CIRCULAR MOTION-ANGULAR MOTION-RADIAN

CIRCULAR MOTION-ANGULAR MOTION-RADIAN

	UNIFORM CIRCULAR MOTION
	When an object moves in a circular path such that the magnitude of velocity is constant then, the motion is called uniform circular motion.
	ANGULAR MOTION
	When a body moves along a circular path it traverses a certain angle in a given interval of time. This type of motion is called ‘angular motion‘.
	ANGULAR DISPLACEMENT
	“The angle traveled by a body during its motion around a circular path is called its angular displacement.” Consider a particle moves in a circular path from a point P₁ to P₂ in an interval of time Dt. It travels an angle <p₁OP₂ = q which is called angular displacement of the particle.

	RADIAN
	One radian is the angle traced by an arc of length equal to radius of circle. Length of circular track of radius r is 2p r. Therefore, numbers of radians in a circle of radius r will be =2p r / r = 2pAngle at the centre of circle in one complete rotation = 360^o = 2p rad 180^o = p rad or 1^o = p / 180 rad.
	RELATION BETWEEN LENGTH OF ARC AND THE ANGLE SUBTENDED
	The length of arc “S” is directly proportional to angle q subtended (measured in radians) traced at the centre of circle by ends of the arc.

	S a q
	S = rq
	Where r is radius of circle.

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