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Re: Thermal Energy - thermalization of rotational energy



Some details of thermalizing the rotational energy of a car's wheel:
Consider an isolated car with a single spinning wheel. When the internal
brake is applied, the angular velocity of the wheel goes from some w to
zero, while the ang vel of the (rest of the) car goes from zero to some W.
Cons of ang mom requires:

1) IW = iw, where I and i are the appropriate moments of inertia of "car"
and wheel.

The thermal energy generated (Q) is given by the cons of energy:

2) Q = .5 iw^2 - .5 IW^2 , combining 1) and 2) =>

Q = .5 iw^2 * (1-i/I) as the "heat" resulting from this thermalization.

A simpler scenario would have two wheels spinning in opposite senses, so
that there is zero net ang mom. Then 100% of the spinning wheels'
rotational energy can be thermalized by braking both wheels, with zero
residual rotational energy of anything.

Bob Sciamanda (W3NLV)
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
http://www.velocity.net/~trebor