Circular motion PH16

SI unit for angle

Radian

Radian definition

The angle subtended by a circular arc with length equal to the circle radius. (57.3 degrees)

Angular velocity (omega) definition

Rate of change of angle theta/time

angular velocity measurement

rads per second

Centripetal force definition

Any force that keeps a body moving at uniform speed along a circular path.

Centripetal acceleration definition

Acceleration of any object travelling in a circular path at constant speed.

Centripetal force definition

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

Angular velocity formula 1

Omega = 2pi/T

Angular velocity formula 2

Omega = 2pif

Velocity formula

V = Omega*r

Acceleration formula 1

a = V²/r

Acceleration formula 2

a = Omega²*r

Force formula 1

F = mv² / r

Force formula 2

F = m*omega²*r