What is Accelerating: Definition and 669 Discussions

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.
Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes:

the net balance of all external forces acting onto that object — magnitude is directly proportional to this net resulting force;
that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to the object's mass.The SI unit for acceleration is metre per second squared (m⋅s−2,






m

s

2







{\displaystyle {\tfrac {\operatorname {m} }{\operatorname {s} ^{2}}}}
).
For example, when a vehicle starts from a standstill (zero velocity, in an inertial frame of reference) and travels in a straight line at increasing speeds, it is accelerating in the direction of travel. If the vehicle turns, an acceleration occurs toward the new direction and changes its motion vector. The acceleration of the vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers on board experience as a force pushing them back into their seats. When changing direction, the effecting acceleration is called radial (or orthogonal during circular motions) acceleration, the reaction to which the passengers experience as a centrifugal force. If the speed of the vehicle decreases, this is an acceleration in the opposite direction and mathematically a negative, sometimes called deceleration, and passengers experience the reaction to deceleration as an inertial force pushing them forward. Such negative accelerations are often achieved by retrorocket burning in spacecraft. Both acceleration and deceleration are treated the same, they are both changes in velocity. Each of these accelerations (tangential, radial, deceleration) is felt by passengers until their relative (differential) velocity are neutralized in reference to the vehicle.

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  1. P

    The speed of light with an accelerating observer.

    You are one light year away from Earth, at rest in Earth's frame of reference. A flash of light is emitted from Earth. You begin to accelerate toward Earth. Does it still take exactly one year for the light to reach you from the time it was emitted?
  2. S

    Accelerating to the speed of light

    Hey, I understand why if you watch someone they can never accelerate to the speed of light: their mass approaches infinity so the necessary impulse reaches infinity. But what about in the frame of reference of the person approaching the speed of light. They notice nothing unusual about their...
  3. B

    Pendulum in accelerating traincar

    Homework Statement A pendulum bob of mass m is suspended by massless thread of length l from the ceiling of a boxcar. The car undergoes constant acceleration a along a straight, level track. What, in the small angle approximation, is the oscillatory period tau of the pendulum? Homework...
  4. J

    Solving an Accelerating Car's Revolutions

    Homework Statement A car is coming to a top over a distance of 96m Vi = 20m/s r = 25cm find the intial angular velocity, angular acceleration, total revolutions Homework Equations w = v / r angular acceleration = change in w / t d = (Vi + Vf / 2) t The Attempt at a Solution...
  5. T

    Accelerating trajectories in relativity

    Hi I am trying to write a code to find the minimum time until a sphere of expanding light interacts with a set of N particles moving at speed. These particles are acted on by forces which remain constant over the time period. My problem at the moment is that these particles have a mass and...
  6. C

    Why Does the Pendulum Angle Calculation Show 60° Instead of 30°?

    Homework Statement The Attempt at a Solution Here my figure showing forces: SO here, Tcosθ = mg Tsinθ = mao so tanθ =ao/g = 1/√3 so θ = 30o, right? but it answer says its 60o
  7. D

    Does gravity stop accelerating objects once they are in contact with

    Does gravity stop accelerating objects once they are in contact with Earth's surface? If so, why?
  8. T

    What is the speed and acceleration of a motorcycle traveling up a curve at t=5s?

    Homework Statement A motorcycle is traveling at 1m/s when it is at A (x=0). If the speed is then increased at a=0.1m/s^2, determine the speed and acceleration at the instant t=5s. The curve that its traveling up is y=0.5x^2The Attempt at a Solution I assume that we need to take the...
  9. E

    Net Work Done by an Accelerating Brick

    Homework Statement A 12 kg brick moves along an x axis. Its acceleration as a function of its position is shown in Fig. 7-37. What is the net work performed on the brick by the force causing the acceleration as the brick moves from x = 0 to x = 5.2 m...
  10. R

    An accelerating sphere with a particle on it

    A smooth sphere of radius 'R' is made to translate in a straight line with a constant acceleration 'a'. A particle kept on the top of the sphere is released from there at zero velocity with respect to sphere. Find the speed of the particle with respect to the sphere as a function of the angle...
  11. S

    Can something keep on accelerating?

    Can something keep on accelerating?if d^2x/dt^2 can be regarded as acceleration, then what is d^3x/dt^3? if not? why not? constant acceleration = circular motion resolves it to be a infinite change of direction, however it does not answer the idea of magnitude.
  12. M

    Accelerating Platform, Tilting Object

    A cylindrical tin, full of water, is sitting on a platform. What is the maximum acceleration of the platform that will not cause the can to tilt? The dimensions of the tin are known. I'm unsure how to approach the question first off. My reasoning so far has been along the line of this...
  13. ?

    Constatly accelerating spacecraft

    This is not a homework problem. It is personal project of mine. Pleases help Say you have a spacecraft that for some advanced propulsion technology is able to accelerate at 1 gee or more indefinitely. This allows the crew walk around as in a gravity and, I think, permit slower than travel...
  14. T

    Work done in an accelerating frame.

    Homework Statement A man of weight W is in an elevator. The elevator accelerates vertically up at a rate a and at a certain instant has a speed V. The man then climbs a vertical ladder within the elevator at a speed v relative to the elevator. What is the man's rate of expenditure of energy...
  15. P

    Accelerating Protons in a Particle Accelerator

    Homework Statement Protons are being accelerated through a potential difference of 5,000 V in the gun of a particle accelerator. They must pass between two parallel deflecting plates that are 0.06 m long and 0.02 m apart with a potential difference between them of 1,500 V Homework...
  16. A

    Universe Expanding: Is Gravity a Consequence?

    As the universe expands... Is it that we are more on the surface of a balloon, so the expansion is similar for us as it is for our most distant material counterparts? If this is the case than is gravity a consequence of matter resisting time (since the ?big bang or something?) As we...
  17. Z

    Gravity - an accelerating frame paradox

    If the equivalence principle is true then it means that the Earth's gravity field is a constantly accelerating frame of reference. In any accelerating frame of reference the direction of acceleration is always opposite to the direction of attraction. That means that for all observers on the...
  18. H

    Block on an accelerating wedge

    Hello, Homework Statement A 45o wedge is pushed along a table with constant acceleration A. A block of mass m slides without friction on the wedge. Find its acceleration in y direction. (Gravity directed down, acceleration due to gravity is g)...
  19. G

    A charge accelerating between two plates

    Hi all, Suppose an alpha particle of 3.2 x 10-19 C accelerates from rest between two oppositely charged plates starting from the positive plate. The electric field between the plates is uniform equal to 39000N/C. The distance between the plates is 4.50 x 10-3m Does the alpha particle...
  20. D

    Solving the Mystery of Graviton & Einstein's Accelerating Frame Model

    Hi. I'm a sophomore level undergrad trying to understand General Relativity (and all of physics for that matter) with the currently insufficient tools I possess. I was reading Einstein's book, "Relativity", and when I came to the section that describes gravity as the apparent force that arises...
  21. P

    Spring system inside an accelerating box

    Homework Statement A mass m is resting at equilibrium suspended from a vertical spring of natural length L and spring constant K inside a box. The box begins accelerating upward with acceleration a. How much closer does the equilibrium position of the mass move to the bottom of the box...
  22. T

    Mass Spec Problem Accelerating potential difference ΔV is required to detect N2+?

    Homework Statement The image below shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio e/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference...
  23. R

    Radius of the path of an accelerating object in uniform Circular motion

    Homework Statement A 2 kg car travels in a flat circle. At a certain instant the velocity of the car is 24 m/s West and the total acceleration of the car is 9 m/s 2 at 53 degrees North of West. What is its radius? Answer in units of km. Homework Equations F=ma w=(2pi)/T a= w^2...
  24. G

    Accelerating universe - details and dispute

    "accelerating" universe - details and dispute I recently sent an email to several physics professors at CalTech and MIT with a question I have about Cosmology and only one professor (Walter Lewin) replied simply saying good luck! Its not so much of a question as it is a problem. I've talked to...
  25. S

    Finding tension in a cable of a accelerating lift

    A lift has mass 800 kg. It is moving upwards and has an accerleration of -0.1 ms-2. The lift is supported by a single cable. What is the tension in the cable? I get T = -7760 N (I'm taking up as negative), just checking what anybody else gets F = ma T + mg = -(-0.1)m T = 800(0.1...
  26. TheTank

    Accelerating Car Homework: Find Velocity After 1m

    Homework Statement A model car weighs 17N and is accelerated from rest by a 1cm diameter water jet moving at u=75m/s. Neglect all friction, find the velocity of the car after is has moved 1m. Homework Equations Reynold's \sum{\vec{F}}=\int_{CS}{\rho\vec{V}(\vec{V_{rel}}\cdot...
  27. H

    If I spin in circles, am I accelerating?

    Homework Statement If I spin in circles, in place, am I accelerating? Homework Equations If acceleration is a change in velocity, which is a vector quantity, does only a change in direction count as acceleration? The Attempt at a Solution
  28. D

    Calculating Jet Velocity with Kinematic Equations

    Homework Statement Mike is piloting a lear jet traveling at 203.6 m/s over a distance of 2395 meters. How fast will the jet be moving at the end of this acceleration?Homework Equations V = D/T? You need to incorporate one of the "kinematic equations" in order to solve. V=Vo + at X=1/2(Vo -V)T...
  29. J

    Accelerating sportcare - find time of acceleration

    Homework Statement A sportscar can accelerate uniformly to 120 mph in 30s. Its maximum breaking rate cannot exceed 0.7g. What is the minimum time required to go 0.5 mi assuming it begins and ends at rest? Homework Equations N/A The Attempt at a Solution Well, first I argued that...
  30. P

    'relativity' of radiation of uniformly accelerating charge

    I notice this question has been touched in a general physics thread, but the discussions there on relativistic aspects of the question seemed clearly misleading to me. My questions focus specifically on the view from different frames and the application of the principle of equivalence, so this...
  31. J

    Compression in Accelerating Springs.

    Suppose I have two masses with mass M each connected together by a spring with spring constant k like this: http://img827.imageshack.us/img827/4896/springs1.png Then I apply a force of F at both ends: http://img833.imageshack.us/img833/2562/spring2.png Then using Hooke's law F=kx, the...
  32. V

    Find the largest mass that can sit on an incline without accelerating

    1. Homework Statement A mass M1 = 10 kg rests on an incline of angle θ = 60deg. Find the largest M2 such that no accelerations occur. a picture of the problem: http://s861.photobucket.com/albums/ab174/alkaline262/?action=view&current=prob14.jpg 2. Homework Equations f=ma 3. The Attempt at a...
  33. C

    Block on a frictionless, accelerating, inclined plane

    Homework Statement A 2.0 kg block rests on a frictionless wedge that has a 60 deg incline and an acceleration \vec{a} to the right such that the mass remains stationary relative to the wedge. a) Draw the free-body diagram of the block and use it to determine the magnitude of the...
  34. S

    Uniformly accelerating charge and radiation

    Last night when i was bored, i googled some stuffs about radiation of accelerating charge and saw this http://www.mathpages.com/home/kmath528/kmath528.htm I don't understand the beginning of the article, what does the author mean by "stationary and accelerating" ? or "stationary" ?
  35. blainiac

    Accelerating ions using Van de Graaff help

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  36. R

    Calculating Electron Speed from Accelerating Potential

    Homework Statement Derive the equation that would allow you to calculate the speed of the electrons from the accelerating potential. Homework Equations Fnet=ma Ek=1/2mv^2 Ft=mv The Attempt at a Solution F=mv/t F=ma a=v/t ? I'm not even sure what it means by accelerating...
  37. M

    Constant velocity object catching up to an accelerating object

    Homework Statement A train pulls away from a station with a constant acceleration of 0.41 m/s2. A passenger arrives at a point next to the track 6.4 s after the end of the train has passed the very same point. What is the slowest constant speed at which she can run and still catch the train...
  38. S

    Lift via accelerating static air gas particles down?

    I’ve been reading about airfoil lift and have found it rather difficult to find an answer to this question. Is the lift generated by an airfoil primarily dependent on accelerating static air gas particles down?
  39. J

    Word problem for a bus travel and a boat accelerating

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  40. G

    Accelerating electrons giving off radiation

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  41. A

    Black holes and the accelerating expansion of the Universe

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  42. A

    How do you calculate a force of a object that is not accelerating

    I would like to know how to calculate the force of an object that is not accelerating, for example, If I were push on a wall, neither me or the wall would move because the net force would be zero, but how would I calculate the force if I am trying to put on the wall.(I do not want the net force)
  43. K

    Accelerating a Car: Min Time to Reach Speed v

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  44. A

    Are accelerating lines of simultaneity correct?

    Are accelerating lines of simultaneity correct?? This is an idea and question that I have been considering for a long time but put on hold while I sought a firmer grasp of the geometry of Minkowski spacetime graphs. My current understanding is this: Lines of simultanieity wrt inertial...
  45. P

    What is the total energy of a simple pendulum in an accelerating frame?

    Homework Statement A simple pendulum that consists of a mass m and a massless cord of length L is hanged on the ceiling of an elevator, which is intially at rest. The pendulum is performing a simple harmonic motion. The energy of the mass (Kinetic energy + potential energy with respect to...
  46. E

    Acceleration: is this accelerating?

    Which of the following objects is accelerating: 1. A motorcycle rounds a curve without changing speed. 2. A helicopter ascending straight upward without speeding up for slowing down. 3. A person jogging straight south at a constant speed. 4. A bus starts moving after waiting for a...
  47. E

    Acceleration: is this accelerating?

    Which of the following objects is accelerating: 1. A motorcycle rounds a curve without changing speed. 2. A helicopter ascending straight upward without speeding up for slowing down. 3. A person jogging straight south at a constant speed. 4. A bus starts moving after waiting for a...
  48. A

    Accelerating Wedges with Friction

    Homework Statement A block rests on a wedge inclined at an angle \theta. The coefficient of friction between the block and the plane is \mu.Let the wedge move with horizontal acceleration a to the right. Assuming that tan tan(\theta) < \mu, find the minimum value of a for the block to remain...
  49. A

    Integrating an accelerating Worldline

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  50. L

    Understanding the accelerating expansion of the universe based on redshift

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