Related:
Acceleration,
Analytical mechanics,
Angular velocity,
Applied mechanics,
Axis of rotation,
Banked turn,
Cartesian coordinates,
Center of mass,
Centrifugal force,
Centrifugal force (fictitious),
Centripetal force,
Chain rule,
Circular motion,
Classical mechanics,
Coefficient of friction,
Coordinates (elementary mathematics),
Coriolis effect,
Curvature,
Curvilinear coordinates,
Dot product,
Dynamics (physics),
Fictitious force,
Force of gravity,
Frenet-Serret,
Frenet-Serret formulas,
Friction,
Generalized coordinates,
Generalized force,
Generalized forces,
Gravitational acceleration,
Gravity,
International Standard Book Number,
Isaac Newton,
Issac Newton,
Kinematics,
Kinetics,
Latin,
Mechanics of planar particle motion,
Net force,
Non-uniform circular motion,
Normal force,
Orbit,
Orthogonal coordinates,
Osculating circle,
Perpendicular,
Perpendicular component,
Planet,
Point mass,
Polar coordinate system,
Polar coordinates,
Radian per second,
Radius of curvature,
Reactive centrifugal force,
Right-hand rule,
Roller coaster,
Satellite,
Statics,
Tangent,
Tangent function,
Tangent lines to circles,
Tangential component,
Tensile stress,
Tension (physics),
Uniform circular motion,
Unit vector,
Vector addition,
Vector cross product,
Wiktionary,
Centripetal force is a force that makes a body follow a curved path; it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path.[1][2] The term centripetal force comes from the Latin words centrum ("center") and petere ("tend towards", "aim at"), signifying that the force is directed inward toward the center of curvature of the path. Isaac Newton's description was: "A centripetal force is that by which bodies are drawn or impelled, or in any way tend, towards a point as to a center."[3]
In physics, and more specifically kinematics, acceleration is the change in velocity over time.[1] Because velocity is a vector, it can change in two ways: a change in magnitude and/or a change in direction. In one dimension, i.e. a line, acceleration is the rate at which something speeds up or slows down. However, as a vector quantity, acceleration is also the rate at which direction changes.[2][3] Acceleration has the dimensions L T−2. In SI units, acceleration is measured in metres per second squared (m/s2).
Analytical mechanics is a term used for a refined, highly mathematical form of classical mechanics, constructed from the eighteenth century onwards as a formulation of the subject as founded by Isaac Newton. Often the term vectorial mechanics is applied to the form based on Newton's work, to contrast it with analytical mechanics. This distinction makes sense because analytical mechanics uses two scalar properties of motion, the kinetic and potential energies, instead of vector forces, to analyze the motion.[1]
In physics, the angular velocity is a vector quantity (more precisely, a pseudovector) which specifies the angular speed of an object and the axis about which the object is rotating. The SI unit of angular velocity is radians per second, although it may be measured in other units such as degrees per second, revolutions per second, degrees per hour, etc. When measured in cycles or rotations per unit time (e.g. revolutions per minute), it is often called the rotational velocity and its magnitude the rotational speed. Angular velocity is usually represented by the symbol omega (Ω or ω). The direction of the angular velocity vector is perpendicular to the plane of rotation, in a direction which is usually specified by the right hand grip rule.[1]Applied mechanics is a branch of the physical sciences and the practical application of mechanics. Applied mechanics examines the response of bodies (solids and fluids) or systems of bodies to external forces. Some examples of mechanical systems include the flow of a liquid under pressure, the fracture of a solid from an applied force, or the vibration of an ear in response to sound. A practitioner of the discipline is known as a mechanician.
A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center (or point) of rotation. A three-dimensional object rotates around a line called an axis. If the axis of rotation is within the body, the body is said to rotate upon itself, or spin—which implies relative speed and perhaps free-movement with angular momentum. A circular motion about an external point, e.g. the Earth about the Sun, is called an orbit or more properly an orbital revolution.A banked turn is the term used to describe a vehicle riding along a circle with inclined edges. The angle at which a turn is banked refers to the angle of incline of the given path. The benefit of such a structure is that there are forces other than that of friction to keep the car on its designated path. Banked turns also have applications to aviation.A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.