What is Acceleration: Definition and 1000 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. Ahmed1029

    I Why are acceleration, jerk, etc not relative, just like velocity?

    I've been thinking about this for a while, and thought it would be nice if someone could guide me to an answer. In Newtonian mechanics, an inertial frame is coordinate system that's able to make measurements with respect to some imaginary axes attached to it. It's a well known fact that velocity...
  2. N

    Converting centrifugal acceleration to frequency

    I've calculated this. Is it correct? a=ω²R => ω=√(a/R) T(period)=1/ω=1 / (√(a/R)) f = 1/T = √(a/R) [ if a=10G=100 m/s² ; R=1m ] then: f = √(a/R) = √(100/1) = 10 hertz In angular velocity, can I just convert a=ω²R to ω=√(a/R) and write instead of ω=(2π)/T (in the first line)?
  3. H

    I Force due to acceleration and time flowing differently

    in special relativity we have moving reference frames resulting in a different flow of time in each reference frame. This we can explain because we use the fact that the speed of light is the same in all reference frames, leading to the Lorenz transformation giving the amunt of slowdown of time...
  4. Sphere

    B The value of the standard acceleration due to Earth's gravity

    Hello, I noticed while trying to calculate the stardart gravity acceleration of the Earth that I never arrived at the defined value of 9.80665 m/s2 no matter that I calculate it with the equatorial radius, the polar radius, mean radius or the average of the equatorial and polar radius. With what...
  5. Vladimir_Kitanov

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    Correct answer is (b) 0,620 ms2 My attempt: FBD Equation 1. ∑Fx=0=−ma−Wsin⁡(15)+f N=Wcos⁡15 f=Nμs=379,03N Equation 1. ma=f−Wsin⁡15 15a=379,03−203,1 a=2,20ms2 Equation 2. ∑MG=0=−Nx+f1,5 x=0,75m
  6. S

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  7. rsc9421

    A Power consumed by electron gun

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  8. Physicsphysics

    I Understanding Classical Mechanics: Acceleration

    I'm reading once again through Landau-Lifchitz and I am stuck on the first page! I can't wrap my head around why we only need to define the coordinates and velocities to determine the acceleration? Surely if we only know those two in a single point in time, that's not enough to determine an...
  9. bigmike94

    I Robert Adams textbook: Acceleration example

    I need a little guidance on how they got the last step to derive acceleration, I can follow up till there. Any help would be greatly appreciated as I find it hard to move on unless I have understood.
  10. WMDhamnekar

    I How Does Angular Velocity Affect Instantaneous Acceleration in Rotating Systems?

    Homework Statement:: Find the instantaneous acceleration of a projectile fired along a line of longitude (with angular velocity of ##\gamma##constant relative to the sphere) if the sphere is rotating with angular velocity ##\omega##. Relevant Equations:: None Find the instantaneous...
  11. C

    I Acceleration as a Function of Time Using Constant Power

    Hello everyone! I was doing some dimensional analysis to find an equation that gives a acceleration as a function of time, using constant power. I came up with the equation $$a = k\sqrt {\frac P {mt}}$$ I differentiated velocity with respect to time in order to check my work and also checked out...
  12. A

    I Acceleration in QFT: Fundamentals, Causes, Quantization

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  13. T

    B Time Dilation on Rotating Disk: Clocks on Disk Perspective

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  14. jk185

    I Coriolis acceleration of a projectile launched at the equator

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  15. J

    The acceleration of protons using a changing magnetic field

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  16. S

    MHB Calculating Acceleration on the Surface of Venus

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  17. P

    I Relative Strength of the Magnus effect relative to gravity

    I have made a simulation of a table tennis ball being hit and landing on the table. There are 5 differential equations that are integrated to compute the horizontal position, horizontal velocity, vertical position, vertical speed and spin. by integrating 5 differential equations simultaneously...
  18. F

    I Is Acceleration an Invariant? (Taylor & Wheeler)

    I've been reading Spacetime Physics by Taylor and Wheeler at @PeterDonis's suggestion. In chapter 3, they say: Ok, so force is not an invariant. Fine. Then I go to http://math.ucr.edu/home/baez/physics/Relativity/SR/Rocket/rocket.html, where the term ##a## appears in various equations and is...
  19. vytrx

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  20. Gumby The Green

    I Can time run backwards in an accelerating frame?

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  21. BigyanAdhikari

    I Acceleration at 1g in space -- Does it create a gravitational field?

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  22. Shreya

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  23. M

    I Relative Motion vs. 'Relative' Acceleration: Twin 1 & 2

    Given the relativity concept between twin 1 and twin 2 what is the difference between relative motion and 'relative' acceleration? Are not either twin experiencing the differential between them as a consequence of acceleration. When twin 1 instigates motion relative to twin 2, a moving carriage...
  24. Monsterboy

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  25. A

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  26. A

    I Why doesn't the released mass m2 on pulley have higher acceleration?

    Consider the pulley in the attached image to be frictionless. (a) If m2 is released, what will its acceleration be? My question is why wouldn't m2's acceleration be greater if released rather than attached to the string because m2 released is no longer subject to the string's upward force tension?
  27. theerenwithther

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    Hello , First of all , I am still new to circular motion or any motions in general and still relatively learning so please bear with me. 1 . The direction of the tangential acceleration is parallel to the net velocity and that of radial of perpendicular to the velocity. So the direction of net...
  28. P

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  29. physicsmagician

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  30. Lay1

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  31. Stewkatt

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    this is my work but the answers say 11 m/s^2 so I made an error somewhere. Also if someone could help me with solving the direction for the acceleration, that would be greatly appreciated.
  32. guyvsdcsniper

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    I am currently solving this problem and approached it two different ways. I have attached a ss of the picture for reference. On my first attempt, shown on the attached image in pen, I used a component of the normal force and weight as my forces in the y direction. I carried out the work and...
  33. Arman777

    A Evaluating an expression for peculiar acceleration

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  34. Arman777

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    I was reading an article and I saw this expression, I don't understand how the ##r_s^2## in the denominator (in Eq.##10##), becomes the numerator in the Eq.##11## ? Article is here: https://arxiv.org/abs/0708.1132
  35. rudransh verma

    Car's maximum acceleration on a road is proportional to what?

    Since the car starts from rest it’s accelerating. So, $$F_a-f_k=ma$$ $$F_a-\mu mg=ma$$ $$\frac{F_a-\mu mg}m=a$$ Now from second eqn, ##s=ut+\frac12at^2## $$s=\frac12\frac{F_a-\mu mg}mt^2$$ $$\frac{2sm}{F_a-\mu mg}=t^2$$ $$\sqrt{\frac{2sm}{F_a-\mu mg}}=t$$ I don’t think I am getting any where!
  36. emus

    I Defining Characteristic Time and Distance in an Acceleration Function

    Before starting, I will leave the link to the article I am talking about here: http://www.msc.univ-paris-diderot.fr/~phyexp/uploads/LaimantParesseux/aimant2.pdf I am conducting a similar experiment to the one discussed in the paper above. Basically, I am rolling a neodium supermagnet down a...
  37. Cyneron

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  38. S

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  39. G

    B Maximum Force on transom of a boat under acceleration

    I'm trying to calculate the maximum Force in PSI applied to the transom of a planing boat under acceleration using F=ma. boat mass is 300kg accelerates from 0 to 10m/s in 6 seconds F=ma -> 500N = 300kg *(10m/s/6s) = 112.4045lbf the contact area between the boat transom and motor is 1000 mm2 =...
  40. Arsene11

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    I have no idea what to do but the answer is V=V0+ bt +(ct^3)/3
  41. R

    Mass, acceleration and velocity

    Good Evening All, I have an assignment i am struggling with really hope you can help. The question reads Describe how force, momentum, Angular momentum, kinetic and potential energy are linked with respect to mass, acceleration and velocity I know the following Force – the push or pull...
  42. R

    SOS -- Questions about mass, acceleration and velocity

    Please some one help! I am about to go stir crazy. I am really struggling to answer a the following question...describe how force, momentum, Angular momentum, kinetic and potential energy are linked with respect to mass, acceleration and velocity. Its probably really easy but science is not my...
  43. guyvsdcsniper

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    I am trying to follow the solution to the following problem, both linked in the attachment. When trying to find the acceleration, a, that should be taking the derivative of r, the position formula twice. When doing so I get v = -ksinθ and a = -kcosθ. The attached work shows v being -(ksinθ)θ'...
  44. greg_rack

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  45. brochesspro

    I The centripetal acceleration of the planets in our solar system

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  46. HakimTem

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  47. greg_rack

    I Exploring Acceleration at Contact Point Between Wheel and Surface

    Hello guys, I am getting more and more confused each time I try to get a definitive answer on this doubt: what's the acceleration at the contact point between a surface and a wheel spinning on it(without slipping). Considering this standard FBD for the above-described situation, (the direction...
  48. Iwanttolearnphysics

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