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. W

    Force on an Accelerating Car: Calculating the Net Force

    Hello, since this is a new topic in class I just want to check that I am doing the question correctly. Given: car mass = 710kg starts from rest v0 = 0 travels 40.0m in 3.0s d = 40.0m t = 3.0s Question: What is the net force exerted on the car? F = ___N Work: First I calculated acceleration...
  2. astrocytosis

    Ball rolls without slipping in an accelerating car

    Homework Statement A bowling ball sits on the smooth floor of a subway car. If the car has a horizontal acceleration a, what is the acceleration of the ball? Assume that the ball rolls without slipping. Homework Equations torque = R x F = Iα aball= Rα Isphere = (2/5) MR2 The Attempt at a...
  3. K

    Three masses in an elevator accelerating downwards

    Homework Statement Three masses (m1=3.2, m2=9.6, and m3=6.4) hang from three identical springs in a elevator with a spring constant of 349N/m. The elevator is moving downwards at -3.7m/s and accelerating downwards at a= -2.5m/s^2. What is the magnitude of the net force on the middle mass...
  4. J

    I Speed of light on a moving platform

    1. We have a moving platform traveling 700 miles per hour to the Right-Direction. 2. In the middle of the platform, we have a gun which fires a laser both at the front and back of the platform at the same time. 3. We have at both the front and back of the platform, a mechanical device. These...
  5. michaelgtozer

    Kinematics Question -- Two motorbikes accelerating at each other....

    Homework Statement Two stationary motorbikes at time 0s are separated by distance of 80m. Both motorbikes accelerate at a constant rate as the travel towards each other. Motorbike X accelerates at a rate of 4.6m/s2 . Motorbike Y accelerates at a rate of 2.4m/s2 . Calculate the amount of time...
  6. L

    "Shifting" non-inertial frame in Accelerating Atwood Machine

    Hello, I was referring to this thread: https://www.physicsforums.com/threads/accelerating-atwoods-machine-problem.44305/ to solve a problem on accelerating atwood machines in which, naturally, one attempts to find the acceleration of each of the individual masses. Although I now understand how...
  7. F

    Block on an inclined plane that is accelerating sideways

    Homework Statement [/B] A block of mass m rests on an inclined plane with angle o accelerating to the right with acceleration a. The coefficient of static friction is u.Homework Equations For what range of a does the block remain at rest on the plane. The Attempt at a Solution [/B] I started...
  8. N

    Pressure at the center of an accelerating sphere

    Homework Statement Consider a glass sphere completely filled with water except for a small air bubble at 1 atmosphere. The sphere is accelerating to the right. What is the pressure at the center of the sphere? Let Pe = Atmospheric pressure r = radius of sphere pw = density of water a =...
  9. H

    Accelerating a satellite in a circular orbit

    Hello, I will be thankful if you could explain what appears to me as a paradox. We know that a satellite on a circular orbit, let say around the earth, has a uniform speed given by v=√(GM/r0). Now I would like to accelerate the satellite by keeping it on the same circular orbit r0. The only...
  10. J

    How come accelerating charges produce EMR, but others don't?

    I am a high school teacher preparing to teach grade 12 physics for the first time in the fall. I can't quite understand this and it is really bothering me... In the textbook my school uses, it says that accelerating charges produce electromagnetic radiation, while charges moving at a constant...
  11. Pushoam

    Calculating a bolt's free fall time in an accelerating elevator

    Homework Statement Homework EquationsThe Attempt at a Solution A) W.r.t. Earth's frame, After 2s , velocity of bolt = at = 1.2*2 = 2.4 m/s distance traveled = (1/2) 1.2*22 = 2.4 m Let's say that the bolt reaches the floor at time t. Using s = ut + (1/2)at2 2.4 = 2.4t +(1/2)(-9.8) t2...
  12. I

    Automotive Car downforce: accelerating air under the car vs blocking

    As most of you know real racecars have flat bottoms, rear diffusers and in the front well... a variety. So to keep this simple. I am building a car with a flat bottom and rear diffuser, car raked at 4 deg, diffuser at 14 (all details will be adjusted based on learned info) and nothing on top or...
  13. NoahCygnus

    Motion analysis of an accelerating wedge and a block

    I don't understand the motion of an accelerating wedge and a block. I'd really appreciate if you make me understand the motion in both an inertial and a non inertial reference frame. Here's a figure I have made, a0 is the acceleration on the wedge with respect to an inertial frame, towards right.
  14. Isaac0427

    Can you know which reference frame is accelerating?

    Person A is in car A and person B is in car B. These people don't know if their car is moving (i.e. there is no scenery and their engines don't vibrate or make noises). Car A is stopped and car B is moving with a velocity v. Person A thinks that car B is moving with a velocity v while person B...
  15. saadhusayn

    Pendulum oscillating in an accelerating car

    We have a car accelerating at a uniform rate ## a ## and a pendulum of length ## l ## hanging from the ceiling ,inclined at an angle ## \phi ## to the vertical . I need to find ##\omega## for small oscillations. From the Lagrangian and Euler-Lagrange equations, the equation of motion is given...
  16. B

    I New Way of Particle Accelerating?

    Question 1: Current particle accelerators are only able to speed up particles up to around 0.16c. However, in nuclear reactors, radioactive nuclei release subatomic particles, i.e. electrons, at more than 0.75c. To increase efficiency and perhaps to observe how particles collide at high speeds...
  17. davidge

    B Is it that hard to do Relativity in accelerating frames?

    According to the Lorentz transformations, in the absence of gravity, the relations between coordinates of a primed system to those of a unprimed system are $$x'^{\ \alpha} = \Lambda^{\alpha}{}_{\beta}x^{\beta}$$ For the Lorentz invariance to be satisfied we must have...
  18. E

    Simple harmonic motion in an accelerating car

    There's a pendulum attached to a car accelerating with ##A##. I know I can find it's time period using the "effective" g method, but I want to find it from first principles. My attempt: ##tan\theta = A/g## Now I displace it by ##\alpha## giving ##mgsin(\theta+\alpha)-mAcos(\theta+\alpha) = ma##...
  19. Mike J

    Internal stresses of an accelerating body

    Homework Statement Refer to image attached. Lets say I have a deformable solid that is being accelerated by a force that is equally distributed along the back face of the Main Body that is drawn in the picture. Attached to this Main Body is a Wing. At high accelerations, there will be inertial...
  20. arjunzv8

    Actuator on an accelerating body

    Hello all, new member here. Signed up cause I am stumped by a physics problem. I am trying to size a linear actuator. Basically I have a large body that is accelerating at acceleration in x direction. I have a linear actuator aligned in the x direction that is rigidly attached to the large body...
  21. A

    What fraction of its energy does accelerating proton shed?

    Homework Statement If a proton with a kinetic energy of 6 MeV is traveling in a particle accelerator in a circular orbit of radius 0.75m, what fraction of its energy does it radiate per second? m = 1.67 * 10^-27 epsilon_0 = 8.854 * 10^-12 c = 3 * 10^8 Homework Equations dE/dt = (q^2 a^2) /...
  22. Colm

    B If the universe is expanding at an accelerating rate....

    If the universe is expanding at an accelerating rate, either through a "pushing" or "pulling" force in a direction, and we have come from a "big bang point", then I wonder if we could calculate all our vectors at anyone moment and time to find the universal acceleration point and direction. If...
  23. EthanVandals

    How Is Angular Acceleration Calculated for a Speeding Ferris Wheel?

    Homework Statement If a Ferris Wheel of radius 25 meters is sped up from a linear speed of 2 meters per second to 3 meters per second, what is its angular acceleration if it takes 5 seconds to do this? How long will it take to complete a complete circle if it continues to accelerate at this...
  24. Gort

    A Observational evidence for accelerating universe

    This question was triggered by the fact that Adam Riess is making his lecture rounds at a local University. So, wanting to be prepared, I pulled out his old Nobel lecture, which nicely described the techniques used for the high-z s/n measurements. I was particularly interested in how they...
  25. Alan Ezra

    Accelerating an electron from speed u1 to u2

    Hi! I am trying to find the time for an electron to accelerate in a uniform electric field from u1 to u2. In the textbook, I found that time is found by integrating d(u/(1-u^2/c^2)^(1/2))=(qE/m_0)⋅dt and they get u/(1-u^2/c^2)^(1/2) = qEt/m_0 by integrating from t=0 and u=0 to t=t and u=u I...
  26. swotty

    Torque to lift object by cable on a drum accelerating

    Homework Statement An object of mass 1000 kg is lifted by means of a steel lifting cable being wound round a drum of diameter 2.5m mounted on a horizontal shaft. The drum and shaft have a mass of 1000 kg and a radius of gyration of 1.0 m. What is the torque required to give the object an upward...
  27. M

    I Accelerate Charged Particle: Does Light Require Force?

    Does a charged particle need to experience a momentum changing force to emit light? Or is it sufficient for an observer to accelerate relative to the particle?
  28. C

    I Accelerating Internal OAM Photon Wavefronts Under Gravity

    It is known that wavefronts of internal OAM photons travel slower than light but I wonder what happens if you accelerate such a beam. This should be possible under gravity.
  29. resurgance2001

    I How did scientists figure out the expansion is accelerating?

    I understand that the acceleration of the universe's expansion was discovered by looking at very far away Type 1a supernovae. My question is how was the data used exactly to calculate the Hubble constant in the past and then compare it with today's value? Did they simple plot the distances...
  30. S

    Height block reaches on accelerating quarter pipe

    Homework Statement A block in the shape of a quarter circle moves at constant acceleration across the floor. At some moment a small block of mass m, which is at rest with respect to the floor, is placed atop the horizontal part of the large block. There is no friction in this problem. Assuming...
  31. J

    A Accelerating particle photon emission mechanics?

    It's been a while. But I have always received the help I needed on this forum. I had this question in my head, When a particle accelerates, it creates an oscillating electric field, and a photon. How much does this effect, affect the energy of the particle itself? Say I had a particle...
  32. O

    Role of accelerating voltage in Davisson Germer experiment

    Hello everyone, We know Davisson & Germer experiment confirms the wave nature of electron(matter). Positions of Constructive Interference produces high intensity. So at different scattering angle intensity should be different. That's fine I understand why scattering angle(position) matters for...
  33. M

    Effect on electrostatic charge from accelerating electrons

    I'm trying to understand (well, maybe in an oversimplified way) what permanent changes, if any, would be experienced by a positive electrostatically charged plate used to accelerate a free electron in a vacuum, but where the electron would not strike the plate. I assume there would be some...
  34. L

    A Explaining Chaos in Constant Accelerating Systems

    Chaos could appear in the system if there is some nonlinearity. My question is how to explain that there is no chaos in constant acceletating system s(t)=v_0t+\frac{at^2}{2} when equation is nonlinear? Why is important only that difference and differential equation be nonlinear. It confusing me.
  35. UMath1

    Is There an Easier Way to Tell if Other Cars are Accelerating While Driving?

    As I was driving I was wondering if there is way to know if the other cars on the road accelerating. I think that if I were traveling at a constant, then if the rate at which the distance my car and another car was changing was not constant, then the other car would be accelerating. But is there...
  36. MetaUniverse

    B Methods of accelerating in space?

    hello ! I was thinking about some ideas of new ways to accelerate spacecraft s in space, but for that it would be helpful to know which methods are currently in use. I'm talking about the acceleration in general, so both at a place in space influenced more by gravity ( like Earth orbit ) and a...
  37. wolram

    B Is the universe expanding at an accelerating rate

    http://www.ox.ac.uk/news/science-blog/universe-expanding-accelerating-rate-%E2%80%93-or-it Now, a team of scientists led by Professor Subir Sarkar of Oxford University's Department of Physics has cast doubt on this standard cosmological concept. Making use of a vastly increased data set – a...
  38. dokara97

    Body of mass m is accelerating -- Need to find resultant force

    1. Body of mass m = 3kg is accelerating with acceleration of ##\vec a = 2\vec i + 5\vec j m/s^2 ##. I need to find the resultant force ##\vec F## and the force's value. 2. Of course, the first equation that came to my mind is ##\vec F = m * \vec a## 3. I came with a possible solution for this...
  39. Y

    Electromagnetic Fields due to Accelerating Charge

    Homework Statement What are the electric and magnetic fields due to a charge that is moving with uniform acceleration? (Non relativistic) Homework Equations Retarded solutions for the vector and scalar potentials. The Attempt at a Solution My attempt might be an overkill because I'm using the...
  40. T

    I Free Fall vs Acceleration: Einstein's Theory Explained

    How does this work exactly? I can understand depending on frame of reference but I read that Einstein stated there is a right way to think about that based on inertial and non-inertial frame of references.
  41. Dusty912

    Broken Spaceship Accelerating towards circular sheet of dust

    Homework Statement A broken spaceship is located 10 km above the center of a large circular thin sheet of unknown dust. The sheet has a radius of 106km and a density of 7×1011kg/m2. The spaceship and the dust attract each other due to the gravitational force. a) Find the initial acceleration of...
  42. P

    Which graph(s) illustrates a car that is accelerating?

    [mod note: OP is ok, ref: https://www.physicsforums.com/threads/basic-relative-motion-problem.887296/] I can't figure out how to snap a picture and post here. So I'll try to explain the given scenario as best I can. Four distance versus time graphs are shown: Graph 1 is a constant/straight...
  43. C

    Why Does a2 Equal m1g/m2 in an Accelerating Pulley System?

    a1 = a2 a1 = F/(M+m1+m2) | Force/(Mass of entire system) = acceleration of entire system *a2 = (m1g)/(m2+m1) | Force = m1g; acceleration of m2 and m1 = m1g/(m1+m2) My answer: F = (m1g)(M+m1+m2)/(m2+m1) The book's answer: F = (m1g)(M+m1+m2)/(m2) *This step is what leads me to a slight variation...
  44. I

    Why are accelerating cars less fuel efficient?

    What is it about acceleration that makes it less fuel efficient?
  45. J

    Incline angle for accelerating cart and Tensions in strings for a suspended mass

    Homework Statement Hi all, I have solved these problems just wanted to see if it's all ok problem 1: a trolley starts at the lowest point of a diagonal plane with a 20m/s speed. Its acceleration is 4m/s^2 going downhill, the trolley goes up then slows until it reaches 0 speed and then goes...
  46. A

    B Temperature of an accelerating system

    if i take a box and fill with solid metal that has a temperature T . what if the box is accelerated to the speed of light . would T -> 0 ?
  47. S

    When accelerating upward off a trampoline....

    Homework Statement When accelerating upward off a trampoline, how would you depict this on an acceleration-time graph? I know kinematics is the study of motion without a strict regard to the forces that are capable of changing motion, but according to Newton's 2nd law, an object accelerates in...
  48. Eduardo1234

    Automotive Vehicle dynamics -- Accelerating FBD

    Im starting to learn about vehicle dynamics by watching video lectures here , and also reading the books by Gillepsie and Jazar. I´ve got a fundamental question about the FBD of the vehicle. According to Gillepsie :http://imgur.com/a/lGXxw http://imgur.com/a/lGXxw The vehicle is...
  49. Kraken_Head

    Power of a bicycle accelerating up a slope.

    Hello everyone :alien: I have been assigned to create a physics problem involving bicycles. I thought up the following, but I had questions regarding if it was properly made / worked out. A cyclist is accelerating constantly up a slope at 1 m/s ^-2 The slope is at a 15 degree angle and is 30 m...
  50. M

    Power for accelerating a ski lift

    Homework Statement A ski-lift has a one-way length of 987 m and a vertical rise of 275 m. The chairs are spaced 21 m apart, and each chair can seat three people. The lift is operating at a steady speed of 14 km/hr. Neglecting friction and air drag and assuming the average mass of each loaded...
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