Angular velocityIn kinematics, angular velocity (symbol ω or ω→{\displaystyle {\vec {\omega }}}, the lowercase Greek letter omega), also known as the angular frequency vector, is a three-dimensional Euclidean vector that uniquely identifies the plane, direction and angular speed of rotation of a particle rotating in a circle at constant speed in three dimensions.
Circular motionObject movement along a circular path In kinematics, circular motion is the motion of an object along a circular path. Examples of this include a stone tied to a string, a car moving around a curve, and a point on a rotating wheel. Circular motion can be uniform, meaning the speed is constant, or non-uniform, meaning the speed changes. Even in uniform circular motion, the object is accelerating because its velocity changes direction.
SpeedIn kinematics, the speed of a moving object is the rate at which the distance travelled by the object changes with time. The average speed of an object in an interval of time is the distance travelled by the object divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero. Speed is the magnitude of velocity (a vector), which indicates additionally the direction of motion.
Angular frequencyIn physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the anglerate (the angle per unit time) or the temporal rate of change of the phaseargument of a sinusoidal waveform or sine function (for example, in oscillations and waves). Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity.
Circular arcA circular arc is the arc of a circle between a pair of distinct points. If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends a central angle that is less than πradians (180 degrees); and the other arc, the major arc, subtends an angle greater than π radians. An arc of a circle is defined as a part of the circumference of the circle. A straight line that connects the two ends of an arc is known as a chord of the circle.Rotational frequencyRotational frequency, also known as rotational speed or rate of rotation (symbols ν, lowercase Greek nu, and also n), is the frequency of rotation of an object around an axis. Its SI unit is the reciprocal seconds (s); other common units of measurement include the hertz (Hz), cycles per second (cps), and revolutions per minute (rpm). Rotational frequency can be obtained dividing angular frequency, ω, by a full turn (2πradians): ν=ω/(2πrad).
RadianThe radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. It is defined such that one radian is the angle subtended at the center of a plane circle by an arc that is equal in length to the radius. The unit is defined in the SI as the coherent unit for plane angle, as well as for phase angle.
Turn (angle)The turn (symbol tr or pla) is a unit of plane angle measurement that is the measure of a complete angle—the angle subtended by a complete circle at its center. One turn is equal to 2πradians, 360 degrees or 400 gradians. As an angular unit, one turn also corresponds to one cycle (symbol cyc or c) or to one revolution (symbol rev or r). Common related units of frequency are cycles per second (cps) and revolutions per minute (rpm).Tangent lines to circlesIn Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to that point, theorems involving tangent lines often involve radial lines and orthogonal circles.
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CircumferenceIn geometry, the circumference (from Latin circumferēns 'carrying around, circling') is the perimeter of a circle or ellipse. The circumference is the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure. Circumference may also refer to the circle itself, that is, the locus corresponding to the edge of a disk.*As an Amazon Associate I earn from qualifying purchases.