What is Inertial: Definition and 496 Discussions

In classical physics and special relativity, an inertial frame of reference is a frame of reference that is not undergoing acceleration. In an inertial frame of reference, a physical object with zero net force acting on it moves with a constant velocity (which might be zero)—or, equivalently, it is a frame of reference in which Newton's first law of motion holds. An inertial frame of reference can be defined in analytical terms as a frame of reference that describes time and space homogeneously, isotropically, and in a time-independent manner. Conceptually, the physics of a system in an inertial frame have no causes external to the system. An inertial frame of reference may also be called an inertial reference frame, inertial frame, Galilean reference frame, or inertial space.All inertial frames are in a state of constant, rectilinear motion with respect to one another; an accelerometer moving with any of them would detect zero acceleration. Measurements in one inertial frame can be converted to measurements in another by a simple transformation (the Galilean transformation in Newtonian physics and the Lorentz transformation in special relativity). In general relativity, in any region small enough for the curvature of spacetime and tidal forces to be negligible, one can find a set of inertial frames that approximately describe that region.In a non-inertial reference frame in classical physics and special relativity, the physics of a system vary depending on the acceleration of that frame with respect to an inertial frame, and the usual physical forces must be supplemented by fictitious forces. In contrast, systems in general relativity don't have external causes, because of the principle of geodesic motion. In classical physics, for example, a ball dropped towards the ground does not go exactly straight down because the Earth is rotating, which means the frame of reference of an observer on Earth is not inertial. The physics must account for the Coriolis effect—in this case thought of as a force—to predict the horizontal motion. Another example of such a fictitious force associated with rotating reference frames is the centrifugal effect, or centrifugal force.

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  1. J

    Perception and inertial frames

    I was wondering how is our perception created according to relativity, since what we perceive depends on the perspective we have on the space-time around us. If two events are simultaneous in our frame by deduction from our perception we will realize that they are, and that the causal process...
  2. J

    Rotation relative to an inertial frame

    Earth has a huge angular velocity regarding its rotation. Now let's imagine that the Earth has the velocity of 400 km/s relative to some inertial frame. What will be the velocity of Earth when we take the rotation into account combined with inertial motion? How do the 2 combine? Thanks in...
  3. L

    Transformation to local inertial frame

    I've been working on a problem that I can't seem to get started on. Here is how it is posted: Metric of a space is: ds^2 = (1+2\phi^2)dt^2 - (1-2\phi)(dx^2+dy^2+dz^2), where |\phi | << 1 everywhere. Given a point (t_0 , x_0 , y_0, z_0) find a coordinate transformation to a locally...
  4. C

    Implications of constant speed of light in all inertial frames

    Hello, Lately I have been wondering about the implications of the speed of light being constant for all observers, to me this seems to imply that there are different versions of reality for different observers. I will use a scenario to illustrate my reasoning. After you read this I would like...
  5. P

    Inertial forces, relative strength, basic q.

    The question is to rank the inertial forces, euler,coriolis and centrifugal in increasing order of strength, for a observer in the Earth' rotating frame, observing a body stationary in the UK. My thoughts are that coriolis = 2mw X (dr/dt), and so depends on the velocity so can only come into...
  6. A

    Gravitational or inertial mass gain in cern ?

    Hi, I have been reading about CERN for a while and found amazing - amongst many other things - the fact that hadrons in the LHC turn some of their energy to mass after having reached the maximum possible speed. However this statement was not clear enough. I was wondering whether the mass they...
  7. TrickyDicky

    Curved Spacetime & Inertial Motion in General Relativity

    Does inertial motion (understood in the SR sense) exist in a curved spacetime?
  8. D

    Inertial propulsion, possible ?

    https://www.youtube.com/watch?v=1VW1y6isl18 Above is an old video of a double inclined pendulum device producing unidirectional motion. Here is a newer but much cruder replication https://www.youtube.com/watch?v=N-JKa4Bexz0 Physicists however put Inertial propulsion in the same...
  9. clope023

    Can one move from Inertial to Magnetic Confinement?

    Hello all, my question is related to graduate school topics and future postdoc possiblities. I'm a double major in electrical engineering and physics and have been doing plasma physics research as an undergraduate for roughly the last two years, with the last summer I played a part in...
  10. T

    Non-Inertial Frames: Understanding Geometric Structures

    Hi all, think this might be a silly or trivial question but I've got myself in a bother so thought I'd get some help. Best to illustrate my question with an example. Take a vector expressed in some chart, then we can find the components of that vector in another chart in the standard way by...
  11. L

    Pendulum in non inertial frame

    Homework Statement A pendulum is placed on a rotating platform which rotates with angular velocity ω around an axis, at equilibrium the angle between vertical and pendulum is θ θ= 20 degrees ω= 10 1/s how far is the pendulum placed from the axis Homework Equations...
  12. G

    Special Relativity: Angles in different Inertial Systems

    Homework Statement a) A light-source at rest in an inertial system S' is emitting light with angle θ' relative to the x'-axis. The System S' is moving at speed v (along the x-axis) relative to the laboratory system S. Show that the emitted light is making an angle θ with the x-axis of...
  13. R

    Reason for separate concepts of gravitational vs inertial mass

    My mechanics prof today said when setting GMm/r2 = ma, the canceling of the small m is actually a bit nuanced because you have to assume the gravitational mass is equal to the inertial mass (though it's supported by experiments). I'm so used to seeing mass as just mass so I'm having a bit of...
  14. C

    Special relativity using inertial frame moving at 1/2u

    Quick disclosure, I'm only a few weeks into modern physics, and still trying to get a firm grip on the mechanics involved here. My understanding is that it is possible to use a reference frame that is moving, and this leads to a bit of a paradox, at least under certain conditions. Take two...
  15. M

    Doubt in Inertial frame of reference

    Newton's laws of motions are not applicable in Non-inertial frames of reference which means only mutually accelerated frames of references, My question is how can we apply Newton's laws of motions for practical experiments such as simple pendulum, motion of a ball, etc. conducted in near surface...
  16. A

    Does absolute space explain the inertial and non inertial forces?

    The title might be confusing. Anyway while preparing for a seminar I made a statement, " Absolute space does not explain the inertial forces, since they are related to acceleration with respect to anyone of the inertial frame". Is this statement correct? Please explain with few examples, Thank you..
  17. A

    Inertial reference frames in general relativity

    Hi guys, I was reading some stuff about general relativity and the first impression is that isn't completely the follow-up to SR. In what I've read it has a different assumption about inertial frames, that they are only significant only locally. What does this really mean and what are the...
  18. A

    How to solve this without resorting to inertial forces

    Homework Statement I have been solving problems on my own and I came out with a problem I made up myself. It's simple: There's a triangular big block of mass M with an angle of \theta and on top of it there's a rectangular block of mass m. See figure attached. When the triangular block is...
  19. A

    How does the quantum vacuum appear to different inertial observers?

    According to QM the ground state of the quantized empty space is not considered to be empty but as a fluctuating sea of virtual particles creating and annihilating continuously. In the case of virtual particles with mass I have a problem with this. According to which reference inertial frame are...
  20. Z

    Relativity along an axis in an inertial frame

    Suppose that two events occur on the x-axis of an inertial frame, Δx apart with a time interval between the events of Δt. a) the proper time interval between the events is...? b) the proper distance between the events is...? I think I'm just getting confused by the wording. I imagined that...
  21. B

    Transforming momentum between inertial reference frames

    Homework Statement A bug of inertia m_B collides with the windshield of a Mack truck of inertia m_T \gg m_B at an instant when the relative velocity of the two is \boldsymbol v_{BT}. (a) Express the system momentum in the truck’s reference frame, then transform that expression to the bug’s...
  22. M

    Photon frequency in different inertial frames

    Do we measure different frequencies of light in frames moving relatively at constant velocities? Because when we look at an annihilation reaction from the view of different frames, we see different energies of the reactants which seem to affect the frequency of the produced photons. your kind...
  23. C

    Difference between gravitational and inertial mass

    I can't seem to get my head around the difference between the two. Inertial mass appears in F=ma and is a measure of an object's resistance to acceleration when being acted upom by a force/s. Gravitational mass appears in F=(GmM)/r^2 - what 'role' does mass play here?
  24. J

    Confused about the Equivalence Principle and Inertial Reference Frames

    Hey everyone, I started reading up on GR a couple of days ago, and I'm somewhat stuck on the concept of a free-falling IRF. I understand that an observer on a free-falling small spaceship would experience the laws of physics in a rather simple form, eliminating the need for a force of gravity...
  25. S

    Show that geometry has local inertial frames

    Homework Statement ds^2 = g_{tt} dt^2 + g_{tx} (dt dx + dx dt) with g_{tt} = -x and g_{tx} = 3 "Show that this is indeed a spacetime, in the sense that at every point, in any coordinates, the matrix g_{\mu \nu} can be diagonalized with one positive and one negative entry. Hint: You...
  26. quasar987

    Question about inertial frames

    There is something that bugs me about inertial frames. According to Einstein's definition (chapter 4 of "Relativity"), an inertial frame is one for which Newton's first law holds: "a body far enough removed from other bodies continues in a state of rest or uniform motion in a straight line." He...
  27. M

    Blackbody Radiation and Motion: Exploring the Dynamics of Inertial Frames

    I just confused myself with this idea, need someone to fix it please! Say a spherical black body temperature T is moving with velocity v in some direction through some medium with a lower temperature. In the sphere's rest frame this emission is isotropic, however, in the rest frame of the...
  28. quasar987

    Postulates of SR without inertial frames?

    Is it ok to formulate the postulates of SR like so: 1) If two reference frames are in a constant rectilinear motion relative to one another, then the laws of physics take the same form in both of them. 2) If two reference frames are in a constant rectilinear motion relative to one another...
  29. B

    Understanding Inertial and Non-Inertial Reference Frames

    You are conducting an experiment inside a train car that may move along level rail tracks. A load is hung from the ceiling on a string. The load is not swinging, and the string is observed to make a constant angle of with the horizontal. No other forces are acting on the load. Which of the...
  30. 1977ub

    Freely Falling Inertial As Seen By Distant Inertial Observer

    Apologies if this is in a FAQ somewhere. A is out in deep space. B is falling toward the planet. Does A need both SR & GR to calculate B's time/space dilation as determine by A's IRF?
  31. W

    Can anyone explain the use of inertial frames for problem solving in E&M?

    Can anyone refer me to a discussion of applying the technique of changing reference frames to problem solving? Why it works, and what it means. I'm familiar with using it in some E&M problems, but I guess I don't really "get" it. For example a particle in an E&M field has m\vec{a} =...
  32. J

    The concept of inertial mass from Newton to Einstein

    The most common definition of mass, at least in the Newtonian context, is in terms of a measure of inertia: The mass of an object is a measure of, and gives rise to, its resistance to changes in motion. F=MA presumably quantifies this idea of inertial mass. I'm wondering whether any...
  33. K

    Definition of Inertial Frame in GR: Math Explained

    How do we mathematically define a inertial frame in GR? Is it only a basis in some tangentspace or does it have to be induced by a coordinatechart? :/
  34. A

    Inertial Reference Frame Locally

    Why can we not CHOOSE a reference frame locally and treat everything inside of it as an inertial reference frame. For example in a classroom, the classroom is moving with the Earth and so is a ball rolling down the class. Because they are both equally moving due to the Earth's rotation, why...
  35. Y

    Calculate Inertial tensor of 5000 points

    Homework Statement I was given a sample of 5000 points from an ellipsoidal blob (in 3D) that has some orientation. Assuming that each point has equal mass, I was asked to calculate the inertia tensor of this blob, then find the principal axes to determine the orientation of this blob...
  36. M

    What exactly is an inertial reference frame?

    Due to my job and other classes, I've been studying ahead of my class by myself to not fall behind and I'm not sure if I'm oversimplifying this in my head and not really grasping the idea. Newton's First Law of Motion states that an object with a net force of zero stays in constant motion (or...
  37. C

    Can Earth be considered an inertial reference frame?

    hi guys, i have a basic question on special relativity.. if the inertial reference frame denotes the frames that holds up the Newtonian 1st law, then can Earth be an inertial frame? i mean it changes direction of velocity as it moves in the orbit around sun, so its not in constant velocity ...
  38. A

    Switching inertial reference frames equations

    What is an inertial reference frame?How are positions,velocities and accelerations changed when switching between different inertial reference frames? r=rx i + ry j + rz k Inertial reference frame:It is a frame of reference where Newton's laws of motion is valid.No fictitious...
  39. D

    Can Something Travel Faster Than Light in Different Frames of Reference?

    hello, in relativity something can go faster than the speed of light as long as it is not in the observer's frame of reference which would say that a FOR has a size but i read that a FOR was infinite in all directions. Someone explain this contradiction please!
  40. A

    Newton's third law in terms of inertial position vectors for n-body system

    Assuming $$\vec{r_{a}}$$ and $$\vec{r_{b}}$$ is calculated from an inertial frame of reference. then for any two objects (named a and b) in a system of more than two objects, Is this the Newton's third law, $$\frac{d^{2}}{dt^{2}}m_{a}\vec{r_{a}}=-\frac{d^{2}}{dt^{2}}m_{b}\vec{r_{b}}$$...
  41. S

    Lenght Contractions in Inertial Reference Frames

    can inertial reference frame ever have "lenght contractions" in 3d or in rest? hi! thank you for all answers in this topic in previous threatin same topic. i open this new thread in same topic but here i try to keep the issue here very short and readable , with no speculation and concentrating...
  42. A

    Non inertial rotating frame

    Homework Statement Homework Equations Frotating = Finertial + Fcor + Fcf The Attempt at a Solution For the inertial field: F = -qv x b -kQq/r2 For the rotating field it would be the same term plus the coriolis and centrifugal forces. The issue I'm having trouble with is this: The v...
  43. S

    Can inertial reference frame have different sizes at least in theory?

    hi can inertial reference frame be in different sizes at least in theory? i mean that can there be two different frames of reference in same place at same time, where the observer in both frames observes physical laws to be normal in their own frame of reference, but the other frame appears to...
  44. F

    Reynolds numbers and inertial force

    Reynolds numbers and "inertial force" I am an undergrad physics major taking an engineering course that just introduced the concept of reynolds numbers. When I try to get an idea of how the Reynolds number is physically derived, I keep running into the definition that it is the "ratio of...
  45. T

    Same Temporal Order in all Inertial Frames

    Hello everyone, this is my first question here. I'm a mathematics student (actually pure math), but have recently found myself interested in learning about physics. I've started reading Introduction of Special Relativity by Rindler; I actually have no background in mechanics or basic physics...
  46. B

    Inertial and non inertial frames

    Hi, In the classical theory, there is an absolute rest frame, and every frame moving with constant velocity with respect to it is called inertial frame of reference. The frames that are accelerating with respect to it are called non inertial. To test whether a frame is an inertial, we test...
  47. J

    Is There a Minimum Energy Reference Frame?

    I have a small intuitive issue with the idea. If you could humour me for a moment, imagine a particle moving at some velocity v. An observer sitting on an armchair at rest wrt the background stars, but far enough away from them to negate any gravitational effects, sees the particle moving...
  48. R

    Inertial Mass vs. Gravitational Mass

    An interesting idea that my physics teacher posed to us yesterday, and apparently one that scientists have been puzzling over for quite a while: why is the mass as a measure of inertia equal to the mass in terms of gravity in our universe? My teacher said that this doesn't need to be the case...
  49. soothsayer

    Paradox of non inertial forces in relativity

    Ok, so I've been thinking of a certain paradox in relativity that I can't seem to resolve: We have two observers, one in a "stationary" frame outside the Earth. This observer is looking down on Earth at another observer sitting at rest with respect to the surface of the Earth, but obviously...
  50. J

    Velocity change by force in one and two inertial frame confusion

    Hi, I just finished class and my professor was writing some of Newton's Laws on the board and derived some equations. We ended up with: V(Δt)=FΔt (this is for velocity in first inertial frame V(2Δt)=2FΔt (this is for velocity in second inertial frame Then he went and got the position in...
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