Further mechanics and rotational dynamics

occurs when the force acts ____________ to the direction of the objects velocity

perpendicular

Direction is ____ but speed is _____ so the object has a ______ changing ______

changing , constant, constantly , acceleration

________ force causes the acceleration

• it acts towards the _____

• direction of the velocity is ______

Centripetal ,centre, tangential

centripetal force = __x__² /____

or

= __ (____)² r

=mxv / r

or

= m (omega) r

Centripetal acceleration = v² /r

or

(_____)² r

omega

Omega (angular speed)

• the angular _______ travelled per second

  • Omega = 2__/__

  • Or Omega= theta / __

distance , pi , T, t

inertia is how hard it is to _____ __ _____ __ _____

stop or start an object

high inertia means there is a high _______

difficulty

inertia = _ x _ ²

m x r²

wheel of a car has translational ke (__ _ _² ) and _________ ke.

• total ke = _ _ _ ² + - - ——²

  • if we change the _________ of mass around the ____ of rotation we change the ____

1/2mv² , rotational , 1/2mv² + ½ I OMEGA² , distribution , axis , inertia

f = ma can be rewritten as Torque = ______ x ______

inertia x alpha (angular acceleration)

alpha = the change in _____ speed over time

angular

Torque then equals the change in _____ over time

• this can be rearranged to give ____ ____ in the form Tt= I (v-u)

inertia, angular impulse

Angular momentum = ___ x ___

inertia x omega