circular motion 1

Centripetal force definition

An objects motion around a circular or curved path

Uniform circular motion definition

Where the velocity remains constant in speed not direction.

Derivation for angular velocity

RPM to angular velocity equation

Frequency = RPM/60

W = 2piFrequency

Derivation for V=wr

r = radius

w = angular velocity

V = velocity

Rad = arc length/radius

Rad/time = arc length/radius x time

angular velocity (w) = rad/time

Velocity = arc length/time

Rad/time = s/rt = w =v/r

V = wr

Centripetal force

F = mw²r

F = mv²/r

Body undergoing centripetal force

Why does centripetal force not do any work?

Because work is only done in the direction the force acts in.

freebody diagram of a ball whiled in a vertical loop at the top sid and bottom and the ecpression for tension in each position