Circular motion Flashcards
radian = ?
arc-length / radius
angle in radian = ?
degree x pi/180
angular speed
is the angle an object moves through per second w = x/t w = arc-length / radius x t = v/r. unit is rad s-1
frequency
is the number of complete resolutions per second
period
is the time taken for a complete revolution
f = ?
1/t
for a complete circle, w = ?
2 pi/t 2 pi f
centripetal accelaration
objects travelling in circles are accelerating since their velocity is changing. even if the car is going at a constant speed, its velocity is changing since its direction is changing. it is always directed towards the centre of the circle. unit is ms-2
a =
v^(2)/r = w^(2)r
newton first law
an object’s velocity will stay the same unless there’s a force acting on it
centripetal force
since an object travelling in a circle has a centripetal acceleration, there must be a force causing this acceleration. it acts towards the centre of the circle = mv^(2)/r = mw^(2)r. unit is N