angular motion Flashcards
angular motion
movement around a fixed point
transverse axis and eg
side to side e.g. somersault
sagittal axis and eg
front to back e.g. cartwheel
longitudinal axis and eg
top to bottom e.g. spin in ice skating
torque and formula
rotational consequence of a force
= force x perpendicular distance from fulcrum
newtons first law or angular motion
rotating body will continue to turn about its axis with constant angular momentum unless an external rotational force (torque) is acted upon it
newtons second law of angular motion
the rate of change of angular momentum of a body is proportional to the force (torque) causing it and the change that takes place in the direction in which the force (torque) acts
newtons third law of angular motion
when a force is applied by one to another, the 2nd body will exert an equal and opposite force on another body
angular displacement
smallest change in angle between start and finish point of a rotation
angular velocity and formula
rate of change of angular displacement
= angular displacement (rad) / time taken(s)
angular acceleration and formula
rate of change of angular velocity
= change in angular velocity(rad) / time taken (s)
radian to degrees
1 radian = 57.3 degrees
moment of inertia
resistance of a body to angular motion
- applied to start of rotation when body will resist AM
moment of inertia depends on:
- mass of body/object - greater the mass the greater the resistance to change = increased MOI
- distribution of mass from the axis of rotation - increased distance from axis of rotation will increase MOI
angular momentum and formula
quantity of rotation a body possesses
momentum of inertia x angular velocity
characteristics of angular momentum
- stays constant unless an external force is acted upon it
- occurs during flight/ice/snow
e. g. diver AM is constant till he hits the water or changes body position
conservation of angular momentum
only a figure skater can manipulate moment of inertia to increase or decrease speed of spin
- increased distance from axis of rotation = large MOI and angular momentum so rotation is slow