**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 = 360o = 2p rad

180o = p rad or 1o = 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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