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. J

    I Gravitational time dilation using an accelerating light-clock

    I've been trying to understand gravitational time dilation by considering a light-clock of length ##l## undergoing an equivalent acceleration ##a## from rest along the direction of the bouncing light pulse. I find that the time ##t## that the light pulse takes to travel to the forward receding...
  2. J

    Accelerating electrons and positrons

    I've been looking int Large Electron-Positron collider at CERN (an experiment which ended in the year 2000), groups of electron and positrons were accelerated along a circular tunnel so that they collided. Electromagnets were used to keep the particles moving in a circle. could someone tell me...
  3. S

    B How does an isolated observer know if they're accelerating?

    I'm reading a book on principles of relativity, and am going through the definitions of reference frames and free particles. From what I've understood from there and other answers on SE, a non-inertial reference frame is one in which a free particle is measured to be undergoing acceleration...
  4. DarkMattrHole

    I Accelerating Body Creates Space-Time Curvature?

    If you are floating in space in your spaceship and you kick in the engines and accelerate at a comfortable 1G and you end up standing on the bottom of your ship, a slight curvature of space-time is formed, throughout the ship, perhaps immeasurable, such that without windows on the ship, you...
  5. kuruman

    Work is not done by static friction when accelerating a car

    A recent thread posed the question whether work is done by static friction in the case of an accelerating car. Before I had a chance to reply, the thread was closed on the grounds that the subject was "beaten to death". Undaunted, I am determined to deliver the coup de grâce here with a simple...
  6. A

    Is there any work done by static friction when accelerating a car?

    I'm asking for clarification, but it's my understanding, that of the thread below, and my college physics book Paul A tipler, that when walking or driving a car, the force of friction from the ground does no work. This makes sense in a car becuase the engine/fuel makes the power, driving the...
  7. B

    I Effective ways of accelerating a 50 picogram particle

    Would it be practical to accelerate a 50 picogram particle to speeds on the order of 1,000,000 meters per second (in a high vacuum environment) using methods typically used in particle accelerators? 2 methods that come to mind are a series arrangement of parallel pate accelerators and a moving...
  8. Y

    Power and Mass Question -- A helicopter accelerating and ascending

    I started with calculating the Ep and Ek of the helicopter and got this: Epi = 490m Eki= (1/2)(400m) Epf = 12740m Ekf = (1/2)(1681m) I don't really know where to go from there. Do the unknown mass variables cancel out? I'm lost!
  9. Kaushik

    Intuition problem about an accelerating barometer

    Consider a barometer kept in an elevator. When the elevator accelerates upwards, there is a pseudo force along with gravitational force acting on the liquid in the barometer. Due to which pressure on the liquid should increase, right? If pressure on the liquid increases then to balance this, the...
  10. nateb27

    How Fast Could a Car Ascend a Straightened Mountain Road?

    QUESTION: If all the curves were removed, making a straight line from top to bottom, how quickly could a car reach the top of a mountain? VARIABLES: The mountain has a slope of 6.4% The car's initial velocity is 0. The car's top speed is 203 mph, (which will also be its final velocity as it...
  11. IceCherryPop

    Woman standing on a scale in an elevator accelerating downward

    For A, I had multiplied 65 and 9.8 since that’s the force of gravity. For B, I again multiplied 65 and 2.5 (that’s what the scale says it reads. *I believe you multiply them for c and d, but I’m not positive for it. C- I think you multiply then subtract D- I think you multiply and I’m not sure...
  12. Like Tony Stark

    Spring in an accelerating room

    I've solved all the cases in the non inertial system. A) For ##m_1## we have ##x) P_{1x} -T=m.a_x## ##y) N_1 -P_{1y}=m.a_y## For ##m_2## we have ##y) T+F_e -P_2=m.a_y## As it moves with constant velocity I solve it setting ##a_x=0##. So for ##m_1## ##mgsin(\alpha)=T##, then I replace it in...
  13. H

    I What is the formula for plotting an accelerating involute curve?

    Can someone help me with a formula for an accelerating involute curve? I have found this wiki on involute
  14. A

    Friction ON wheels (say a car driving or accelerating)

    I know it takes friction for a car/wheels to move forward. However, I am confused by the free body diagram. As a torque is applied to the wheel, the wheel applies a force to the road, and as a reaction, the road puts a force on the wheel(this is friction). Then wouldn't the torque of friction...
  15. S

    Yo-yo on an accelerating conveyor belt

    First off, I was wondering if the acceleration of the conveyor belt can be considered a force. And I'm not exactly sure how to use Newton's second law if the object of the forces is itself on an accelerating surface. Also, I don't know whether it rolls with or without slipping. I thought I could...
  16. jisbon

    Thrust of a large ship's propeller accelerating the ship

    Hello. Not sure how to even begin with this question honestly. Didn't learn anything about thrust regarding this topic so it got me dumbfounded. Here's how I try to interpret it: I'm assuming that the thrust created by propellers = net force of the ship, where I can use F=ma to find...
  17. Prabs3257

    Laws of motion and a projectile thrown from an accelerating elevator car

    At the moment of throwing the ball the ball will have a vertical vel of 4 and horizontal of 3 wrt to elevator so as seen from inside the elevator the ball will behave like a projectile where g(eff) = 8 and with time period 1 sec hence range will be the displacement which should be 3 m but ans...
  18. UnPetitGarcon

    Direction of a rope with a ball inside an accelerating box

    A steel washer is suspended inside an empty shipping crate from a light string attached to the top of the crate. The crate slides down a long ramp that is inclined at an angle of 37° above the horizontal. The crate has mass 180 kg. You are sitting inside the crate(with a flashlight); your mass...
  19. E

    Equation for the frequency of light from an accelerating charge

    Say I have a electron in space, its accelerating along say the x-axis at 10 meters per sec^2, what frequency of light does it emit? Thanks!
  20. archaic

    Free fall time in an accelerating frame of reference

    This is my wrong attempt, the bolt's equation for ##t\geq 2## would be ##y_b(t)=-\frac{1}{2}g(t-2)^2+e(2)+l## where ##e(t)=\frac{1}{2}wt^2## the position of the elevator's floor in the absolute frame of reference. ##d(t)=-\frac{1}{2}(w+g)t^2+2gt+2(w-g)+l## the distance between the bolt and the...
  21. S

    Vertical circular motion with accelerating centre

    I can do the problem if the centre is fixed. The steps are: 1) Assuming tension in the string is zero at the top most position, we calculate the velocity at top most position by mv2/R = mg 2)Now, we simply apply mechanical energy conservation when the ball is at the top and bottom positions...
  22. S

    I Accelerating into a black hole?

    I'm sure this has been asked before, but it's lost to me among all the false positives... If falling into a black hole would lead to you being spaghettified, and moving relativistically towards it would contract your length / etc., is there a speed at which they balance out? Seems calculable but...
  23. M

    B Could accelerating expansion be caused by a "spinning" universe?

    The subject of the thread summarizes my question: Could the accelerating expansion be explained by a "spinning" universe?
  24. Bosko

    Stargazing Accelerating universe - luminosity data

    I am looking for the measurement data for distant objects (e.g. type Ia supernovae) The red shift and the luminosity flux data. What time interval is used in the luminosity flux measurement? What formula is used for the luminosity distance calculation?
  25. Buckethead

    B Time Dilation: Accelerating vs Inertial Frame

    This is probably common knowledge to relativity aficionados but at Example 7.3 in this paper: https://www.farmingdale.edu/faculty/peter-nolan/pdf/relativity/Ch07Rel.pdf I was surprised to read the author showing that a ship accelerating at 1g from rest for 1 hour and reaching a speed of...
  26. J

    with this tension problem -- Mass on an accelerating cable

    Homework Statement A 35 kg mass is being raised by a cable with decreasing speed. At the instant the upward velocity has a magnitude of 1.6 m/s and the downward acceleration has magnitude of 1.2 m/s2, what is the tension of the cable? m=35 kg v=1.6 m/s a= -1.2 m/s2 g= 9.81 m/s2 Homework...
  27. B

    Worksheet Problem about Power (average power of a car accelerating up a hill)

    Homework Statement A 1130 kg car is initially at rest when it accelerates up a 21 m high hill. When it reaches the top of the hill it is traveling at 18 m/s. If it takes 6.5 s to reach the top of the hill, what was the average power of the car? Homework Equations W = Fd P = w/t The Attempt at...
  28. A

    So how is it accelerating (two rockets in space)

    Assume that there are 2 rockets in deep space or a place where there is nothing around to compare their motion to. Rocket A starts its thrusters but the observer in rocket A doesn't know about it. So my question is, if rocket A is considered to be stationary by the observer then how can he...
  29. R

    Are all EM waves produced by accelerating charges?

    So, a static charge at rest produces an electric field, but no magnetic field. A charge moving with constant velocity produces both electric and magnetic fields. Why is it that accelerating charges are the source of all electromagnetic radiation? How would one go about showing this using...
  30. Jazzyrohan

    Do Air Molecules in a Sealed Elevator Accelerate Equally When It Speeds Up?

    If a sealed elevator moving with a constant velocity in upward direction suddenly starts accelerating upwards with an acceleration "a" ,will all the air molecules inside the elevator also accelerate with the same acceleration?
  31. T

    Electromagnetic Radiation Emitted By An Accelerating Charge

    Suppose a point charge is slowly oscillating simple harmonically. Does it emit an electromagnet wave and if not why not ? How does its field change with time. Does anyone know of a good animation ? Thanks.
  32. E

    B Accelerating Expansion of Cosmos: Measured in Multiple Directions?

    Does anyone know if the accelerating expansion of the universe was measured in more than one direction? Unlike the expansion having no obvious center, it seems like the accelerating expansion would have to point to a “center”. Our galaxy, for example, cannot be accelerating away from a...
  33. D

    Accelerating charged particles and conservation of energy

    Hi I'm wondering how when a charged particle is accelerating it both emits energy in the form of em radiation while also gaining kinetic energy. All of that energy comes from the thing accelerating the charged particle, yeah? Is that necessary, like it is not possible to give a charged particle...
  34. R

    I Accelerating universe explained by constant expansion?

    Why is the accelerating expansion of the universe not explained simply by the perspective of acceleration caused by a constant (non accelerating) universal expansion? Let's take two particles (X,Y) in a 1d expanding universe where it expands universally by 1 unit per per unit time. O represents...
  35. Inani Schroedinger

    I Is the expansion actually accelerating? Or does it just appear so?

    I pulled this quote from an article on the Hubble Constant: "...for example, if the Hubble Constant was determined to be 50 km/s/Mpc, a galaxy at 10 Mpc, would have a redshift corresponding to a radial velocity of 500 km/s." In this illustration provided from the article, if this was the...
  36. R

    Is it possible to work out when the object stopped accelerating?

    If giving the average speed weight and distance traveled is it possible to work out when the object stopped accelerating
  37. kolleamm

    B The accelerating expansion of the universe

    Just a thought I had today. I read an article that mentioned how the universe is expanding faster and faster and how dark energy may be the cause for this, but I wondered, what if the accelerating expansion of the universe is not caused by dark energy but simply by the gravitational attraction...
  38. Nemika

    Behaviour of an accelerating beam of electron.

    If a beam of electrons starts to accelerate from rest due to a uniform electric field in vacuum will the electrons feel any mutual repulsion or attraction? Will the beam first expand then contract? If yes, how does this happen? This was a question under magnetism head.
  39. J

    B Electric Field in Accelerating Elevator

    According to an inertial observer the electric field of a charged ball sitting on the floor of an accelerating elevator is contracted more than the elevator is contracted. So the inertial observer concludes that an observer inside the elevator will measure that the Coulomb-force from the ball is...
  40. Liszzy

    Physic (kinematics) — Displacement of an accelerating car

    Question: A car accelerates from rest at a rate of 2.0m/s^2 [N]. What is the displacement of the car at t=15s? I tried (2m/s^2 [N])(15s)=30m/s [N] (30m/s [N])(15s) =450m [N] but guess wrong :( *Because the answer is 230m [N] How to solve this? anyone
  41. L

    How to use my data of Ixx, Iyy and Izz?

    Hi everyone, thank you for reading my thread I know the question is weird but I can't seem to explain it otherwise. My problem: Basically I am finishing a final year project which I based on a Formula Student Vehicle. Using CAD I have the vehicle modeled, and through the model analysis and with...
  42. E

    I Question about accelerating expansion

    Question about accelerating expansion Why do I see everything backwards? Here is a paragraph from Bernard Schutz’s excellent book on General Relativity, p. 352: (referring to the famous plot from the High-Z Supernova Search Team: Riess, et al, 1998) The top diagram shows the flux (magnitude)...
  43. E

    B Does Hubble's Law imply that galaxies are accelerating away

    Is I understand it Hubble's law states that V = Hd = dx/dt Solving this differential equation, I got d = kexp(HT) where k is an arbitrary constant. This implies d²x/dt² = Hv = H²d and dⁿx/dtⁿ = Hⁿd. However (at least for me), finding the value of k is a problem, for 1, it must vary from galaxy...
  44. I

    Calculating Accelerations in an Atwood Machine with an Applied Force

    Homework Statement The masses of blocks ##A## and ##B## are 20kg and 10 kg, respectively. The blocks are initially at rest on the floor and are connected by a massless and frictionless pulley. An upward force ##\vec{F}## is applied to the pulley. Find the accelerations ## \vec{a_A}## of block...
  45. Soffie

    The period of oscillation of a bob in an accelerating frame

    If a suspended pendulum bob is accelerated (in a car, for example), if you're in the accelerating frame of reference, you will observe the fictitious force which appears to act on the bob (as you're in the accelerating frame, the bob is not 'moving' so to speak, so to establish equilibrium you...
  46. House

    Accelerating motion with a pulley

    Let's suppose we have a body A with mass M that can move on a horizontal frictionless ground. Now we connect that with another body B, mass m, with the help of a rope. The body B can move vertically and the rope is curved with a pulley. Now we set the body B free to move. What's the relationship...
  47. J

    "Radar distance" on an accelerating rocketship

    Homework Statement This problem is from chapter 2 "Relativistic Kinematics", from Wolfgang Rindler's "Introduction to Special Relativity", second edition. The full statement is: Homework Equations I assume this is going to involve the formula for hyperbolic motion, x2 - (ct)2 = X2. I also...
  48. lichenguy

    Accelerating a car including the moment of inertia of the wheels

    Homework Statement A car accelerates from rest on a horizontal surface. The engine provides a torque of τ = 200 Nm on each of the two front wheels. Each of the four wheels on the car weigh m = 15 kg, have radius R = 0.35 m and can be considered solid, uniform discs. The rest of the car (not the...
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