Angular motion (pt. 2 studying IB sport)

Angular motion

Movement around a fixed point/axis

When does angular motion occur?

when a force is applied outside the center of mass

torque

the rotational force that causes an object to turn around an axis of rotation

Angular distance

Angle of rotation about the axis (measured in degrees or radians) ex: Ballet turn - angular distance = 360 degrees

Angular displacement

The smallest change in the angle between a start and finish point (measured in degrees or radians) Ex: Ballet turn - angular displacement = 0 degrees

Angular velocity

Rate of change of angular displacement (measured in radians/seconds)

Angular acceleration

Rate of change of angular velocity

Newton’s first law of angular motion

Law of conservation of angular momentum

The law of conservation of angular momentum states that

A rotating body will continue to turn with constant angular momentum unless an external force acts on it

Newton’s second law of angular motion

Law of angular acceleration

The law of angular acceleration states that

The angular acceleration of a body is proportional to the torque causing it

Newton’s third law of angular motion

Law of angular reaction

The law of angular reaction states that

for every torque that is exerted by one body on another, there is an equal and opposite torque exerted back