What is angular rotation?
Refers to rotation and involves movement around an axis
*Occurs when a force is applied outside the centre of mass = eccentric force
What is a torque?
*The rotational consequence of a force
*Applying force further away from axis of rotation increases the torque
How do you calculate torque?
Moment of force/torque (Nm) = force (N) x perpendicular distance from fulcrum (m)
Describe Newtons first law of angular motion
e.g?
*Law of inertia
A rotating body will continue to turn about its axis of rotation with constant angular momentum unless an external rotational force (torque) is exerted upon it
e.g figure skater continues to spin until hit ice and the torque exerted from the ice changes their state of angular momentum
Describe Newtons second law of angular motion
e.g?
*Law of acceleration
The rate of change of angular momentum of a body is proportional to the torque causing it and the change that takes place in the direction in which the torque acts
e.g diver leaning forward from a board creates more angular momentum than standing straight
Describe Newtons third law of angular motion
*Law of action/reaction
When a force (torque) is applied by one body to another, the second body will exert an equal and opposite force (torque) on the other body
e.g long jumper brings legs upwards causing a reaction
Define angular displacement
The smallest change in angle between the start and finish point of a rotation
(radians)
Define angular velocity
The rotational speed to the rotational speed of an object and the axis about which the object is rotating
The rate of change of angular displacement
(radians)
How is angular velocity calculated?
Angular velocity (rad/s) = angular displacement (rad)
/
time (s)
Define angular acceleration
The rate of change of angular velocity
How is angular acceleration calculated?
Angular acceleration (rad/s2) = change in angular velocity (rad/s)
/
time (s)
Define moment of inertia
The resistance to change in motion so moment of inertia is the resistance of a body to angular motion
Depends on mass and distribution of mass around axis of rotation
How does mass affect moment of inertia?
Greater mass = greater resistance to change = greater moment of inertia
How does distribution of mass from the axis of rotation affect moment of inertia?
Mass distributed further = greater moment of inertia
Describe how a tucked somersault affects the moment of inertia
*Smaller moment of inertia
*Distribution of body mass is closer to axis of rotation
*Rotate quicker (quicker angular velocity)
Describe how a straight somersault affects the moment of inertia
*Larger moment of inertia
*Distribution of body mass is further away from axis of rotation
*Rotate slower (slower angular velocity)
Define angular momentum
The quantity of rotation a body possesses or spin
How is angular momentum calculated?
Angular momentum = moment of inertia x angular velocity
Describe the conservation of angular momentum
e.g?
*Stays constant in fight unless an external torque acts upon it
*Moment of inertia and angular velocity are inversly proportional
*AM cannot be changed during flight
*Need to create as much torque as possible in preparation
e.g ice skater (ice = friction free), arms in spin = smaller moment of inertia, increases angular velocity
arms out at end of spin = larger moment of inertia, decreases angular velocity