equation for angular velocity with T

w=2pi/T T=time period to move in a full circle

equation for angular velocity with f

w=2pif unit rads-^-1

what is a centripetal force

a force that keeps a body moving at a uniform speed on a circular path. gravitational attraction is the centripetal force for the earth and sun

how can you find linear velocity of circular motion

linear velocity is always at a tangent to the circular path

v=2pir/T v=rw

in what direction does centripetal acceleration act?

towards the centre of the circle

equation for centripetal acceleration circular motion

a=rw^2

equation for centripetal force circular motion

F=mrw^2

SHM acceleration equation

a= -w^2

velocity in SHM

v= +/- w (A^2 - x^2 )^1/2

vmax in SHM

vmax=wA

displacement (x) in SHM from equilibrium

Acoswt (if it starts from a positive amplitude) or Asinwt (if it starts from the equilibrium point)

key features of objects moving SHM

- acceleration of the object is directly proportional to its displacement
- the minus sign shows acceleration of the object is in the opposite to the displacement
- time period is independent of the amplitude

what is an isochronous oscillator

an oscillator that has the same period regardless of amplitude. aka in SHM

graph of displacement against time for SHM

cos graph

graph of acceleration against time for SHM

upside down cos graph

graph of velocity against time for SHM

upside down sin graph