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. R

    Unreasonable values for engine torque in vehicle simulation

    I'm trying to simulate the physics of a Toyota Camry during acceleration with a time granularity of 100ms. My simulated conditions are as follows: m = 1590 kg v = 17 m/s a = 1.5 m/s2 η (transmission efficiency) = 0.85 rwheel = 0.35 m Fdrag = 100 N Ffriction = 260 N Faccel = 1590 kg × 1.5 m/s2 =...
  2. wcjy

    Conservation of energy, centripetal acceleration, kinematics

    (a) Using COE, $$mgh = 0.5mv^2 + 0.5I\omega^2$$ I solved it, where $$\omega = 112 rad/s$$ (b) This is the part where I have question or problem. I saw my course mate working and he start of with finding centripetal acceleration. $$a_c = \frac{v^2}{r} = \frac{(r_0\omega)^2}{R_0}$$ Why isn't it...
  3. R

    I don't understand acceleration....

    So the teacher said that acceleration was the rate of change for velocity so in 3 minutes the velocity of the election needs to go to 200m/s so i used the formula and I found that every minute the electron needs to accelerate at 66.7m/s2 to reach 200m/s in 3 minutes and for each second it...
  4. C

    Confused by Unexpected Results: Acceleration & Moment of Inertia

    Like I said, objects with the higher acceleration are giving me the lowest values. For a hoop, I got I=0.1*MR^2 For a cylinder, I got I=0.7*MR^2 this seems backwards, no?
  5. S

    Find the angular acceleration of two reflectors attached to a rod

    Okay so I actually have the answer because my teacher basically just gave it to me, but I would really like to know why I was even wrong in the first place. Here's my steps: 1. Knowing the momentum transfer per unit area is described by: 1/A dp/dt = S/c. I can begin by relating some known...
  6. danielhaish

    B Do we feel the Earth going around the Sun as acceleration?

    when electron is moving around it like it accelerate and so it create magnetic field. and when mass accelerate it create gravity radiation , we also know that the gravity is not actuall force and it just change the time so when the Earth move in 4 direction it change it path becuase time change...
  7. WMDhamnekar

    MHB Centripetal acceleration of viking ship in the amusement park.

    Hi, Riders in an amusement park ride shaped like a Viking ship hung from a large pivot are rotated back and forth like a rigid pendulum. Sometime near the middle of the ride, the ship is momentarily motionless at the top of its circular arc. The ship then swings down under the influence of...
  8. WMDhamnekar

    MHB Question about centripetal acceleration.

    Hi, A mother pushes her child on a swing so that his speed is 9.00 m/s at the lowest point of his path. The swing is suspended 2.00 m above the child’s center of mass. (a) What is the magnitude of the centripetal acceleration of the child at the low point? (b) What is the magnitude of...
  9. Jojo-11

    Why does acceleration increase by less as angle of slope increases?

    My only guess is that this is due to air resistance. Below an example of the predicted graph:
  10. A

    Angular velocity and angular acceleration of a turbine

    Okay so what I've done; I've put the diammter d = 1m as r = 1m The time interval of 4s is t = 4s and the angular velocitys as; ω1 = 20 rad/s ω2 = 40 rad/s Now to get the accelaration. Angular acceleration can be split into two parts tangetial acceleration and radial acceleration What I...
  11. F

    I Acceleration in Special Relativity

    Can special relativity handle acceleration? I believe the answer is yes, but I don’t recall dealing with any acceleration problems when I took SR. I remember using the time dilation, length contraction and Lorentz transformation equations. These equations all assume constant motion iirc.
  12. S

    Determining net force and acceleration

    Hi All, Please see attached photo of the question. It is asking for net force and acceleration. Taking the forces acting upwards and downwards on the parachutist as vectors: for A the net force would be 800-300=500; B would be 0 and C; would that be 800-1500=-700? And if so would that imply...
  13. MPavsic

    Coriolis inertial acceleration

    I am a self learner. I have a specific question regarding the Coriolis inertial acceleration. If question is already answered on this forum please redirect me there. As depicted on the picture we have rotating platform and the chain of particles passing across the rotating platform. The...
  14. person123

    Parabolic Pressure Distribution in a Jet

    Assume the jet is straight but the radius of the jet varies over it's length (like a jet of water falling which narrows due to gravitational acceleration). Also ignore viscosity. A pressure gradient would be required to accelerate the fluid radially. Because during an expansion transformation...
  15. S

    Acceleration of a spring - mass system

    m1 = top left m2 = bottom left m3 = top right m4 = bottom right My questions: 1. Will all the object (m1, m2, m3,and m4) have same acceleration? 2. Should I assume initial extension of both spring is the same? (only based on the picture) 3. Will the extension of the spring change after the...
  16. T

    Non-constant acceleration, solving for velocity

    Hello! I am trying to solve for the velocity in terms of position of a particle moving with non-constant acceleration. a=c*t (where c is a constant) I can easily solve for velocity in terms of t. dv/dt=a dv/dt=c*t I differentiate and get v=1/2*c*t^2+v0 (where v(0)=v0) However I am not sure...
  17. N

    What's the car's acceleration at a specific point?

    I did (0.9-0.1)/(1.5-0.5) = 0.8/1 --> 0.8 m/s^2 This doesn't look right to me. Is this actually correct or do I need to solve the problem a different way?
  18. K

    Constant 1 g acceleration problem

    Multipart question: 1) How long would it take to travel to the moon from Earth at a constant 1 g acceleration? 2) How does fuel consumption work with constant 1 g acceleration or acceleration in general? I read that "it doesn't take a constant amount of energy to maintain a constant...
  19. N

    Why will acceleration be -9.8 if it is moving upward direction?

    Taking upward direction as positive why will the acceleration be -9.8? Is it due to the curve of the graph?
  20. AN630078

    Kinematics Motion with Variable Acceleration

    The displacement of the particle is; s= ∫v dt s= ∫4-3t^2 dt s=4t-t^3+c When the particle is at the Origin, t=0; 0=4(0)-(0)^3+c c=0 So this becomes; s=4t-t^3 The particle next passes through the origin when; 4t-t^3=0 Factor out the common term -t; -t(t^2-4)=0 Rewrite t^2-4 as t^2-2^2 and factor...
  21. R

    B Measuring Gravitational Waves w/ Elevator Accelerometer

    An elevator in outer space where there is negligible gravity, accelerates at the most precise constant acceleration that current technology enables. Inside that elevator, resides an accelerometer that is the most precise accelerometer that current technology enables, but not more precise than...
  22. Haorong Wu

    I Acceleration Frame in SR: References for Research

    Hi. I am looking for some references of acceleration frame in SR, such as an accelerating rocket problem. I have some equations regarding the time, distance, velocity measured in the Earth frame, etc. But the reference I have does not provide the derivation of those equations, so I need some...
  23. A

    I Does Acceleration Affect Event Horizon Location?

    Normal acceleration is equivalent to a uniform gravitational field throughout all of space. Thus, if I am normally accelerating, I should observe an event horizon shifted as compared to a non-accelerating observer. Is this correct?
  24. GreenOlive

    Change in acceleration with change of angle of applied force

    Let ##μ_k## = 0.5 ##F_a## = 10 Newtons ##\theta## is the angel of the Applied force. How will the acceleration of the block change if the angle of the applied force is increase by ##5^o##? Write Increase, Decrease or Stay the same. Recently we were discussing a question similar to this in...
  25. aspodkfpo

    Three conceptual questions on centripetal acceleration in a cone

    Given such a diagram as shown above, we know that the normal force must be mg/sintheta. How is this normal force greater than the gravitational force conceptually? Is it due to the horizontal traveling (which must have been started by someone exerting a force?) compressing the sides of the cone...
  26. brotherbobby

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  27. A

    Velocity due to known acceleration

    I have some troubles with this relatively simple problem My idea was to find the acceleration by F = ma and then integrate the graph and then find the velocity to t = 10 s + start velocity The graph will be - 2x And integrated -x¨^2 But this seems wrong Thanks in regards
  28. aspodkfpo

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  29. S

    Ratio of acceleration of two solid cylinders released on two inclined planes

    I am not sure about my free body diagram. I assume the cylinder rolls without slipping so the forces acting on the cylinder are: Weight directed vertically downwards Normal force directed perpendicular to the plane friction directed upwards, parallel to the plane Am I correct till this point...
  30. B

    Direction of acceleration of a projectile with drag force

    First and foremost, thank you so much for your help! I'm new to Physics Forums, and this is my first post. I thought I understood the problem, but as I moved on to the subsequent parts of it became apparent that I was missing something. I set up my ##F = ma## equation as below, and solved that...
  31. mcastillo356

    A skier goes down a slope -- Ignoring friction, calculate the acceleration

    a) ##a_y=\dfrac{\sum{F_y}}{m}=\dfrac{N-mg\cos{\alpha}}{m}=(1-\cos{\alpha})g## ##a_x=\dfrac{\sum{F_x}}{m}=\dfrac{mg\sin{\alpha}}{m}=g\sin{\alpha}## ##a_y=(1-0,866)9,81\;m/s^2=1,31\;m/s^2## ##a_x=(0,5)9,81\;m/s^2=4,91\;m/s^2## How can it be a perpendicular acceleration?; which coordinate system am...
  32. R

    Angular acceleration calculation

    Torque=225 Ncm Torque=α*0.35 kg.cm² α=225Ncm/0.35kg.cm² =225 kg.m/s²*cm/0.35kg.cm² =225*100/.35s² =64285.7/s² but the answer is wrong
  33. George Plousos

    I A version of the twin paradox without accelerations

    Bob is standing on Earth and Alice is on a distant planet at a constant distance from Earth. Their watches are already synchronized in the following sense: Suppose Alice's planet is a light-year away from Earth. Bob emits a light signal to Alice at time t = 0 according to Bob's watch. When Alice...
  34. J

    Why is there angular acceleration in a non-spinning gyroscope?

    I was watching the above video which is part of a series explaining the mechanics behind a gyroscope. In the video the author explains the mechanics of the gyroscope when stationary (the disc is not rotating). Here he derives a result that the angular acceleration is g/r which is non zero...
  35. Leo Liu

    A particle moving with zero radial acceleration in polar coordinates

    In the example above, the authors claim that when ##r=r_0e^{\beta t}##, the radial acceleration of the particle is 0. I don't quite understand it because they did not assume ##\beta=\pm \omega##. Can anyone please explain it to me? Many thanks.
  36. A

    I Solve Constant Acceleration Problem in Special Relativity

    Basically I just want to work out a constant acceleration problem in relativity, of the same kind of introductory physics. Vo= 0.9999c Vf = 0 D= 50 Au Accel, Earth frame? Accel, Ship frame? Time of transit, Earth frame? Time of transit, ship frame? Motion is 1-D. All origins line up at the...
  37. Kaguro

    What is the issue with the polar acceleration problem?

    ##\vec r=r \hat r## ##\vec v=\dot r \hat r + r \dot \theta \hat \theta## ##\vec a = (\ddot r - r \dot \theta^2)\hat r + (2 \dot r \dot \theta + r \ddot \theta)\hat \theta## Given that, ##2 \dot r \dot \theta + r \ddot \theta =0## Also, ##r \theta=constant## ##\Rightarrow \dot r \theta + r \dot...
  38. Amitkumarr

    To find the Acceleration of a Pentagonal metallic plate

    In order to find force( and hence the Acceleration) on the Pentagonal plate,we must find the Resistance of the plate.But to find the resistance we must know how the current is flowing through the given plate(see attached figure). My question is how is the current flowing through the Pentagonal...
  39. Selfphysicslearner

    What is wrong with following physics equations? (velocity and acceleration)

    vavg=(Vi+Vf)/2 vavg=h/t then vavg*t=h h=(Vi+Vf)/2 * t Vf=at (Vit+at2)*1/2=h But formula on every resource I found says it should be; (Vit+at2*1/2)=h What mistake did I do ?
  40. T

    Apparent weight of a body with upward acceleration

    I initially attempted to get the answer by multiplying the mass by 50, as I assumed if the upward acceleration was 5g then the weight could be found by just multiplying the mass by the acceleration of 50ms^-2. However that resulted in an answer of 3750 which was far below the correct answer of...
  41. LCSphysicist

    Doubt about vector acceleration

    Say... A ball is moving to the right, and we want to say that it doesn't slip. My doubt is, in which case we put Vrot = - Vcm = - α*r or Vrot = Vcm = α * r
  42. ttesss

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    I´m currently studying Newtons 2nd law and I don't get how can force only depend on mass and acceleration and not on velocity.. I mean, if I punch something with my fist going at constant velocity ( acceleration=0) it stills has a force right?
  43. Dman0500

    Dynamic Equilibrium -- Acceleration of a rock thrown from a bridge

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  44. G

    Acceleration issue -- A 120W motor starts to lift a load of 20 kg....

    Okay, here is a question I just can't solve. The 120W motor starts to lift a load of 20 kg. During which time, this load will reach a speed of 0.5 m / s, taking into account the potential energy. PS: Ignore losses in the mechanism!
  45. I

    When calculating a car's acceleration, is it ok to substitute Torque?

    1. When calculating a car's acceleration, is it ok to substitute Torque into a= F/ma= F/m T= FrF= T/rwhere a= acceleration, F= force, m= mass, T= Torque, r= radius,a= T/rm ?
  46. O

    Angular Rotation and Acceleration

    [Mentor Note -- OP deleted his posts after receiving help. His posts are restored below] @ocean1234 -- Check your messages. Deleting your post is not allowed here, and is considered cheating. Problem was given: ##\theta(t) = at - bt^2 + ct^4## a) calculate ##\omega(t)## b) calculate...
  47. jamiebean

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    I first calculated initial velocity: √7.09^2+1.07^2=7.17028 acceleration=√7.22^2+2.47^2= 7.63 then i substituted all values into this equation: final velocity=initial velocity + acceleration x time so, final velocity=82.0285 so the magnitude= final velocity-initial velocity= 74.858271 is...
  48. M

    Exploring Moment of Inertia & Angular Acceleration for Drone Propellers

    Hi, I am building a drone for a school project and I am also looking into how it flies. Recently I have been looking into angular momentum, torque, moment of inertia and angular acceleration. However I am struggling to understand moment of inertia and angular acceleration. If possible please...
  49. R

    Exploring Circular Motion: Centripetal Acceleration

    Hey guys, Theres something I've been confused about when looking at circular motion. When does an object have just centripetal acceleration as the acceleration of the object, if ever. I think that the acceleration vector is between the centripetal and tangential acceleration when an objects...
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