Analogies

We've looked at several analogies between straight-line motion and rotational motion, including:

VariableStraight-line motionRotational motionConnection
Displacement x q
q =
x
r
Velocity v w
w =
v
r
Acceleration a a
a =
at
r
Produces motion F t t = r F sinq
Inertia m I I = c mr2
Second Law SF = ma St = I a
Momentump = mv L = Iw L = r mv sinq
Impulse Dp = F Dt DL = t Dt
Kinetic Energy K = ½ mv2 K = ½ Iw2
Work

W = F d cosq

W = t Dq cosq
Power

P = F v cosq

P = t w cosq