Analogies

There are many parallels between straight-line motion and rotational motion. This table shows some of them. We'll extend the list over the next few days.

VariableStraight-line motionRotational motionConnection
Displacement x q q = x/r
Velocity v w w = v/r
Acceleration a a a = a/r
Produces motion F t t = r F sinq
Inertia m I I = ò r2 dm
Second Law SF = ma St = I a
Work

W = F d cosq

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Kinetic Energy K = ½ mv2 ??