Lecture 22 - Angular Impulse Momentum Flashcards
what is the equation for angular acceleration
a = T / mr^2
angular acceleration = torque / mass x radius^2
the mass moment of inertia is the resistance to
the resistance to rotate
what is inertia equal to if object rotates about an axis that is not the centre of mass
total inertia = inertia centre of mass + mk^2
what is the parallel axes theorem
the total inertia is equal to = Icom +mk^2
this is the local + the remote
what is the radius of gyration
describes the distribution of the mass relative to the centre of rotation
moment of inertia is the distribution of
mass around the axis of rotation
mass moment of inertia only explains
how difficult it may be to generate rotation about a given axis
what is the linear and angular momentum equations
momentum (L) = mass x velocity
angular momentum (H) = mr^2 x w
angular momentum is the product of
moment of inertia and angular velocity
what are the three factors that affect the magnitude of a body’s angular momentum
- its mass (m)
- the distribution of that mass with respect to the axis of rotation (k or r)
- the angular velocity of the body (w)
what are the units of angular momentum
kg m^2 rad/s
once airborne it is possible for the athlete to alter their
their angular velocity by changing their moment of inertia
when a body is rotating in the air, momentum is …
momentum is conserved
momentum can be transferred between
axes within a rotating object
what is the equation for angular momentum (both local and remote and what do these combine to to find total angular momentum of a multisegment)
remote : H = mK^2w
local : Hcm = (Icm)w
total : H = (Icm)w +mk^2w
