Thermodmmics 77
check the temperature, relax the band and check the temperature once
more).
(b) One end of the band is fixed, the other attached to weight W, and
(c) With the weight at rest OQ is added, and the equilibrium length L
Derive the equation by which you can predict the result of the last
(Princeton)
the frequency u of small vibrations is measured.
is observed to change by 6L.
measurement from the results of the first two.
Solution:
When heat 6Q is added with the weight at rest, i.e., with the stress kept
unchanged, we have 6s = 6Q/T. Therefore,
The elastic coefficient of the band is k = W(~KY)~/~.
As L - Lo = W/k, we get
dLo W dk
(%) = dT - kz dT ,
Thus
where
1081
The tension F in an ideal elastic cylinder is given by the equation of
state