ericmazur / PnPbook

Tracking of typos, errors, and improvements for "The Principles and Practice of Physics"
0 stars 1 forks source link

causation in rotation #205

Open JohnDenker opened 8 years ago

JohnDenker commented 8 years ago

In the chapter summary (aka «glossary») on page 280

  1. It says angular momentum is the capacity to make other objects rotate. The word "make" does not belong here. It invokes notions of causation which are inconsistent with any real understanding of the laws of physics.
  2. Similarly it says centripetal acceleration is required to make an object go around. Again, the word "make" does not belong here. It invokes notions of causation which are inconsistent with any real understanding of the laws of physics. In particular, consider the normal operation of a laboratory centrifuge. We control the rotation rate. It would make just as much sense (i.e. no sense at all) to say that the rotation causes the force, as to say the force causes the rotation. Also, a directly-centripetal force applied to a non-rotating object will definitely not make it rotate.

See also the general discussion of cause-and-effect in item #79.

Suggestions:

  1. There is a perfectly good definition of angular momentum in terms of linear momentum. L = r ∧ p
  2. There is a perfectly good definition of centripetal acceleration, namely the component of the acceleration in the direction toward the (instantaneous) center of rotation.

In any case, momentum does not cause rotation, and acceleration does not cause rotation.