Angular momentum

angular momentum (L)

• L = Iω

  • moment of inertia x angular velocity 

• a vector 

  • use + for counter-clockwise 

  • use - for clockwise

L = Iω

Angular momentum equation

conservation of angular momentum 

• when there is no net external torque acting on a system, the total angular momentum of the system remains constant 

  • Tnet = Ia = I (dω/dt) = d (Iω) / dt = dL / dt

when there is no net external torque acting on a system, the total angular momentum of the system remains constant

remember: when there is no net external torque acting on a system, the total angular momentum of the system remains constant

total angular momentum of the system remains constant (Li=Lf)

when it is an isolated system then there is no net external torque acting on the system so _____?

large moment of inertia

when a systems mass is distributed away from the axis of rotation, the moment of inertia is what?

slow spin

Large moment of inertia = ____ spin?

small moment of inertia

when a systems mass is closer to the axis of rotation, the moment of inertia is what?

fast spin

Small moment of inertia = _____ spin?