**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Lecture# Dynamics: Position, Velocity, and Acceleration

Description

This lecture covers the concepts of position, velocity, and acceleration in dynamics, including curvilinear abscissa, reference frames, and scalar speed. It also explains tangential and normal accelerations along a trajectory.

Official source

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related concepts (30)

Acceleration

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.

Centripetal force

A centripetal force (from Latin centrum, "center" and petere, "to seek") is a force that makes a body follow a curved path. The direction of the centripetal force is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path. Isaac Newton described it as "a force by which bodies are drawn or impelled, or in any way tend, towards a point as to a centre". In the theory of Newtonian mechanics, gravity provides the centripetal force causing astronomical orbits.

Four-velocity

In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetime that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space. Physical events correspond to mathematical points in time and space, the set of all of them together forming a mathematical model of physical four-dimensional spacetime. The history of an object traces a curve in spacetime, called its world line.

Four-acceleration

In the theory of relativity, four-acceleration is a four-vector (vector in four-dimensional spacetime) that is analogous to classical acceleration (a three-dimensional vector, see three-acceleration in special relativity). Four-acceleration has applications in areas such as the annihilation of antiprotons, resonance of strange particles and radiation of an accelerated charge. In inertial coordinates in special relativity, four-acceleration is defined as the rate of change in four-velocity with respect to the particle's proper time along its worldline.

Euler force

In classical mechanics, the Euler force is the fictitious tangential force that appears when a non-uniformly rotating reference frame is used for analysis of motion and there is variation in the angular velocity of the reference frame's axes. The Euler acceleration (named for Leonhard Euler), also known as azimuthal acceleration or transverse acceleration is that part of the absolute acceleration that is caused by the variation in the angular velocity of the reference frame. The Euler force will be felt by a person riding a merry-go-round.

Related lectures (32)

Frames of Reference: Physics 1PHYS-101(g): General physics : mechanics

Covers frames of reference in physics, emphasizing the importance of choosing a reference frame and the laws of physics in different frames.

Motion Analysis: Trajectories and AccelerationPHYS-101(a): General physics : mechanics

Explores trajectories, velocities, and accelerations in motion analysis, including tangential and normal acceleration components.

Rotating Vectors in Physics 1PHYS-101(g): General physics : mechanics

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Velocity and Acceleration in Cylindrical CoordinatesPHYS-101(g): General physics : mechanics

Explores velocity, acceleration, constraints, and harmonic oscillators in cylindrical coordinates and physics applications.

Kinematics: Trajectories and AccelerationsPHYS-101(a): General physics : mechanics

Explores trajectories, velocities, and accelerations, including tangential and normal components, curvilinear abscissa, and Galilean transformations.