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t. e. In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular arc. It can be uniform, with a constant rate of rotation and constant tangential speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves the circular ...
Tangential speed is the speed of an object undergoing circular motion, i.e., moving along a circular path. [1] A point on the outside edge of a merry-go-round or turntable travels a greater distance in one complete rotation than a point nearer the center. Travelling a greater distance in the same time means a greater speed, and so linear speed ...
The Frenet–Serret formulas are frequently introduced in courses on multivariable calculus as a companion to the study of space curves such as the helix. A helix can be characterized by the height 2π h and radius r of a single turn. The curvature and torsion of a helix (with constant radius) are given by the formulas.
Parametric equation. The butterfly curve can be defined by parametric equations of x and y. In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. [ 1 ] Parametric equations are commonly used to express the coordinates of the points that make up a geometric object ...
The speed in the formula is squared, so twice the speed needs four times the force, at a given radius. This force is also sometimes written in terms of the angular velocity ω of the object about the center of the circle, related to the tangential velocity by the formula v = ω r {\displaystyle v=\omega r} so that F c = m r ω 2 ...
Conical pendulum. A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of swinging back and forth along a circular arc, the bob of a conical pendulum moves at a constant speed in a circle or ellipse with the string (or ...
Curve fitting[ 1 ][ 2 ] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [ 3 ] possibly subject to constraints. [ 4 ][ 5 ] Curve fitting can involve either interpolation, [ 6 ][ 7 ] where an exact fit to the data is required, or smoothing, [ 8 ][ 9 ] in which a "smooth" function ...
In physics, circulation is the line integral of a vector field around a closed curve. In fluid dynamics, the field is the fluid velocity field. In electrodynamics, it can be the electric or the magnetic field. Circulation was first used independently by Frederick Lanchester, Martin Kutta and Nikolay Zhukovsky. [citation needed]