angular motion

refers to rotation and movement around a fixed point or axis

torque

newtons laws (angular)

moment of inertia

the rotational consequence of a force

force x perpendicular distance from the fulcrum

inertia

acceleration

a rotating body will continue to turn about the axis of rotation with a constant angular momentum unless torque is placed upon it

the greater the torque exerted, the faster rotation will be

action reaciton

when torque is applied by one body to another, the second body will exert an equal and opposite force on the other body

quantities used

angular displacement - the smallest change in angle between the start and finish point of a rotation measured in radian (1 radian = 57.3 degrees)

angular velocity - the rate of change of angular displacement angular velocity = angular displacement (rad) / time taken (s)

angular acceleration - the rate of change of angular velocity aa (rad/s2) = change in angular velocity (rad/s) / time taken

resistance of a body to angular motion

dependent on mass of the body and distribution of mass around the axis

mass

greater the mass = greater the resistance to change

distribution

closer the mass = the easier to turn due to low moment of inertia

further away the mass = larger moment of inertia

angular momentum

the quantity of rotation a body possesses

angular momentum (L) = moment of inertia x angular velocity

conservation of angular momentum

occurs in sport during flight or on ice/snow where there is little friction

happens when the athlete directly manipulates their inertia e.g. when a figure skater performs multiple spins