Centripetal acceleration

Radian

The angle subtended at the centre of a circle by an arc of the circle whose length is equal to the radius of the circle

arc length formula

d = θr

degrees to radians

multiply by 2π / 360

radians to degrees

multiply by 360 / 2π

Angular displacement

The angle moved through relative to a specific axis

Angular velocity

Rate of change of angular displacement with time

Linear speed of an object moving in a circle formula

v = 2πr / T

Angular frequency formula

ω = 2π/T

velocity formula

v = rω

frequency

number of rotations/time taken f = 1/T

period

time taken/number of rotations T = 1/f

angular frequecy other formula

ω = 2πf

any object moving in a circle has

CHANGING VELOCITY EVEN IF CONSTANT SPEED

why does an object have changing velocity in a circle

because the direction is changing and its always moving along a tangent to the circle

Acceleration

Rate of change of velocity

Resultant force acting on an object moving in a circle is called

The centripetal force

Acceleration and force act in the

Same direction as each other

The direction of the centripetal acceleration acts towards the

Centre of the circle

Acceleration is

Perpendicular to the velocity

Cebtripetal force formula

F = mω²r