:

Speed: 70 mph

Reaction Distance: 103 feet

Breaking Distance: 245 feet

Explanation:

Lightning always follows
(a) a thunder
(b) rain pour
(c) the easiest path
(d) a straight path

Answers

Answer:

a thunder

Explanation:

It's because the difference in speed of light and sound

Light has speed about 3×10^8m/sSound has speed 344m/s

So we hear thunder later

Answer:

C

Explanation:

Lightning is a giant spark. A single stroke of lightning can heat the air around it to 30,000 degrees Celsius This extreme heating causes the air to expand at an explosive rate. The expansion creates a shock wave that turns to a booming sound wave, better known as thunder. Thunder & lightning occur at roughly the same time, although u see the flash of lightning before u hear the thunder. This is because light travels much faster than sound.Lightning always follows the easiest path. Lightning strikes buildings or projecting objects such as trees, poles, wires or building than larger, flatter surfaces because the material in them provide easier paths to the ground than the other. The primary target of lightning are lone buildings.

Therefore, Thunder Follows The Easiest Part. And it is not (A) because Thunder Follows A Lightening Not Vice Versa.

Which statement explains how the charges on objects determine the electric force between them? (1 point)
O Objects with positive charges repel each other, and objects with negative charges attract each other
O Objects with the same charge attract each other, and objects with opposite charges repel each other
O Objects with positive charges attract each other, and objects with negative charges repel each other.
O Objects with the same charge repel each other, and objects with opposite charges attract each other

Answers

Objects with the same charge repel each other, and objects with opposite charges attract each other

Effect of similar charges on each other

According to Coulomb, the electric force for charges at rest has the following properties: Like charges repel each other; unlike charges attract. Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges.

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7. An object with a mass of 2.0 kg is accelerated from rest. The above graph shows the magnitude of the net force
as a function of time. At t = 4.0 s the object's velocity is closest to which of the following?
a. 2.0 m/s
b. 4.0 m/s
C. 10 m/s
d. 13 m/s

Answers

The object's velocity accelerating from rest from the applied force and time is closest to 4 m/s.

Velocity of the object

The velocity of the object can be determied by applying Newton's second law of motion as shown below;

F = ma

where;

F is the applied forcem is the mass of the objecta is the acceleration of the object

The acceleration of the object is calculated as follows;

a = F/m

at time, t 4.0 s, the corresponding force = 2 N

a = 2/2

a = 1 m/s²

Velocity of the object is calculated as;

v = u + at

v = 0 + 1 x 4

v = 4 m/s

Thus, the object's velocity accelerating from rest from the applied force and time is closest to 4 m/s.

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What are the postulates of the KMT of gases?

Answers

The kinetic molecular theory (KMT) describes the behavior of ideal gases at the particle level. The five main postulates of the KMT are as follows: (1) the particles in a gas are in constant, random motion, (2) the combined volume of the particles is negligible, (3) the particles exert no forces on one another, (4) any collisions between the particles are completely elastic, and (5) the average kinetic energy of the particles is proportional to the temperature in kelvins. Created by Sal Khan.

A boy of mass 50kg runs a set of steps of total height of 10cm. Calculate the work done (g =10)

Answers

Answer:

Explanation:

w=F×S

F=mg

F =50×110

F=500N

S=0.1 m

W=500×0.1

W=50j

30. (a) What is the effect on the period of a pendulum if you double its length?
(b) What is the effect on the period of a pendulum if you decrease its length by 5.00%?

The answers are "(a) Period increases by a factor of 1.41 (2–√)(b) Period decreases to 97.5% of old period" but please include all of your work.

Answers

Let's know the formula

[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

So

[tex]\\ \rm\rightarrowtail T\propto \sqrt{l}[/tex]

Hence if length is doubled time period will be √2 times

√2=1.41 (Approximately)

#2

Decrease by 5% will decrease the time period 5/2=2.5%

So

It's

100-2.5=97.5% of old period

The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?




300 N right


100 N down


0 N up


200 N right

Answers

Answer:

200 N to the right

Explanation:

The 50 N forces cancel each other since they are opposing each other.

A light-year is a unit of measurement that would most appropriately be used to measure which distance?
a. Between two galaxies b. Between Earth and Jupiter c. Between Earth and the sun d. Between the moon and Earth

Answers

A light-year is a unit of measurement which is used to measure distance between the Earth and the sun.

What is Light year?

This is defined as the distance light travels in the time it takes the Earth to orbit the Sun.

It is also the distance a beam of light travels in a single earth year which is why option C was chosen as the most appropriate choice.

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Two horses pull horizontally on ropes attached to a tree stump each horse pulls with a force of F if the angle between the two ropes is 126° what's resultant force?​

Answers

Answer:

126 / 2 = 63 = angle between one rope and the direction of the resultant force

t = F cos 73 = .45 F      force on stump due to one horse

T = 2 t = .90 F       force on stump due to both horses - T would be the resultant of the two horses each pulling with force F

Given the velocity v= ds dt and the initial position of a body moving along a coordinate line, find the body's position at time t

Answers

For  the​ body's position at time t  is mathematically given as

s(t)=4.9t^2+5t+16

What is the​ body's position at time t

Generally, the equation for the velocity is mathematically given as

v=ds/dt

v=9.8t+5 as velocity

s=4.9t^2+5t+c

s(0)=16

16=c

s(t)=4.9t^2+5t+16

In conclusion the​ body's position at time t

s(t)=4.9t^2+5t+16

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The body position at the given time t is s = 4.9t² + 5t + 16 if the velocity v= ds/dt and the initial position of a body moving along a coordinate line.

What is the distance?

A numerical representation of the distance between two items or locations is called distance. A physical length or an approximation based on other considerations in physics or common usage can be referred to as distance.

We have:

[tex]\rm v = \frac{ds}{dt}[/tex]

[tex]\rm v = 9.8t+5[/tex]  is the velocity

[tex]\rm s = 4.9t^2+5t+c[/tex] is the speed

At t = 0 s(0) = 16

16 = c

[tex]\rm s = 4.9t^2+5t+16[/tex]

Thus, the body position at the given time t is s = 4.9t² + 5t + 16 if the velocity v= ds/dt and the initial position of a body moving along a coordinate line.

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The voltage across the secondary winding is 10,000 v, and the voltage across the primary winding is 25,000 v. if the primary winding has 200 coils, how many coils are in the secondary winding? 50 coils 80 coils 125 coils 500 coils

Answers

Answer: 80 coils

Explanation for 80 coils: voltage across the secondary winding is 10,000 V, and the voltage across the primary winding is 25,000 V. If the primary winding has 200 coils, how many coils are in the secondary winding...The voltage across the primary winding is 6000 V!

3. Describe comets and their orbits in the solar system.

Answers

Answer:

Comets have an extremely eccentric orbit around the Sun. They can travel hundreds of thousands of years through the solar system before returning to the Sun at perihelion. Comets, like all orbiting bodies, obey Kepler's Laws, which state that the closer they get to the Sun, the faster they move.

A comet is a dirty snowball many kilometers across that exists at a considerable distance from the Sun. However, when it gets closer to the Sun, the comet's surface warms up, causing its components to melt and vaporize, resulting in the comet's distinctive tail. The distance between the Earth and the Sun can be measured in comet tails.

What is current of 12 ohm? help me pleasee​

Answers

Answer:

Current for 12 ohms = 2.5

Explanation:

Ohm's Law:

Voltage = IR

Current = V/R

Resistance = V/I

Therefore, current = 30V/12 Ohms

30/12 = 2.5

So current for 12 ohms = 2.5

I hope this helps :>

HELP Due right now

A 1345-kg car moving east at 15.7m/s is struck by a 1923-kg car moving north. They stick together and move with a velocity of 14.5m / s at theta = 63.5 degrees Was the north-moving car exceeding the 20.1m / s speed limit?​

Answers

Answer:

so here the initial momentum was all in the X direction. This is Equalling the mass. I'm someone multiplied by visa one initial Equalling 1345 kilograms multiplied by 15.7 meters per second. This is Equalling 2.11 times 10 to the fourth kilograms meters per second. Now the car stick together and we can say that the final momentum is Equalling. I'm someone plus himself to multiplied by the final velocity. This is gonna be equal to 1345 kilograms plus 1900 23 kilograms. This is multiplied by 14 0.5 meters per second. And we find that the final month Thomas Equalling 4.74 times 10 to the fourth kilograms meters per second. Now the y component of the final momentum, we can say that he's sub final. Why would be equaling two 4.74 times 10 to the fourth kilograms meters per second? This would be equally rather multiplied by sign of 63.5 degrees. This is Equalling 4.24 times 10 to the fourth kilograms meters per second. By law, of the conservation of momentum. We can say that the Y component of the final momentum equals the why component of the initial momentum. This is equaling EMS up to visa to initial and be some to initial is found to be equal to the final. The white component of final momentum divided by the second cars mass and so this would be 4.24 times tend to the fourth kilograms meters per second, divided by M sub 2 1923 kilograms and this is giving us 22.0 meters per second. And of course this is greater than 20 whether 20.1 meters per second. And so we can say that yes, this car is exceeding the speed limit. 

Explanation:

mark me brainliest!!

Which of the following can be used to measure temperature accurately
Celsius
Fahrenheit
Kelvin
All of these are correct

Answers

Answer:

Any of those terms can be converted to either of the other terms, so either term is correct. People are accustomed to everyday temperatures in Fahrenheit. The ideal gas law specifies that

P V = N R T     where T is in Kelvin which is Celsius + 273 deg.

What is the length of a pendulum that has a period of 4. 89 seconds?

Answers

Hi there!

We can use the following equation for a simple pendulum:

[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]

T = Period (4.89 s)
L = length (? m)
g = acceleration due to gravity (9.8 m/s²)

Rearrange the equation to solve for L.

[tex]T^2 = 4\pi ^2 \frac{L}{g}\\\\L = \frac{gT^2}{4\pi ^2}[/tex]

[tex]L = \frac{(9.8)(4.89^2)}{4\pi^2} = \boxed{5.936 \frac{m}{s}}[/tex]

A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. The length of a pendulum that has a period of 4.89 seconds is 5.936 meters.

What is a pendulum?

A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. Pendulums are employed to govern the movement of clocks because the time interval for each full oscillation, known as the period, remains constant.

Given that the time period is 4.89 seconds, therefore, the length of the pendulum can be written as,

[tex]\rm T = 2\pi \sqrt{\dfrac{L}{g}}\\\\4.89 = 2\pi \sqrt{\dfrac{L}{9.81}}\\\\L = 5.936\ m[/tex]

Hence, the length of a pendulum that has a period of 4.89 seconds is 5.936 meters.

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What are radio isotopes??
Give one example of a radio isotope State one use too..

Don't spam.. ​

Answers

Answer:

An isotope is one of two or more species of atoms of a chemical element with the same atomic number and position in the periodic table and nearly identical chemical behavior but with different atomic masses and physical properties. In medicine, for example, cobalt-60 is extensively employed as a radiation source to arrest the development of cancer. Other radioactive isotopes are used as tracers for diagnostic purposes as well as in research on metabolic processes.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Those isotopes which are unstable due to the presence of extra neutrons in their nuclei and emit various types of radiations are called radioactive isotopes. The radiations emitted are in the form of alpha particles, beta particles and gamma rays.

For eg :- carbon,hydrogen and chlorine.

Hope it helps you!!

What will be the total resistance and current in a parallel circuit with a 15-volt battery and three 10-ohm resistors?

Answers

Hello!

Recall for resistors in parallel:
[tex]\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}[/tex]

We can begin by calculating the total resistance:
[tex]\frac{1}{R_t} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10}}\\\\\frac{1}{R_t} = \frac{3}{10}\\\\R_t = \frac{10}{3} = \boxed{3.333 \Omega}[/tex]

Now, we can calculate the current using Ohm's Law:
[tex]V = iR\\\\i = \frac{V}{R}[/tex]

V = Voltage of battery (V)
i = Current (A)

R = Resistance (Ω)

Plug in the given voltage and the total resistance we solved for.

[tex]i = \frac{15}{3.33} = \boxed{4.5 A}[/tex]

why is an iceberg more dense than a ship?

Answers

Answer:

icebergs float on water because ice is less dense than water. The same is true for a boat: a boat floats on water because, overall, it is less dense than the water.

Explanation:

9. Graph the following data on the graph, then use the graph to determine the half life of this
isotope.

Answers

The half life is the time taken for half the number of radioactive atoms originally present to remain. This is  the time that corresponds to exactly half of the original number of radioactive isotopes remaining in the system.

What is half life?

The half life is the time taken for half the number of radioactive atoms originally present to remain. We can plot the number of atoms against the time taken in a graph.

We can obtain the half life of the radioactive isotope from the graph by noting the time that corresponds to exactly half of the original number of radioactive isotopes remaining in the system.

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80 POINTS MARK BRAINLIEST this experiment is to see if water flows faster oit of a smaller can or a larger can. you will need: two cans (one quite small like a soup can and the other large, like a juice can.) follow these steps: remove the top of each can punch a hole in the side of each can, very close to the bottem, making sute the holes are equal in size. Cover each hole with a peice of tape, and place the cans next to the sink. b. put tje water in both cans, making sure the water is at the same level - different ampuns, but the same level. turn the cans so the holes are facing into the sink, and remove the tape at the time. answer these questions: do the streams of water shoot out at the same distance? why or why not? c. try the same experiment, but this time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment, but the time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment but this time fill the cans to thw top. what happens to the streams of water? ANSWER ALL PARTS​

Answers

The water present in the middle doesn't experience pressure as much as that experienced by water at the bottom. Pressure is more at bottom surface hence fluids flow from higher pressure to lower pressure. This is why the water rushes out from the bottom hole much faster than from the upper hole

A softball and a basketball start from rest and roll down an incline. Which ball reaches the bottom first?

Answers

Answer:

both

Explanation:

gravity is the same for both

A ball rolls down an inclined plane, starting from rest. if the total time it takes to reach the end of the inclined plane is t, how much time has elapsed when it is halfway down the incline 0.5t

An inclined plane is a straightforward device with a sloping surface that is used to lift heavy objects. When friction is taken into account, the force needed to move an object up an incline is less than the weight being raised. The needed force is closer to the real weight the higher the slope or incline.

The inclined plane is the most basic of all simple machines because nothing needs to move for it to function. In order to save effort, you have to move objects farther when using an inclined plane. A variety of techniques can be used to create an inclined plane. It can be as simple as a log leaning against a tree in the woods or a piece of wood placed on the edge of a stair.

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A 50,0 g silver spoon at 20.0°C is placed in a cup of coffee at
90.0°C. How much heat does the spoon absorb from the coffee to
reach a temperature of 89.0°C?

Answers

The heat capacity of the silver spoon at the given temperature difference is 817.65 J.

Heat capacity of the silver spoon

The heat capacity of theb silver spoon is the quantity of heat absorbed by the silver spoon. The heat capacity of the silver spoon at the given temperature difference is calculated as follows;

Q = mcΔθ

where;

m is mass of the spoonc is specific heat capacity of silver = 0.237 J/g⁰CΔθ is change in temperature

Q = 50 x 0.237 x (89 - 20)

Q = 817.65 J

Thus, the heat capacity of the silver spoon at the given temperature difference is 817.65 J.

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Complete the mechanism for the given reaction by adding the missing bonds, charges, nonbonding electrons, and curved arrows

Answers

The mechanism for the given reaction by adding the missing bonds, charges, nonbonding electrons, and curved arrows is as represented in the attached image.

Mechanism of Organic Reactions

The representation of an organic reaction mechanism typically includes designation of the overall reaction type (which may be substitution, addition, elimination, oxidation, reduction, or rearrangement), the presence of any reactive intermediates, the nature of the reagent that initiates the reaction, the presence of any catalysis as facilitated by a catalyst, and ultimately it's stereochemistry.

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The mechanism for the given reaction is depicted in the attached picture by adding missing bonds, charges, nonbonding electrons, and curved arrows.

What is organic reaction mechanisms?

The existence of any reactive intermediates, the nature of the reagent that begins the reaction, the presence of any catalysis as helped by a catalyst.

Finally the stereochemistry of an organic reaction mechanism are all included in the depiction of an organic reaction mechanism.

Hence the mechanism for the given reaction is depicted in the attached picture by adding missing bonds, charges, nonbonding electrons, and curved arrows.

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Hello people ~
Sound cannot travel through
(a) air
(b) water
(c) air
(d) vacuum​

Answers

Answer:

Vaccum

Explanation:

Sound travels through the particles of different matter In vaccum there is no air so no matter and so no particles .So sound can't travel through vaccum.

You can test it .

Take a speaker and keep it inside a bottle ,close it .You won't hear any sound

Please help me

Think about a time when you walked down an empty hallway
and heard the echo of your footsteps. Write what you think
caused the echo.

Answers

Answer:

Explanation:

There are a few conditions as mentioned:  "you walked down an empty hallway and heard the echo of your footsteps." So first thing is as you walk, your shoes touch the floor and make noises.  Those are sounds of your footsteps.  You are in a hallway so the sounds are trapped within the hallway.  It is empty so there is nothing like people who would block and absorb the sounds. With sounds bouncing around walls and floor of the hallway, they bounce back to the source: you. That is when you hear the echo of your footsteps.

A soft foam block of mass m slides without friction in the
positive x-direction with speed v. At time t = 0, a student briefly
pushes the block with a force probe in the positive x-direction. The
graph to the right shows the force probe's measurements as a
function of time during the push. Which of the following statements
is true about the block's momentum between t = 0 and t = t;?

Answers

The true statement about the blocks momentum is : The momentum of the block has increased by approximately 1/2 F₀t₁  ( B )

Change in Momentum

Given that the change in momentum is equivalent to the Area which is under the force time graph

where :

Area under the force time graph = 1/2 F₀t₁ . Therefore we can conclude that the momentum of the block has increased by an equivalent value of the are under the time graph.

Hence we can conclude that the true statement about the blocks momentum is The momentum of the block has increased by approximately 1/2 F₀t₁ .

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Attached below is the missing part of your question

missing options

The momentum of the block has decreased to zero at time t1. - AThe momentum of the block has increased by approximately 1/2 F0t1 - BThe momentum of the block has decreased by approximately 1/2 F0t1 - CThe change in momentum cannot be determined without knowing the distance by which the force probe compressed the block. - D

Which characteristic is common to the four outer planets in our solar system?.

Answers

They are all gas giants.

Answer: They Are all gas giants.

Explanation:

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City laws would fall under which level in the legal system?A. localB. stateC. federalD. county A crate of a apples that usually cost 40$ is on sale for 20$ off. what is the sale price for the crate of apples? Which object measures atmospheric pressure?a ballast tanka barometera thermometer 1. I / enjoy / play / sperts/ because / it / good / health Charlotte complains that a lot of turnover is coming from branches that used to be first american before the merger. She claims that the employees there were not used to so much oversight and had more authority. Based on this information, first american highly valued. I have a question about my sister BTW I'm 18 shes 19 lately my sister has been sitting on my lap for a while now when my parents aren't around, when i sit on the couch and i watch TV for like 2 hours and then my sisters says what u watching I say the Terminator 2 and we have a huge couch so much space and she just comes with her bag of chips and for some reason on her underwear and for no reason out of ALL THE SPACE SHE decides to sit on my lap the other also like 3 weeks ago i was sick i stayed home for school my parents aren't around cause there working my sister comes home from school i'm sleeping in my bed and she just walks right in and she lays down in my bed with me i was about to tell her to pis off but i didn't have any strength to do so so i woke up like 5 hours later she was still in my bed and i go sleep somewhere else the next day my parents have the day off since it's Sunday i tell them the situation about my sister's behavior and they don't believe me because she always has A in class shes very educational with everybody and stuff, i try to convince them into buying cameras but they say that is way to much money, so the very early the next day like 5 am she comes wakes me up by literally punching my face she told me why i accused her of her behavior, well we ended up fighting she b e a t up me because she knows everything she knew karate and she ended the fight by kicking my bals that was the end of me then for no reason while i was screaming because she hit me so hard she decided to kiss my lips to calm me down i guess so now i want to record her behavior with a phone but i don't have a phone, my sister is the boss when my parents aren't around i fight her she always end up beating me and my parents don't believe me what should i do The location of excess body fat can have a profound effect on health. 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