What is angular motion?
Rotation. It involves movement around a fixed point or axis. E.g somersault
When does angular motion occur?
When a force is applied outside of the centre of mass. An off centre f9rce is refered to as an eccentric force
What is the transverse axis?
Runs side to side of the body. E.g a somersault
What is the saggital axis?
Runs back to front. E.g cartwheel
What is the longitudinal axis?
Runs top to bottom. E.g a spin in ice skating
What is torque?
A turning force that causes an object to turn a out its axis of rotation.
How cab torque be increased
Increase the size of the force
Apply the same force further form the COM.
What is the calculation of moment of force?
Force x perpendicular distance from the fulcrum (metres)
What is angular displacement?
The smallest change in angle between the starting and finishing point. This is measured in degrees and radians.
What is a radian?
1 radian = 57.3 degrees
What is angular velocity?
The rotational speed of an object and the axis about which the object is rotating. This is a vector due to the reference of direction. It is the rate of change of angular displacement
How do you calculate angular velocity (rad/s)
Angular displacement (rad) ÷ time taken (s)
What is angular acceleration?
The rate of change of angular velocity.
Angular acceleration (rad/s²) = change in angular velocity ÷ time taken (s)
What is the moment of inertia?
Resistance if the body to angular motion
What does the moment of inertia depend on
Mass
Distribution of mass
How does the mass affect moment of inertia?
Greater mass means greater resistance to change and therefore greater moment of inertia
How does the distribution of mass affect moment of inertia?
If its closer to the axis of rotation then its easier to turn because moment of inertia is low.
What is angular momentum?
The quantity of rotation a body possesses. This depends on angular velocity and moment of inertia. These 2 are inversely proportionally.
How do you work out angular momentum?
Moment of inertia x angular velocity
Explain how angular momentum is a conserved quantity
It remains constant unless an external torque force acts upon it. This means changing distribution of mass can change torque as most angular motion occurs in the air or on ice when there is little to no friction, so doesn’t affect angular momentum.
What is angular momentum measured in?
Kgm²/s
What is angular velocity measured in?
Rads/s
What is moment of inertia measured in?
Kgm²
How can you apply newton’s first law to angular motion?
“A rotating body will continue to turn about its axis of rotation with constant angular motion unless and external rotational force is exerted upon it”.
E.g an ice skater spinning in the air will spin until they land kn the ice where torque is exerted from the ice on their skates which changes their state of angular momentum