Rotational Position & Displacement definitions Flashcards
Rotational Position & Displacement definitions
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Rotational MotionMovement around a central point, forming a circular path, described using angular position.Angular PositionLocation in a circle, represented by a single angle, typically using the variable theta.Angular DisplacementChange in angular position, measured in radians or degrees, denoted as delta theta.RadiansA unit of angular measure where one radian is approximately 57 degrees.DegreesA unit of angular measure where a full circle is 360 degrees.RevolutionA complete rotation around a circle, equivalent to 360 degrees or 2π radians.Radial DistanceDistance from the center of a circle to a point on its circumference.Unit CircleA circle with a radius of one, used to define trigonometric functions.Arc LengthLinear distance along a circular path, calculated as r times theta.CircumferenceThe total linear distance around a circle, calculated as 2π times the radius.Linear DisplacementChange in linear position, linked to angular displacement by the equation delta x = r delta theta.ClockwiseDirection of rotation that follows the movement of a clock's hands, considered negative in angular terms.CounterclockwiseDirection of rotation opposite to a clock's hands, considered positive in angular terms.OriginFixed starting point in rotational motion, where theta equals zero, typically on the positive x-axis.ThetaSymbol used to represent angular position or displacement in rotational motion.