One radian

CIRCULAR MOTION

"I shall now recall to mind that the motion of the heavenly bodies is circular, since the motion appropriate to a sphere is rotation in a circle." ~ Nicolaus Copernicus

ONE RADIAN

the angle subtended at the center of the circle by an arc of length equal to the radius of the circle

Angular displacement

the angle through which an object moves through a circle

s = r𝜃

Angular velocity

Rate of change of angular position of an object as it moves along a curved path

𝛚 = 𝜃 / t

Period
Time taken by the body to complete one cycle
𝛚 = 2π / T
v = 𝛚r

CIRCULAR MOTION

A body moving in a circle at a constant speed changes velocity since its direction changes. Thus, it is accelerating and hence experiences a force.

CENTRIPETAL FORCE

resultant force acting on an object moving in a circle, always directed towards the center of the circle perpendicular to the velocity of the object

F = = mrω2

 

USING NEWTON’S 2ND LAW WE GET

a = rω2 a =