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The (mass-)specific force is not a coordinate acceleration, but rather a proper acceleration, which is the acceleration relative to free-fall.Forces, specific forces, and proper accelerations are the same in all reference frames, but coordinate accelerations are frame-dependent.
An equal norm frame is a normalized frame (sometimes called a unit-norm frame) if =. [21] A unit-norm Parseval frame is an orthonormal basis; such a frame satisfies Parseval's identity . Equiangular frames
From the spin frame perspective the stone may be said to experience balanced inward centripetal (T) and outward centrifugal (mv 2 /r) forces, which result in no acceleration at all from the perspective of that frame. Unlike the centripetal force, the frame-dependent centrifugal force acts on every bit of the circling stone much as gravity acts ...
Sometimes frames are distinguished by the scale of their observations, as in macroscopic and microscopic frames of reference. [2] In this article, the term observational frame of reference is used when emphasis is upon the state of motion rather than upon the coordinate choice or the character of the observations or observational apparatus. In ...
Obviously, a rotating frame of reference is a case of a non-inertial frame. Thus the particle in addition to the real force is acted upon by a fictitious force...The particle will move according to Newton's second law of motion if the total force acting on it is taken as the sum of the real and fictitious forces.
A fictitious force is a force that appears to act on a mass whose motion is described using a non-inertial frame of reference, such as a linearly accelerating or rotating reference frame. [1] Fictitious forces are invoked to maintain the validity and thus use of Newton's second law of motion , in frames of reference which are not inertial.
In classical physics and special relativity, an inertial frame of reference (also called an inertial space or a Galilean reference frame) is a frame of reference in which objects exhibit inertia: they remain at rest or in uniform motion relative to the frame until acted upon by external forces. In such a frame, the laws of nature can be ...
In physics, the Coriolis force is a fictitious force that acts on objects in motion within a frame of reference that rotates with respect to an inertial frame. In a reference frame with clockwise rotation, the force acts to the left of the motion of the object. In one with anticlockwise (or counterclockwise) rotation, the force acts to the right.